2 Electrical Energy Storage -+◊ We can store electric energy in a capacitor :◊ Found in nearly all electronic circuits eg. in photo-flash units.◊ Simplest is: two close but separated parallel plates.When connected to a battery electrons get transferred fromone plate to the other until the potential difference betweenthem = voltage of battery.◊ How?Positive battery terminal attracts electrons on LH plate; these are then pumped through battery, through the terminal to the opposite plate. Process continues until no more potential difference btn plate and connected terminal.◊ Discharging: when conducting path links the two charged plates.◊ Discharging is what creates the flash in a camera.animation ????If very high voltages (eg caps in tv’s), its dangerous if you are this path!
3 Potential difference or Voltage (symbol V) When the ends of an electric conductor are at different electric potential, charge flows from one end to the other. Voltage is what causes charge to move in a conductor. Charge moves toward lower potential energy the same way as you would fall from a tree.Voltage plays a role similar to pressure in a pipe; to get water to flow there must be a pressure difference between the ends, this pressure difference is produced by a pumpA battery is like a pump for charge, it provides the energy for pushing the charges around a circuit
4 Voltage and current are not the same thing You can have voltage, but without a path (connection) there is no current.AnelectricaloutletvoltageCurrent– flow of electric chargeIf I connect a battery to the ends of the copper bar the electrons in the copper will be pulled toward the positive side of the battery and will flow around and around. this is called current – flow of chargecopperAn electric circuit!Duracell+
5 Electric current (symbol I) ◊ the flow of electric charge q that can occur in solids, liquids and gases.DEF: the rate at which charge flows past a given cross-section.measured in amperes (A)qSolids – electrons in metals and graphite, and holes in semiconductorsLiquids – positive and negative ions in molten and aqueous electrolytesGases – electrons and positive ions stripped from gaseous moleculesby large potential differences.
6 Electrical resistance (symbol R) Why is it necessary to keep pushing the charges to make them move?The electrons do not move unimpeded through a conductor. As they move they keep bumping into the ions of crystal lattice which either slows them down or bring them to rest..pathatoms(actually positive ions)free electronThe resistance (R) is a measure of the degree to which the conductor impedes the flow of current.Resistance is measured in Ohms ()
7 OHM’S LAW - Current, Voltage and Resistance DEF: Current through resistor (conductor) is proportional to potential difference on the resistor if the temperature of a resistor is constant(the resistance of a conductor is constant).◊ math def:if resistance R is constant/ temperature is constantI – current V – potential difference across R
8 ExamplesIf a 3 volt flashlight bulb has a resistance of 9 ohms, how much current will it draw?I = V / R = 3 V / 9 = 1/3 AmpsIf a light bulb draws 2 A of current when connected to a 120 volt circuit, what is the resistance of the light bulb?R = V / I = 120 V / 2 A = 60
9 Effects of electric current on the BODY- electric shock Current (A)Effect0.001can be felt0.005painful0.010involuntary muscle contractions (spasms)0.015loss of muscle control0.070if through the heart, serious disruption; probably fatal if current lasts for more than 1 secondquestionable circuits: live (hot) wire ? how to avoid being electrified?keep one hand behind the body (no hand to hand current through the body)2. touch the wire with the back of the hand. Shock causing muscular contraction will not cause their hands to grip the wire.
10 human body resistance varies: 100 ohms if soaked with salt water;moist skin ohms;normal dry skin – ohms,extra dry skin – ohms.What would be the current in your body if you touch the terminals of a 12-V battery with dry hands?I = V/R = 12 V/ W = A quite harmlessBut if your hands are moist (fear of AP test?) and you touch 24 V battery, how much current would you draw?I = V/R = 24 V/1000 W = Aa dangerous amount of current.
11 Factors affecting resistance Conductors, semiconductors and insulators differ in their resistance to current flow.DEF: The electrical resistance of a piece of material is defined by the ratio of the potential difference across the material to the current that flows through it.The units of resistance are volts per ampere (VA-1).However, a separate SI unit called the ohm Ω is defined as the resistance through which a current of 1 A flows when a potential difference of 1 V is applied.
12 Wires, wires, wiresAs you are going to see, the resistance of a wire can be completely ignored – if it is a thin wire connecting two, three or more resistors, or becoming very important if it is a long, long wire as in the case of iron, washing machine, toaster ….., where it becomes resistor itself.The resistance of a conducting wire depends on four main factors: • length • cross-sectional area • resistivity • temperature
13 Cross Sectional Area (A) The cross-sectional area of a conductor (thickness) is similar to the cross section of a hallway. If the hall is very wide, it will allow a high current through it, while a narrow hall would be difficult to get through. Notice that the electrons seem to be moving at the same speed in each one but there are many more electrons in the larger wire. This results in a larger current which leads us to say that the resistance is less in a wire with a larger cross sectional area.Length of the Conductor (L)The length of a conductor is similar to the length of a hallway. A shorter hallway will result in less collisions than a longer one. TemperatureTo understand the effect of temperature you must picture what happens in a conductor as it is heated. Heat on the atomic or molecular scale is a direct representation of the vibration of the atoms or molecules. Higher temperature means more vibrations. In a cold wire ions in crystal lattice are not vibrating much so the electrons can run between them fairly rapidly. As the conductor heats up, the ions start vibrating. As their motion becomes more erratic they are more likely to get in the way and disrupt the flow of the electrons. As a result, the higher the temperature, the higher the resistance. At extremely low temperatures, some materials, known as superconductors, have no measurable resistance. This is called superconductivity. Gradually, we are creating materials that become superconductors at higher temperatures and the race is on to find or create materials that superconduct at room temperature. We are painfully far away from the finish line.
14 Resistance also depends on temperature, usually increasing as the temperature increases. At low temperatures some materials, known as superconductors, have no resistance at all. Resistance in wires produces a loss of energy (usually in the form of heat), so materials with no resistance produce no energy loss when currents pass through them.And that means, once set up in motion (current) you don’t need to add additional energy in oder to keep them going.The dream: current without cost!!!!!!!!! Both in money and damage to environment!!!!!!!!
15 Of course, resistance depends on the material being used. Resistance of a wire when the temperature is kept constant is:The resistivity, ρ (the Greek letter rho), is a value that only depends on the material being used. It is tabulated and you can find it in the books. For example, gold would have a lower value than lead or zinc, because it is a better conductor than they are.The unit is Ω•m.In conclusion, we could say that a short fat cold wire makes the best conductor.If you double the length of a wire, you will double the resistance of the wire.If you double the cross sectional area of a wire you will cut its resistance in half.
16 ExampleA copper wire has a length of 160 m and a diameter of 1.00 mm. If the wire is connected to a 1.5-volt battery, how much current flows through the wire?The current can be found from Ohm's Law, V = IR. The V is the battery voltage, so if R can be determined then the current can be calculated. The first step, then, is to find the resistance of the wire:L = 1.60 m.r = 1.00 mmr = 1.72x10-8 Wm, copper - booksThe resistance of the wire is then:R = r L/A = (1.72x10-8 Wm)(1.67)/(7.85x10-7m2 ) = 3.50 WThe current can now be found from Ohm's Law:I = V / R = 1.5 / 3.5 = A
17 Ohmic and Non-Ohmic conductors How does the current varies with potential difference for some typical devices?metal at const. temp filament lamp diodecurrentcurrentcurrentpotentialdifferencepotentialdifferencepotentialdifferencedevices are non-ohmic ifresistance changesDevices for which current through them is directly proportional to the potential difference across device are said to be ‘ohmic devices’ or ‘ohmic conductors’ or simply resistors. There are very few devices that are trully ohmic. However, many useful devices obey the law at least over a reasonable range.
18 Do Now Answer the following What is power? What is unit for power? Can you figure out 2 reasons for this year Nobel prize in physics?It is an invention of greatest benefit to mankind“for the invention of efficient blue light-emitting diodes which has enabled bright and energy-saving white light sources"
19 The main advantage is efficiency The main advantage is efficiency. In conventional tungsten/wolfram bulbs, the light-production process involves generating a lot of heat (the filament must be warmed). This is completely wasted energy, unless you're using the lamp as a heater, because a huge portion of the available electricity isn't going toward producing visible light. LEDs generate very little heat, relatively speaking. A much higher percentage of the electrical power is going directly to generating light, which cuts down on the electricity demands considerably.https://www.youtube.com/watch?v=oCEKMEeZXug
20 By the End of Today’s Class You Should Be Able To… Define and calculate electric powerDescribe the difference between current and electron flowContrast DC and AC currentDifferentiate between real and drift speed of electronsCalculate how much your parents pay for devices you use
21 Agenda… 10 minutes 20 minutes 30 minutes Do Now INM: Using Electrical Energy20 minutesGuided Practice ProblemsIndependent Practice30 minutesClosing, Exit Ticket
22 Electrical Energy, Resistance, and Power Energy supplied to a circuit can be transformed in many useful ways.Remember that current moving througha resistor increases its thermal energy because flowing electrons collide with lattice ions of the resistor.As a result the amplitude of vibrations of the ions increases and therefore the temperature of the device increases. We say device dissipates energy in it.However not all of the electrical energy delivered ends up in useful form.The light bulb to the left transforms some of the electrical energy from the battery into thermal energyWhere is that energy coming from?This energy is equal to the potential energy lost by the charge as it moves through the potential difference that exists between the terminals of the device.
23 Power dissipation in resistors DEF: Power is the rate at which electric energy is convertedinto another form such as mechanical energy, heat, or light.Power is measured in J s-1 called watts W.If a vacuum cleaner has a power rating of 500 W, it meansit is converting electrical energy to mechanical, soundand heat energy at the rate of 500 J s-1.A 60 W light globe converts electrical energy to light and heat energy at the rate of 60 J s -1.Appliance Power ratingBlow heater 2 kWKettle kWToaster kWIron WVacuum cleaner kWTelevision W
24 P = I V Deriving expressions for determining power Basic definition of power:Remember: W = qV → and I = q/t, soP = I VP = IV = V2/R = I2 R
25 CFU Comparison of US and other countries that use voltage of 240 V. The power of appliances must be roughly the sameVoltage in USA is 120V and in other countries 120 V.Which appliances have to draw a greater current?A) in USA,B) other countriesWhich appliances have less resistance?A) in USA,B) other countriesWhich countries use thicker wire (both used for connecting and in appliances)?A) in USA,B) other countriesSo, 220V was an economically more meaningful choice. There is really not too much safety difference between getting zapped by 110V or 220V !!!
26 CFUexampleHow much current is drawn by a 60 Watt light bulb connected to a 120 V power line?P = 60 W = I V = I x 120so I = 0.5 AWhat is the resistance of the bulb?I = V/R R = V/I = 120 V/0.5 AR = 240
27 Direct Current (DC) electric circuits a circuit containing a battery is a DC circuitin a DC circuit the current always flows in the same direction.a circuit must provide a closed path for the current to circulate aroundwhen the electrons pass through the light bulb they loose energy the bulb gives light and heats upthe battery is like a pump that re-energizes them each time they pass through itDuracell+
28 Direction of CurrentCurrent is defined as the direction positive charges would flowFrom + side of battery to – side of batteryFun FactBenjamin Franklin defined current in this manner long before we knew much about charges.Now, we know that positive charges stay put and negative charges flow. So, electrons actually flow opposite current.hystoric explanationclick me
29 it’s not even a snail’s pace!!!!! Drift speedWhen a battery is connected across the ends of a metal wire, an electric field is produced in the wire.All free electrons in the circuit start moving at the same time.Free electrons are accelerated reaching enormous speeds of about 106 ms-1. They collide with positive ions of crystal lattice generating heat that causes the temperature of the metal to increase.After that, they are again accelerated because of the electric field,until the next collision occurs.Due to the collisions with positive ions of crystal lattice, hence changing direction, it is estimated that the drift velocity is only a small fraction of a metre each second (about 0.1mm/s).example: it takes ~ 3 hour for an electron to travel through 1m in an electric circuit of a car.it’s not even a snail’s pace!!!!!
30 AC movement of electrons in a wire the electricity that you get from the power company is not DC it is AC (alternating) created by an AC electric generator.In an AC circuit the current reverses direction periodicallyAC movement of electrons in a wire_+AC current alternates in direction. The back-and-forth motion occurs at frequencyof 50 or 60 Hz, depending on the electrical system of the country.!!!!!!! the source of electrons is wire itself – free electrons in it !!!!!!If you are jolted by electric shock, electrons making up the current in your body originate in your body. They do NOT come from the wire through your body into the ground. Alternating electric field causes electrons to vibrate. Small vibrations – tingle; large vibrations can be fatal.
31 How does the voltage and current change in time? DC does not change direction over time;the actual voltage in a 120-V AC circuit varies between +170V and -170V peaks.currenttimeAC
32 AC vs. DC currentfor heaters, hair dryers, irons, toasters, waffle makers, the fact that the current reverses makes no difference. They can be used with either AC or DC electricity.battery chargers (e.g., for cell phones) convert the AC to DCWhy do we use AC ?? DC seems simpler?late 1800’s the war of the currentsEdison (DC) vs Tesla (Westinghouse) (AC)Edison opened the first commercial power plane for producing DC in NY in 1892Tesla who was hired by George Westinghouse believed that AC was superiorTesla was right, but Edison never gave up!
33 Why AC is better than DC DC power is provided at one voltage only There is energy lost in a power line due to dissipation of energy to heat throughout the length of the cable.So DC power plants must be close to usersThe major advantage of AC: AC voltages can be transformed to higher or lower voltages (can be stepped up or down to provide any voltage required) by the use of the transformers.This means that low voltage produced in a generator can be stepped up to higher voltage. High voltages in power lines are actually needed for sending power from one place to another over great distances.Power is equal to the current times the voltage. That means that if you want to send a lot of power you can use: a) high current b) high voltageif you use high current, resistance should be small. To reduce the resistance of power lines becomes very expensive since, in order to do this, bigger cables must be used (heavier cables aren’t very safe either).To avoid a lot of the power to be lost to the resistance in the wires it is much better to use high voltage since the currents are smaller then!
34 Electrical energy sent at high voltage over great distances from the power station can be eventually reduced to a safer voltage for use in the house.Some long distance power lines use voltages of more than 500,000 VAC plants can be far outside citiesby 1895 DC was out and AC was in
35 Paying for electricity You pay for the total amount of electrical energy (not power) that is used each monthIn Irving the cost of electric energy used is 12 ¢ per kilowatt-hour.How do we get kilowatt-hour and what is that?Power = energy/timePhysicists measure energy in joules, but utility companies customarily charge energy in units of kilowatt-hours (kW h), where :Kilowatt-hour (kWh) = 103 W x 3600 s1W x 1s = 1J1 kWh = 3.6 x 106 J
36 How much current does it draw? 𝐼= 𝑉 𝑅 𝐼 = 0.0096 A or 9.6 mA Model $$$Problem$$$:A digital clock has a resistance of 12,000 Ω and is plugged into a 115 V outlet.How much current does it draw?𝐼= 𝑉 𝑅𝐼 = A or 9.6 mAHow much power does it use?P = 𝐼 VP = 1.10 WIf the owner of the clock pays $0.12 per kWh, how much does it cost to operate the clock for 30 days?Use V = IRI = A or 9.6 mAb) Use P = IVP = 1.10 Wc) Figure the amount of kW used by the clock over 30 daysUse P(t) = E; where time is in hours and P is in kWThen cost = E($.12)Cost = $0.10amount of power in kW used by the clock over 30 daysE = Pt ; where time is in hours and P is in kWcost = E($.12)Cost = $0.10
37 Agenda…Do Now10 minutesINM: Using Electrical Energy20 minutesGuided Practice ProblemsIndependent Practice30 minutesClosing, Exit TicketAs you work with a partner, take 10 minutes to answer the problems on the handout.we will finish together as a whole group and review our progress.
38 Guided PracticeAnswer the following problems1) A 15 ohm electric heater operates on a 120 V outlet.a) What is the current running through the heater?I = 8.0 Ab) How much energy is used by the heater in 30.0 s?E = 2.9x104 Jc) How much thermal energy is liberated in this time?2) An electric space heater draws 15.0 A from a 120 V source.It is operated, on the average, for 5.0 h each day.a) How much power does the heater use?P = 1.8 kWb) How much energy in kWh does it consume in 30 days?E = 270 kWhc) At $0.12 per kWh, how much does it cost to operate the heater for 30 days?$32.40
39 INM: Using Electrical Energy 20 minutes Guided Practice Problems Agenda…Do Now10 minutesINM: Using Electrical Energy20 minutesGuided Practice ProblemsIndependent Practice30 minutesClosing, Exit TicketWork in silence please.Raise your hand if you have a question, I will help you but I will not just give you the answer to any problem during this time.
40 Agenda…Do Now10 minutesINM: Using Electrical Energy20 minutesGuided Practice ProblemsIndependent Practice30 minutesClosing, Exit Ticket
41 Electromotive force (emf – ε or E) We have defined potential difference as the amount of work that has to be done to move a unit positive charge from one point to the other in an electric field.A battery or an electric generator that transforms one type of energy into electric energy is called source of electromotive forceDEF: emf (ε) of the source is the potential difference between the terminals when NO current flows to an external circuit.(IT IS A VOLTAGE NOT A FORCE).In the true sense, electromotive force (emf) is the work (energy) per unit charge made available by an electrical source.
42 D.C. circuit analysisElectric Circuits: Any path along which electrons can flow is a circuit. For a continuous flow of electrons, there must be a complete circuit with no gaps. A gap is usually provided by an electric switch that can be opened or closed to either cut off or allow electron flow.An electric circuit has three essential components1. A source of emf.2. A conducting pathway obtained by conductingwires or some alternative.3. A load to consume energy such as a filamentglobe, other resistors and electronic components.When the switch is closed, a current exists almost immediately in all circuit. The current does not “pile up” anywhere but flows through the whole circuit. Electrons in all circuit begin to move at once. Eventually the electrons move all the way around the circuit. A break anywhere in the path results in an open circuit, and the flow of electrons ceases.
43 Terminal voltage, emf and internal resistance In the circuit the total energy supplied is determined by the value of the emf. When electrons flow around a circuit, they gain potential energy in the cell and then lose the energy in the resistors. In a closed circuits charge must flow between the electrodes of the battery and there is always some hindrance to completely free flow. So when the current I is drawn from the battery there is some resistance called INTERNAL RESISTANCE (r ) of the battery causing the voltage between terminals to drop below the maximum value specified by the battery’s emf.Thus the TERMINAL VOLTAGE (the actual voltage delivered) is:V = e - Ir
44 In the mid-nineteenth century, G. R In the mid-nineteenth century, G.R. Kirchoff ( ) stated two simple rules using the laws of conservation of energy and charge to help in the analysis of direct current circuits.These rules are called Kirchoff’s rules.
45 1. Junction rule – conservation of charge. ‘The sum of the currents flowing into a point in a circuit equals the sum of the currents flowing out at that point’.I1 + I2 = I3 + I4 + I52. loop rule – conservation of energy principle: Energy supplied equals the energy released in this closed path‘In a closed loop, the sum of the emfs equals the sum of the potential drops’.V = V1 + V2 + V3
46 Resistors in Series • connected in such a way that all components have the same current through them.• Burning out of one of the lamp filaments or simplyopening the switch could cause such a break.Equivalent or total or effective or resistance is the one that could replace all resistors resulting in the same current.logic: the total or effective resistance would have length L1+ L2+ L3and resistance is proportional to the length
47 Resistors in Parallel• Electric devices connected in parallel are connected to the same two points of an electric circuit, so all components have the same potential difference across them.• The current flowing into the point of splitting is equal to the sum of the currents flowing out at that point: I = I1 + I2 + I3.• A break in any one path does not interrupt the flow of charge in the other paths. Each device operates independently of the other devices. The greater resistance, the smaller curent.equivelent resistance is smaller than the smallest resistance.
49 RESISTORS IN COMPOUND CIRCUITS Now you can calculate current, potential drop and power dissipated through each resistor
50 power dissipated in the circuit = example: Find power of the source, current in each resistor, terminal potential, potential drop across each resistor and power dissipated in each resistor.Req = 120 WI = ε/Req = 0.3 Aterminal potential: V = ε – Ir = 36 – 0.3x6.7 = 34 Vcurrent through resistors 100Ω and 50Ω : I = I1 + I I1R1 = I2R20.3 = I1 + I I1 = 50 I → I1 = 0.1 A I2 = 0.2 Apotential dropsV = IRpower dissipatedP = IV80 Ω0.3x80 = 24 V0.3x24 = 7.2 W100 Ω0.1x100 = 10 V0.1x10 = 1 W50 Ω0.2x50 = 10 V0.2x10 = 2 W6.7 Ω0.3x6.7 = 2 V0.3x2 = 0.6 Wε = Σ all potential drops36 V = 2 V + 24 V + 10 Vpower dissipated in the circuit =power of the source= 0.3x36
51 Ammeters and voltmeters In practical use, we need to be able to measure currents through components and voltages across various components in electrical circuits. To do this, we use AMMETERS and VOLTMETERS.
52 An ammeter – measures current passing through it • is always connected in series with a component we want to measure in order that whatever current passes through the component also passes the ammeter.• has a very low resistance compared with theresistance of the circuit so that it will not alter thecurrent the current being measured.• would ideally have no resistance with no potentialdifference across it so no energy would bedissipated in it.
53 A voltmeter – measures voltage drop between two points • is always connected across a device (in parallel).• has a very high resistance so that it takes very littlecurrent from the device whose potential differenceis being measured.• an ideal voltmeter would have infinite resistancewith no current passing through it and no energywould be dissipated in it.
54 A potential divider Potential divider equation In electronic systems, it is often necessary to obtain smallervoltages from larger voltages for the various electroniccircuits. A potential divider is a device that produces therequired voltage for a component from a larger voltage.It consists of a series of resistors or a rheostat (variableresistor) connected in series in a circuit.Potential divider equation
55 example: In the potential divider shown, calculate: (a) the total current in the circuit(b) the potential difference across each resistor(c) the voltmeter reading if it was connectedbetween terminals 2 and 6.The total resistance R = 12 Ω.I = V / R = 12 V / 12 Ω = 1 A(b) 6 x V = 12 V → V = 2 V (12 V is equally shared by each 2 Ω resistor.orV = IR = 1x2 = 2 V(c) R = 4 x 2 = 8 Ω (Between terminals 2 and 6 there are 4 resistors)potential difference between the terminals isV = IR = 1 x 8 = 8 V
56 PotentiometerBecause resistance is directly proportional to the length of a resistor, a variable resistor also known as a potentiometer or as a “pot” can also be used to control the potential difference across some device.Sliding contact A can connect anywhere from one end to the other of the resistor chain. This way it can control voltage across a device and therefore the current through it, from maximm down to zero.1. step is to do a circuit without device and then adjustpoint A in such a way that there is no current passing through potentiometer. Potential difference across potentiometer is 6 V.For some other battery point A would be somewhere else. If you include a lamp into circuit and the pointer is at A, potential difference across the lamp is zero. However, if the pointer is moved up to two-thirds the length of the potentiometer as in the figure, then the output voltage across the filament lamp would be⅔ × 6V = 4V.Pots have a rotating wheel mounted in plastic and they are commonly used as volume and tone controls in sound systems. They can be made from wire, metal oxides or carbon compounds.