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As You Come In… A negative charge is to be placed between a -3.0 C charge and a +8.0 C. Where can the charge be placed, if anywhere, such that it will not move from where it is set?

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Challenge: Four-Body Charge Problem Four charges are placed at the corners of a square with sides of 5.0 mm. The top left and bottom right charges have a charge of +3.0 C. What would the charge at the bottom left corner of the square need to be such that the top right charge does not move away? q 1 = +3.0 C q 4 = +3.0 Cq 3 = ? q2q2 x y

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Challenge: Four-Body Charge Problem Four charges are placed at the corners of a square with sides of 5.0 mm. The top left and bottom right charges have a charge of +3.0 C. What would the charge at the bottom left corner of the square need to be such that the top right charge does not move away? q 1 = +3.0 C q 4 = +3.0 Cq 3 = ? q2q2 x y Σ F E = 0 N F E1 F E4 + F E3

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Challenge: Four-Body Charge Problem Four charges are placed at the corners of a square with sides of 5.0 mm. The top left and bottom right charges have a charge of +3.0 C. What would the charge at the bottom left corner of the square need to be such that the top right charge does not move away? q 1 = +3.0 C q 4 = +3.0 Cq 3 = ? q2q2 x y Σ F E = 0 N F E1 F E4 - F E3

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Challenge: Four-Body Charge Problem Four charges are placed at the corners of a square with sides of 5.0 mm. The top left and bottom right charges have a charge of +3.0 C. What would the charge at the bottom left corner of the square need to be such that the top right charge does not move away? q 1 = +3.0 C q 4 = +3.0 Cq 3 = -?? C r 1 = 0.0050 m r 4 = 0.0050 m r 3 = 0.0071 m q2q2 x y

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Challenge: Four-Body Charge Problem Four charges are placed at the corners of a square with sides of 5.0 mm. The top left and bottom right charges have a charge of +3.0 C. What would the charge at the bottom left corner of the square need to be such that the top right charge does not move away? Did you get -8.5 Coulombs? q 1 = +3.0 C q 4 = +3.0 Cq 3 = -8.5 C r 1 = 0.0050 m r 4 = 0.0050 m r 3 = 0.0071 m q2q2 x y

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Issues With An “N-Charge” Body Problem Impractical to work with discrete amounts of charge Also impractical to have stationary charges Problem: charge math is hard Potential solution: “charge flow” Image courtesy of: http://3.bp.blogspot.com/-cjI-QhJpNyM/UnaY61kerSI/AAAAAAAAAOI/tprzGJBcn6I/s1600/Screen+Shot+2013-11-03+at+1.41.21+PM.png

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As You Come In… Think about what is needed in order for an electrical device to work. Write as many concepts or ideas as you know about the topic.

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“Charge Flow” Animated gif courtesy of: http://www.williamson-labs.com/images/aa-dc-280.gif

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Current André-Marie Ampère Image courtesy of http://bildbasis.de/images/large/000204.jpg

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Current and Electrons Recall the charge of an electron q e = 1.602 × 10 -19 C This means one electron (1 e - ) has 1.602 × 10 -19 C of charge How many electrons would there be in 1 C of charge? #e - = 6.24 × 10 18 electrons 1 Ampere: 6.24 × 10 18 electrons passing through a point per second

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Introduction to Circuits Flowing electrons (current) are EXTREMELY useful to humans Take the form of a circuit Electrical circuit: closed path through which electrical current flows from a voltage source Useful Concepts: Current Voltage Sources And a whole lot more! Stay tuned!

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Power Image obtained from: http://teacherweb.com/WQ/HighSchool/Steam_Engine/JamesWatt.jpg James Watt

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Power Within A Circuit Power = Voltage times Current

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Using Power A light bulb is put into a circuit that is connected to a standard U.S. electrical socket. If 1.25 A of current is running through the light bulb, what is the wattage of the light bulb? P = V I

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Using Power What amount of current is running through a night-light with a 40 W incandescent light bulb? P = V I

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Resistance Image obtained from: https://learn.sparkfun.com/tutorials/voltage-current-resistance-and-ohms-law Georg Ohm

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Resistance Image obtained from: https://learn.sparkfun.com/tutorials/voltage-current-resistance-and-ohms-law Georg Ohm

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Using Resistance A simple circuit consists of an electrical appliance that is connected to a standard U.S. wall socket and has 10.0 mA of current running through it. What would the resistance of the electrical appliance be?

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Using Resistance A simple circuit consisting of a 1.5 V battery and a 5.0 Ω resistor. What is the amount of current that is running through the resistor?

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Resistance & Power What is the resistance of the tungsten filament in a 60 W light bulb plugged into your wall at home? P = V I

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Capacitance

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Image obtained from: http://en.wikipedia.org/wiki/Michael_Faraday#mediaviewer/File:Faraday-Millikan-Gale-1913.jpg Michael Faraday

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Using Capacitance A simple circuit containing a 9.0 V battery also contains a capacitor. What is its capacitance if 6.0 µC of charge can be stored within it?

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Using Capacitance A simple circuit consisting of a 1.5 V battery and a 5.0 nF capacitor is setup. How many electrons are stored within the plates of the capacitor? q e = -1.602 × 10 -19 C

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Any path along which electrons can flow is a circuit.

Any path along which electrons can flow is a circuit.

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