Electric Currents & Circuits

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Presentation transcript:

Electric Currents & Circuits Chapter 19: Electric Currents & Circuits Chapter 25 opener. The glow of the thin wire filament of a light bulb is caused by the electric current passing through it. Electric energy is transformed to thermal energy (via collisions between moving electrons and atoms of the wire), which causes the wire’s temperature to become so high that it glows. Electric current and electric power in electric circuits are of basic importance in everyday life. We examine both dc and ac in this Chapter, and include the microscopic analysis of electric current.

Ohm’s “Law” Chapter Outline Electric Current The Electric Battery Electric Current Ohm’s “Law” Resistance, Resistors, Resistivity Electric Power. Power in Household Circuits Alternating Current Microscopic View of Electric Current: Current Density & Drift Velocity Superconductivity?? Electrical Conduction in the Nervous System??

This is a simple Electric Cell. The Electric Battery Volta’s Original Electric Cell In 1801, Alessandro Volta discovered that electricity could be created if dissimilar metals were connected by a conductive solution called an electrolyte. This is a simple Electric Cell. Figure 25-3. Simple electric cell.

The Electric Battery Electric Cell Schematic of a modern Figure 25-3. Simple electric cell. Schematic of a modern Electric Cell

Count Alessandro Giuseppe Antonio Anastasio Volta Alessandro Volta February 18, 1745 - March 5, 1827 Alessandro Volta (1745 – 1827). Italian Physicist Known for pioneering work in electricity. Born in Como & educated in public schools. By 1800, he had developed the so called voltaic pile, a forerunner of the electric battery, which produced a steady “stream” of electricity.

Alessandro Volta Emperor Napoleon February 18, 1745 – March 5, 1827 Volta demonstrating a battery to Emperor Napoleon For his work in electricity, the SI electrical unit known as the volt was named in his honor. Also to honor him for this work, Napoleon made him a Count in 1801.

Luigi Galvani: (Sept. 9, 1737 - Dec. 4, 1798) Italian physiologist, anatomist, biologist. A founder of electrochemistry. Should be called a founder of biophysics also. Educated & taught in Bologna. Made early discoveries that advanced the study of electricity. His work with frogs led to his 1781discovery of galvanic or voltaic electricity.

Luigi Galvani: Experiments on frog legs! He made the muscles of a dead frog twitch when he touched them with different metals carrying current from an electric generator. He incorrectly thought fluid in the frog's body was the electric source. Later, Volta proved that the source of the electricity was a reaction caused by the animal's body fluids being touched by two different types of metal.

Common Household Battery Through chemical reactions, a battery transforms it’s internal chemical energy into Electrical Energy. The chemical reactions within the cell create a Potential Difference between the terminals by slowly dissolving them. This can be maintained even if a current is kept flowing, until one or the other terminal is completely dissolved. Common Household Battery Technically, several cells connected together make a battery. Modern usage is to refer to a single cell as a battery also.

Average Electric Current Assume charges are moving perpendicular to a surface of area A. If Q is the amount of charge that passes through A in time t, the average current is: Notation in our book is:

The SI unit of electric current is Electric Current is the rate of flow of charge through a conductor. Average Current: Instantaneous Current is denoted as:: The SI unit of electric current is The Ampère, A: 1 A = 1 C/s.

André-Marie Ampère Formulated a law of electromagnetism, called Jan. 22, 1775 - June 10, 1836 French physicist. Founder of Electromagnetism. A prodigy who mastered all known mathematics by age 12! Professor of physics, chemistry, & mathematics. Formulated a law of electromagnetism, called Ampère's Law, that describes the magnetic force between two electric currents. An instrument he devised to measure the flow of electricity was later refined as the galvanometer.

Memoir on Mathematical Theory of Electrodynamic Phenomena André-Marie Ampère Jan. 22, 1775 - June 10, 1836 Ampère's Law describes the magnetic force between two electric currents.(Later) Chief published work: (1827): Memoir on Mathematical Theory of Electrodynamic Phenomena The SI unit of electric current, the Ampere (A) is named for him.

A complete circuit is one where current can flow all the way around. Note that the schematic drawing doesn’t look much like the physical circuit! Figure 25-6. (a) A simple electric circuit. (b) Schematic drawing of the same circuit, consisting of a battery, connecting wires (thick gray lines), and a lightbulb or other device.

Example: Current - The Flow of Charge. A steady current of 2.5 A exists in a wire for 4.0 min. (a) Calculate the total charge which passes by a given point in the circuit during those 4.0 min. (b) How many electrons is this? Solution: a. Charge = current x time; convert minutes to seconds. Q = 600 C. b. Divide by electron charge: n = 3.8 x 1021 electrons.

Example: Current - The Flow of Charge. A steady current of 2.5 A exists in a wire for 4.0 min. (a) Calculate the total charge which passes by a given point in the circuit during those 4.0 min. (b) How many electrons is this? ΔQ = IΔt ΔQ = (2.5 C/s)(240 s) ΔQ = 600 C Solution: a. Charge = current x time; convert minutes to seconds. Q = 600 C. b. Divide by electron charge: n = 3.8 x 1021 electrons.

Example: Current - The Flow of Charge. A steady current of 2.5 A exists in a wire for 4.0 min. (a) Calculate the total charge which passes by a given point in the circuit during those 4.0 min. (b) How many electrons is this? ΔQ = IΔt ΔQ = (2.5 C/s)(240 s) ΔQ = 600 C ΔQ = 3.8  1021 electrons Solution: a. Charge = current x time; convert minutes to seconds. Q = 600 C. b. Divide by electron charge: n = 3.8 x 1021 electrons.

How to connect a battery. Conceptual Example How to connect a battery. What is wrong with each of the schemes shown for lighting a flashlight bulb with a flashlight battery and a single wire? Solution: a. Not a complete circuit. b. Circuit does not include both terminals of battery (so no potential difference, and no current) c. This will work. Just make sure the wire at the top touches only the bulb and not the battery!

By convention, current is DEFINED as flowing from + to -. Electrons actually flow in the opposite direction, but not all currents consist of electrons. Figure 25-8. Conventional current from + to - is equivalent to a negative electron flow from – to +.