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Understanding Electric Current and Resistance: A Comprehensive Guide

Learn about electric current, Ohm's Law, resistance, resistivity, and circuit elements in this detailed guide. Includes examples and key concepts for better understanding.

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Understanding Electric Current and Resistance: A Comprehensive Guide

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  1. II. Electric current 1. Definition Conventional current Electron flow Units:[ I ] = 1A = 1 C/s Example: 1020 electrons passed through the electric conductor during 4 seconds. Find the electric current through this conductor. Example: The electric current of 0.5 A is flowing through the electric conductor. a) What electric charge is passing through the conductor during each second? b) What electric charge will pass through the conductor during 1 minute? a) b)

  2. 2. Ohm’s Law Nonohmic device I I V V 3. Resistance Definition: Units:[ R ] = 1Ω = 1 V/A Ohm’s Law:

  3. 4. Resistivity Definition: I A L Example: What is the resistance of 1 m of nichrome wire of 2 mm diameter? Temperature dependence of resistivity T

  4. Example:Two cylindrical resistors, R1 and R2, are made of identical material. R2 has twice the length of R1 but half the radius of R1. They are connected to a battery V as shown. Compare the currents flowing through R1 and through R2. I2 I1 V C. I1 > I2 B. I1 = I2 A. I1 < I2

  5. 5a. Resistors in series Two resistors R1 and R2 are in series when they are connected one after the other I R1 R2 I Req V1 V2 V V

  6. 5b. Resistors in parallel Two resistors R1 and R2 are in parallel when they are connected to the same potential difference I1 R1 I Req I I I2 V R2

  7. Example: A 14-A current flows into a series combination of a 3.0-Ω and a 4.0-Ω resistors. What is the voltage drop across the 4.0-Ω resistor? A) 38 V; B) 42 V; C) 56 V ; D) 98 V. Example: A 22-A current flows into a parallel combination of 4.0 Ω, 6.0 Ω, and 12 Ω resistors. What current flows through the 12-Ω resistor? A) 18 A; B) 11 A; C) 7.3 A; D) 3.7 A.

  8. Symbols for circuit elements Conductor (wire) with negligible resistance Resistors - + Source of emf (for example, a battery) Switch Ground Voltmeter (should be connected in parallel) Ammeter (should be connected in series)

  9. A A G V A = B r R V G = 6a. Ammeter (used to measure current) r is small shunt resistance or shunt G is galvanometer • Ammeter should be connected in series • Ammeter has very small (ideally zero) internal resistance, so it does not affect the current to be measured 6b. Voltmeter(used to measure voltage or potential difference) R is large • Voltmeter should be connected in parallel • Voltmeter has very large (ideally infinite) internal resistance, so that very little current is diverted through it.

  10. 6c. Voltmeter and Ammeter • Voltmeter should be connected in parallel • Ammeter should be connected in series • Voltmeter has very large (ideally infinite) internal resistance • Ammeter has very small (ideally zero) internal resistance Example: What connection is not correct? A C B

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