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Unformatted text preview: Current, Resistance, Current, Resistance, and Circuits and Circuits Series and Parallel Circuits © RHJansen Equivalent Resistance The total resistance of two or more resistors in a part of a circuit or in the entire circuit. The value of one resistor that is equal to, and thus can replace, all the resistors you are evaluating. © RHJansen Series R S = S R i Parallel 1 R P = S 1 R i Example 1 Determine the equivalent resistance for the portion of the circuits shown. © RHJansen 2 Ω 4 Ω 2 Ω 4 Ω R S = ΣΡ ι 1 R P = Σ 1 Ρ ι R S = 2 + 4 = 6 Ω 1 R P = 1 2 + 1 4 = 3 4 R P = 4 3 = 1.33Ω Example 2 Example 3 For the circuit shown below determine: © RHJansen R 1 R 3 R 2 ε V I R ε 6 R 1 1 R 3 2 R 3 3 The values given in the table are the typical values given in a circuit problem. When you buy batteries in the store they are sold by their voltage. When you buy resistors they are sold with the resistance printed on them. The potential across a component and the current passing through a component is determined by circuit configuration. Example 3 For the circuit shown below determine: © RHJansen R 1 R 3 R 2 ε V I R ε 6 R 1 1 R 3 2 R 3 3 a. Determine the equivalent (total) resistance. The total resistance is placed on the row for the battery, since the battery has to push against the resistance of the entire circuit. R S = ΣΡ ι R S = 1+ 2 = 3 = 6 Ω 6 Example 3 For the circuit shown below determine: © RHJansen R 1 R 3 R 2 ε V I R ε 6 6 R 1 1 R 3 2 R 3 3 b. Determine the total current. The total current is produced by the battery. Use Ohm’s Law V = ΙΡ 6 ( 29 = Ι 6 ( 29 I = 1Α 1 Example 3 For the circuit shown below determine: © RHJansen R 1 R 3 R 2 ε V I R ε 6 1 6 R 1 1 R 3 2 R 3 3 c. What stays the same in a series circuit? There are no junctions The current must be the same everywhere in the circuit....
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This note was uploaded on 07/21/2009 for the course PHYSICS 7B taught by Professor Packard during the Spring '08 term at Berkeley.
 Spring '08
 Packard
 Physics, Current, Resistance

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