Explanation Given: The potential drop is V = 12.0 V . Formula used: The expression for equivalent resistance in parallel connected resistance is given by, 1 R eq,1 = 1 R 6 + 1 R 2 The total equivalent resistance of the circuit is, R eq = R 3 + R eq,1 The expression for current i 3 is given by, i 3 = V R 3 The expression for current i 6 is given by, i 6 = V − ( i 3 ) ( R 3 ) R 6 The expression for current i 2 is given by, i 2 = V − ( i 3 ) ( R 3 ) R 2 Calculation: The equivalent resistance in parallel connected resistance is calculated as, 1 R eq,1 = 1 R 6 + 1 R 2 = 1 6 Ω + 1 2 Ω = 1.50 Ω The total equivalent resistance of the circuit is calculated as, R eq = R 3 + R eq,1 = 3 Ω + 1.50 Ω = 4.50 The current in resistor 3 Ω is calculated as, i 3 = V R 3 = 12

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Author: Tipler

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Chapter 25, Problem 70P

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The current in each resistor.

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Chapter 25, Problem 69P

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Solution Summary: The author explains the current in each resistor. The expression for equivalent resistance in parallel connected resistance is given by, i_3.

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