Question

1. a current of 2 a flows through two resistors connected in series: one is 3 ω and the other is 7 ω. what is the total power consumed by the circuit?

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1. in a parallel circuit, a 10 ω resistor has a current of 1.2 a flowing through it. how much power is dissipated by this resistor?

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1. a parallel circuit is powered by a 15 v battery. in one branch of the circuit, 0.5 a flows through a resistor. what is the power consumed by that branch of the circuit?

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1. a 24 v battery is connected in parallel to three resistors: 8 ω, 12 ω, and 24 ω. what is the power dissipated by the circuit?

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Explanation:

Problem 5

Step1: Find total series resistance

$R_{total} = 3\ \Omega + 7\ \Omega = 10\ \Omega$

Step2: Use power formula $P=I^2R$

$P = (2\ \text{A})^2 \times 10\ \Omega$

Step1: Use power formula $P=I^2R$

$P = (1.2\ \text{A})^2 \times 10\ \Omega$

Step1: Use power formula $P=VI$

$P = 15\ \text{V} \times 0.5\ \text{A}$

Answer:

40 W

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Problem 6