Question

A circuit has a voltage source producing V=12 V and a resistor with R 82. If the circuit contains nothing else, how much power is dissipated by the resistor?

a) 18 W
b) 9 W
c) 6 W
d) 4.5 W

Answer 1

Using the power formula P = V^2 / R with V = 12 V and R = 82 ohms, the power dissipated by the resistor is approximately 1.76 W, which does not match any of the options given.

Step-by-step explanation:

To calculate the power dissipated by the resistor in the given circuit with a voltage source of 12 V and a resistor of 82 ohms (notated as R = 82 Ω), we use the power formula related to Ohm's Law:

P = V^2 / R, where P is the power in watts, V is the voltage in volts, and R is the resistance in ohms.

Substituting the given values into the formula, we have:

P = 12^2 / 82 ≈ 1.76 W.

This means the nearest answer choice that is accurate would be:

b) 1.76 W (but none of the given options is correct).