Question

A resistor of 10 \(\Omega\) is connected across a 12 V battery. What is the power dissipated in the resistor?

• A. 120 W
• B. 1.2 W
• C. 144 W
• D. 14.4 W

Hint:

Power dissipated in a resistor can be calculated using \(P = \frac{V^2}{R}\) or \(P = I^2 R\).

Answer 1

The Correct Option is D

Solution: To determine the power dissipated in the resistor, we will use the formula for electrical power: \( P = \frac{V^2}{R} \), where \( P \) is the power in watts, \( V \) is the voltage across the resistor in volts, and \( R \) is the resistance in ohms.

Given:

• \( V = 12 \, \text{V} \)
• \( R = 10 \, \Omega \)

Substitute the given values into the formula:

\( P = \frac{12^2}{10} \)

\( P = \frac{144}{10} \)

\( P = 14.4 \, \text{W} \)

Therefore, the power dissipated in the resistor is 14.4 W.