Question

Power of electric circuit is

• A. \( V.R \)
• B. \( V^2.R \)
• C. \( \frac{V^2}{R} \)
• D. \( V^2.R.I \)

Hint:

The power dissipated in an electrical circuit is inversely proportional to the resistance. As resistance increases, the power decreases for the same voltage.

Answer 1

The Correct Option is C

Step 1: Understanding the formula for power in an electric circuit.
The power in an electric circuit can be calculated using the formula: \[ P = \frac{V^2}{R} \] where \( V \) is the voltage across the resistor and \( R \) is the resistance of the circuit. This formula is derived from Ohm's law (\( V = IR \)) and the basic power formula (\( P = IV \)). By substituting \( I = \frac{V}{R} \), we get: \[ P = V \times \frac{V}{R} = \frac{V^2}{R} \] Step 2: Conclusion. Thus, the correct answer is \( \frac{V^2}{R} \).