Question

In an a.c. circuit, voltage and current are given by: \[ V = 100 \sin(100t) \, \text{V} \quad \text{and} \quad I = 100 \sin\left(100t + \frac{\pi}{3}\right) \, \text{mA}. \] The average power dissipated in one cycle is:

• A. \( 10 \, \text{W} \)
• B. \( 2.5 \, \text{W} \)
• C. \( 25 \, \text{W} \)
• D. \( 5 \, \text{W} \)

Hint:

In AC circuits, the average power depends on the product of the rms values of voltage and current and the cosine of the phase angle. Always ensure consistent units and correct trigonometric values for accurate results.