A capacitor of 2 μF is connected in a radio circuit. The source frequency is 1000 Hz. If the current through the capacitor branch…

Q: A capacitor of 2 μF is connected in a radio circuit. The source frequency is 1000 Hz. If the current through the capacitor branch is 2 mA then the voltage across the capacitor is

Sol: $\large V_c = I X_c = I \times \frac{1}{\omega C}$

$\large V_c = \frac{I}{2 \pi f C}$

$\large V_c = \frac{2 \times 10^{-3}}{2 \pi \times 10^3 \times 2 \times 10^{-6}}$

= 0.16 V