Question

Displacement current inside a capacitor of capacitance \(6\,\mu F\) is \(4\,A\). Find the rate of change of voltage across the capacitor.

• A. \(6.6\times10^5\)
• B. \(5.2\times10^5\)
• C. \(1.3\times10^6\)
• D. \(2.4\times10^6\)

Answer 1

The Correct Option is A

Concept: Displacement current in a capacitor is given by \[ i_d = C\frac{dV}{dt} \] Step 1: Substitute values \[ i_d = 4\ \text{A} \] \[ C = 6\,\mu F = 6\times10^{-6}\ F \] \[ 4 = 6\times10^{-6}\left(\frac{dV}{dt}\right) \] Step 2: Solve \[ \frac{dV}{dt} = \frac{4}{6\times10^{-6}} \] \[ \frac{dV}{dt} = 6.6\times10^5\ \text{V/s} \]