Ampere's Law and Displacement Current: Practice Problem & Solution
The potential difference between the plates of a parallel plate capacitor is changing at the rate of \(10^6\text{ V/s}\). If the capacitance is \(2\ \mu\text{F}\), the displacement current in the dielectric of the capacitor will be:
Solution Explained:
To solve this problem, we apply the core principles of Ampere's Law and Displacement Current. Understanding the underlying formula is key to arriving at the correct answer below:
Displacement current is given by \(I_d = C \frac{dV}{dt}\). Substituting \(C = 2 \times 10^{-6}\text{ F}\) and \(\frac{dV}{dt} = 10^6\text{ V/s}\), we find \(I_d = 2\text{ A}\).
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