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TS EAMCET · Physics · Electromagnetic Waves

Consider a parallel plate capacitor which is maintained at potential \(200 \mathrm{~V}\). The separation distance between the plates of capacitor and the area of plates are \(1 \mathrm{~mm}\) and \(20 \mathrm{~cm}^2\), respectively. Calculate displacement current in \(1 \mu \mathrm{s}\).

  1. A \(3.5 \mathrm{~mA}\)
  2. B \(2.5 \mathrm{~mA}\)
  3. C \(1.5 \mathrm{~mA}\)
  4. D \(0.5 \mathrm{~mA}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3.5 \mathrm{~mA}\)

Step-by-step Solution

Detailed explanation

Displacement current, \(\begin{aligned} I_d & =\varepsilon_0 \frac{d \phi}{d t}=\varepsilon_0 \frac{\Delta \phi}{\Delta t} \\ & =\varepsilon_0 \frac{\Delta E A}{\Delta t} \quad(\because \phi=E \cdot A)\end{aligned}\)…
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