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TS EAMCET · Physics · Electromagnetic Waves

If the rate of change in electric flux between the plates of a capacitor is \(9 \pi \times 10^3 \mathrm{Vms}^{-1}\), then the displacement current inside the capacitor is

  1. A \(0.36 \mu \mathrm{~A}\)
  2. B \(0.25 \mu \mathrm{~A}\)
  3. C \(3.14 \mu \mathrm{~A}\)
  4. D \(4 \mu \mathrm{~A}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.25 \mu \mathrm{~A}\)

Step-by-step Solution

Detailed explanation

\(I_d = \epsilon_0 \frac{d\Phi_E}{dt}\) \(I_d = (8.854 \times 10^{-12} \mathrm{F/m}) \times (9 \pi \times 10^3 \mathrm{Vms^{-1}})\) \(I_d \approx 250.32 \times 10^{-9} \mathrm{A} \approx 0.25 \mu \mathrm{A}\)
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