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PRACTICE / Displacement current

Follow changing flux across the gap

A fixed ideal parallel-plate capacitor has capacitance 2.0 μF. Its voltage rises at 3000 V/s.

Find the displacement-current magnitude through the gap.

Organize the givens & assumptions
  • C = 2.0 μF
  • dV/dt = 3000 V/s

Vacuum gap, negligible fringing and leakage, fixed plate geometry and quasistatic charging.

  1. A6000 A6000\ \mathrm A
  2. B0 A0\ \mathrm A
  3. C1.5×109 A1.5\times10^9\ \mathrm A
  4. D6.0 mA6.0\ \mathrm{mA}

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