Moderate

In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. The thickness of the sheet is half of the separation between the plates. The capacitance now becomes:

Correct answer: B. 2C

  • A. 4C
  • B. 2C
  • C. C/2
  • D. C/4

Explanation

Before the metal sheet is inserted, C = εo A/d After the sheet is inserted, the system is equivalent to two capacitors in series, each of capacitance: C'= ε0A/d/4 = 4C The equivalent capacity is now 2C.

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