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Question

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor :
  1. decreases
  2. remains unchanged
  3. becomes infinite
  4. increases

A
decreases
B
increases
C
remains unchanged
D
becomes infinite
Solution
Verified by Toppr

  • Capacitance of parellel plate capacitor with a dielectric slab of thickness t inside is given by: C=Aϵ0(dt)+tK , where K is the dielectric constant.
  • When aluminium sheet of negligible thickness is inserted, then thickness of slab t0 and value of K for metal (conductor) will be
  • Therefore C=Aϵ0d
  • Hence, capacitance of capacitor will remains unchanged.
  • Option B is correct.

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