question 10 plz class 12 physics
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kvnmurty:
Anindya answered correctly.... with t = d/3, his answer was good. You didn't need to report it.
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The capacitance C of a parallel plate capacitor, with the area of the parallel plates being A and distance between them being d is:
C = ε A / d
where, ε = Permittivity of air or vacuum as is relevant.
If a dielectric slab of dielectric constant K, thickness d and cross section Area A is introduced in between the plates.
C = ε K A / d
If the thickness of the slab is only d/3, then there is air or vacuum in the gap of width 2d/3. Dielectric constant of air (vacuum) is 1. Then the capacitance C is given by:
C = ε A /[ (d/3)/K + (2d/3)/1 ]
C = ε 3K A / [d(1+ 2K) ]
C = ε A / d
where, ε = Permittivity of air or vacuum as is relevant.
If a dielectric slab of dielectric constant K, thickness d and cross section Area A is introduced in between the plates.
C = ε K A / d
If the thickness of the slab is only d/3, then there is air or vacuum in the gap of width 2d/3. Dielectric constant of air (vacuum) is 1. Then the capacitance C is given by:
C = ε A /[ (d/3)/K + (2d/3)/1 ]
C = ε 3K A / [d(1+ 2K) ]
:-)
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