please answer the question mentioned above
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Answers
Answer:
answer for you by sherin
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Answer:
(A)Consider parallel plate capacitor is place in vacuum and permittivity of vacuum is given by ϵo
Then,
Electric fields between the plates of capacitor is given by,
E= ϵ o /σ = Aϵ o /Q
potential difference between the plates is given by,
V=Ed= Qd/Aϵ o
But,
Capacitance = C= Q/V
= ϵ o A/d
If we place dielectric medium in between the plates of capacitor then permittivity of medium increases and
it is denoted by ϵ m
Then new capacitance will be,
Capacitance = C= Q/V
= ϵ mA/d
(B)When a metallic plate of thickness t is inserted,
then electric field inside the plate will be zero-
=> E = E₀/k = 0
=> k = ∞
hence putting the value of k in the above equation we get,
C = ε₀A/(d - t)
which is the required expression for capacitance with metallic plate.
Hope it helps!