First slide

Capacitance

Question

Two metal plates form a parallel plate condenser. The distance between the plates is d. A metal plate of thickness d/2 and of the same area is inserted completely between the plates. The ratio of capacitances in the two cases (later to initial) is :

Easy

A

2 : 1
B

1 : 2
C

1 : 1
D

1 : 4

Solution

$C = \frac{{Aε}_{0}}{d}, C' = \frac{\frac{{Aε}_{0}}{d}}{2} = \frac{2 {Aε}_{0}}{d} \Rightarrow \frac{C'}{C} = \frac{2}{1}$

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