An air parallel plate capactior has capacity C . When capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

Question

An air parallel plate capactior has capacity C . When capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is (A) 1 (B) 2 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

Capacity of air parallel plate capacitor C=(A ε0/d) Capacity of parallel plate capacitor when immersed in liquid and distance is doubled, is C'=(K A ε0/2 d) or 2 C =(K/2) C (∵ C=(A e0/d)) or K =4

Q. An air parallel plate capactior has capacity $C$ . When capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

1

2

3

4

Capacity of air parallel plate capacitor
$C = \frac{A ε _{0}}{d}$
Capacity of parallel plate capacitor when immersed in liquid and distance is doubled, is
$C^{'} = \frac{K A ε _{0}}{2 d}$
or $2 C = \frac{K}{2} C$
$(∵ C = \frac{A e _{0}}{d})$
or $K = 4$

Q. An air parallel plate capactior has capacity C . When capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

1

2

3

4

Capacity of air parallel plate capacitor C=dAε0​​ Capacity of parallel plate capacitor when immersed in liquid and distance is doubled, is C′=2dKAε0​​ or 2C=2K​C (∵C=dAe0​​) or K=4

Q. An air parallel plate capactior has capacity $C$ . When capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

Capacity of air parallel plate capacitor
$C = \frac{A ε _{0}}{d}$
Capacity of parallel plate capacitor when immersed in liquid and distance is doubled, is
$C^{'} = \frac{K A ε _{0}}{2 d}$
or $2 C = \frac{K}{2} C$
$(∵ C = \frac{A e _{0}}{d})$
or $K = 4$