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Question: The plates of parallel plate capacitor are charged upto100 V. A1.6 mm. The dielectric constant of th...

The plates of parallel plate capacitor are charged upto100 V. A1.6 mm. The dielectric constant of the plate is

A

5

B

1.25

C

4

D

2.5

Answer

5

Explanation

Solution

In air the potential difference between the plates

..... (i)

In the presence of partially filled medium potential difference between the plates

Vm=σε0(dt+tK)V _ { m } = \frac { \sigma } { \varepsilon _ { 0 } } \left( d - t + \frac { t } { K } \right) ..... (ii)

Potential difference between the plates with dielectric medium and increased distance is

..... (iii)

According to question which gives

K=ttdK = \frac { t } { t - d ^ { \prime } }

Hence K=221.6=5K = \frac { 2 } { 2 - 1.6 } = 5