The distance between the plates of a parallel plate condenser is … - Vidyadip

MCQ

The distance between the plates of a parallel plate condenser is $\,4mm$ and potential difference is $60\;volts$. If the distance between the plates is increased to $12\,mm$, then

✓
The potential difference of the condenser will become $180\;volts$
B
The $P.D.$ will become $20\;volts$
C
The $P.D.$ will remain unchanged
D
The charge on condenser will reduce to one third

✓

Answer

Correct option: A.

The potential difference of the condenser will become $180\;volts$

a
(a) For capacitor $\frac{{{V_1}}}{{{V_2}}} = \frac{{{d_1}}}{{{d_2}}}$ $==>$ ${V_2} = \frac{{{V_1} \times {d_2}}}{{{d_1}}} = \frac{{60 \times 12}}{4} = 180\,V$

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