Which one statement is correct ? A parallel plate air condenser i… - Vidyadip

MCQ

Which one statement is correct ? A parallel plate air condenser is connected with a battery. Its charge, potential, electric field and energy are ${Q_o},\;{V_o},\;{E_o}$ and ${U_o}$ respectively. In order to fill the complete space between the plates a dielectric slab is inserted, the battery is still connected. Now the corresponding values $Q,\;V,\;E$ and $U$ are in relation with the initially stated as

A
$Q > {Q_o}$
B
$U > {U_o}$
C
$E > {E_o}$
✓
Both $(a)$ and $(b)$

✓

Answer

Correct option: D.

Both $(a)$ and $(b)$

d
(d) Capacitance will be increased when a dielectric is introduced in the capacitor but potential difference will remain the same because battery is still connected. So according to $q = CV$, charge will increase i.e. $Q > {Q_0}$ and $U = \frac{1}{2}Q{V_0},\,{U_0} = \frac{1}{2}{Q_0}{V_0}$ $==>$ $Q > {Q_0}$ so $U > {U_0}$

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