After charging a capacitor the battery is removed. Now by placing a dielectric slab between the plates :-
The potential difference between the plates and the energy stored will decrease but the charge on plates will remain same
the charge on the plates will decrease and the potential difference between the plates will increase
the potential difference between the plates will increase and energy stored will decrease but the charge on the plates will remain same
the potential difference, energy stored and the charge will remain unchanged.
A parallel plate condenser with oil between the plates (dielectric constant of oil $K = 2$) has a capacitance $C$. If the oil is removed, then capacitance of the capacitor becomes
The energy and capacity of a charged parallel plate capacitor are $U$ and $C$ respectively. Now a dielectric slab of $\in _r = 6$ is inserted in it then energy and capacity becomes (Assume charge on plates remains constant)
A capacitor is connected to a $10\,V$ battery. The charge on the plates is $10\,\mu C$ when medium between plates is air. The charge on the plates become $100\,\mu C$ when space between plates is filled with oil. The dielectric constant of oil is
If the distance between parallel plates of a capacitor is halved and dielectric constant is doubled then the capacitance will become
Match the pairs
Capacitor | Capacitance |
$(A)$ Cylindrical capacitor | $(i)$ ${4\pi { \in _0}R}$ |
$(B)$ Spherical capacitor | $(ii)$ $\frac{{KA{ \in _0}}}{d}$ |
$(C)$ Parallel plate capacitor having dielectric between its plates | $(iii)$ $\frac{{2\pi{ \in _0}\ell }}{{ln\left( {{r_2}/{r_1}} \right)}}$ |
$(D)$ Isolated spherical conductor | $(iv)$ $\frac{{4\pi { \in _0}{r_1}{r_2}}}{{{r_2} - {r_1}}}$ |