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2. Electric Potential and Capacitance
easy
The distance between the plates of a parallel plate capacitor is $d$. A metal plate of thickness $d/2$ is placed between the plates. The capacitance would then be
A
Unchanged
B
Halved
C
Zero
D
Doubled
Solution
(d) $C = \frac{{{\varepsilon _0}A}}{{d – (d/2)}} = 2\frac{{{\varepsilon _0}A}}{d}$
Standard 12
Physics
Similar Questions
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 | $(iv)$ $\frac{{4\pi { \in _0}{r_1}{r_2}}}{{{r_2} – {r_1}}}$ |
medium