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2. Electric Potential and Capacitance
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Two dielectric slabs of constant ${K_1}$ and ${K_2}$ have been filled in between the plates of a capacitor as shown below. What will be the capacitance of the capacitor

A
$\frac{{2{\varepsilon _0}A}}{2}({K_1} + {K_2})$
B
$\frac{{2{\varepsilon _0}A}}{2}\left( {\frac{{{K_1} + {K_2}}}{{{K_1} \times {K_2}}}} \right)$
C
$\frac{{2{\varepsilon _0}A}}{2}\left( {\frac{{{K_1} \times {K_2}}}{{{K_1} + {K_2}}}} \right)$
D
$\frac{{2{\varepsilon _0}A}}{d}\left( {\frac{{{K_1} \times {K_2}}}{{{K_1} + {K_2}}}} \right)$
Solution
(d) The two capacitors formed by the slabs may assumed to be in series combination.
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 | $(iv)$ $\frac{{4\pi { \in _0}{r_1}{r_2}}}{{{r_2} – {r_1}}}$ |
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