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2. Electric Potential and Capacitance
easy
The capacity of a condenser in which a dielectric of dielectric constant $5$ has been used, is $C$. If the dielectric is replaced by another with dielectric constant $20$, the capacity will become
A
$\frac{C}{4}$
B
$4C$
C
$\frac{C}{2}$
D
$2C$
Solution
(b) $C = \frac{{K{\varepsilon _0}A}}{d};$
$\frac{{{C_1}}}{{{C_2}}} = \frac{{{K_1}}}{{{K_2}}}$ $==>$ $\frac{C}{{{C_2}}} = \frac{5}{{20}} ⇒ C_2 = 4\,C$
Standard 12
Physics
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