Gujarati
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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