2. Electric Potential and Capacitance
medium

$6\,mm$ બે પ્લેટ વચ્ચેનું અંતર ધરાવતા $15 \,\mu F$ કેપેસિટરમાં $3\,mm$ જાડાઇનું ધાતુની પ્લેટ દાખલ કરતાં નવો કેપેસિટન્સ કેટલા .......$\mu F$ થાય?

A

$5$

B

$7.5$

C

$22.5$

D

$30$

Solution

(d) By using ${C_{air}} = \frac{{{\varepsilon _0}A}}{d},$ ${C_{medium}} = \frac{{{\varepsilon _0}A}}{{d – t + \frac{t}{K}}}$
For $K = \infty$   ${C_{medium}} = \frac{{{\varepsilon _0}A}}{{d – t}}$
$==>$ $\frac{{{C_m}}}{{{C_a}}} = \frac{d}{{d – t}}$ $==>$ $\frac{{{C_m}}}{{15}} = \frac{6}{{6 – 3}}$ $==>$ ${C_m} = 30\,\mu \,C$

Standard 12
Physics

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