Gujarati
2. Electric Potential and Capacitance
medium

If the capacity of a spherical conductor is $1$ picofarad, then its diameter, would be

A

$1.8 \times {10^{ - 3}}\,m$

B

$18 \times {10^{ - 3}}\,m$

C

$1.8 \times {10^{ - 5}}\,m$

D

$18 \times {10^{ - 7}}\,m$

Solution

(b) $C = 4\pi {\varepsilon _0}R$
$R = \frac{C}{{4\pi {\varepsilon _0}}} = 9 \times {10^9} \times {10^{ – 12}} = 9 \times {10^{ – 3}}\,m$
Diameter $= 2R = 2 \times 9 \times {10^{ – 3}}m$ = $18 \times {10^{ – 3}}\,m$

Standard 12
Physics

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