The capacitance of a spherical conductor of radius 1 m is

Question

The capacitance of a spherical conductor of radius 1 m is (A) 9 × 10-9 F (B) 10 μ F (C) 1.1 × 10-10 F (D) 1 × 10-6 F

Tardigrade Admin · Accepted Answer

The capacitance of a spherical conductor of radius R is C=4πε0R or C=(R/(1)4πε0) Here, R=1 m, (1/4πε0)=9 × 109 N m2 C-2 ∴ C=(1/9 ×109)=0.11×10-9 F =1.1 ×10-10 F

Q. The capacitance of a spherical conductor of radius $1 m$ is

$9 \times 1 0^{- 9} F$

$10 μ F$

$1.1 \times 1 0^{- 10} F$

$1 \times 1 0^{- 6} F$

The capacitance of a spherical conductor of radius $R$ is
$C = 4 π ε_{0} R$ or $C = \frac{R}{\frac{1}{4 π ε _{0}}}$
Here, $R = 1 m$ , $\frac{1}{4 π ε _{0}} = 9 \times 1 0^{9} N m^{2} C^{- 2}$
$∴ C = \frac{1}{9 \times 1 0 ^{9}} = 0.11 \times 1 0^{- 9} F$
$= 1.1 \times 1 0^{- 10} F$

Q. The capacitance of a spherical conductor of radius 1m is

9×10−9F

10μF

1.1×10−10F

1×10−6F