Capacitance (in F) of a spherical conductor having radius 1 m, is :

Question

Capacitance (in F) of a spherical conductor having radius 1 m, is : (A) 1.1 × 10-10 (B) 10-6 (C) 9 × 10-9 (D) 10-3

Tardigrade Admin · Accepted Answer

Capacitance of spherical conductor =4 π ε0 a where, a is radius of conductor. Therefore, C =(1/9 × 109) × 1 =(1/9) × 10-9 =0.11 × 10-9 F =1.1 × 10-10 F

Q. Capacitance (in F) of a spherical conductor having radius $1 m$ , is :

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

$1 0^{- 6}$

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

$1 0^{- 3}$

Capacitance of spherical conductor $= 4 π ε_{0} a$
where, $a$ is radius of conductor.
Therefore,
$C = \frac{1}{9 \times 1 0 ^{9}} \times 1$
$= \frac{1}{9} \times 1 0^{- 9}$
$= 0.11 \times 1 0^{- 9} F$
$= 1.1 \times 1 0^{- 10} F$

Q. Capacitance (in F) of a spherical conductor having radius 1m, is :

1.1×10−10

10−6

9×10−9

10−3