Question

find capacitance of a sphere having radius 4 metre​

Answer 1

Answer:

$\boxed{\mathfrak{Capacitance \ of \ sphere \ (C) = 0.4 \ nF}}$

Given:

Radius of sphere (r) = 4 m

Explanation:

Capacitance of isolated sphere is given as:

$\bf{C = 4\pi \epsilon_0 r}$

$\rm \implies C = \dfrac{1}{9 \times {10}^{9} } \times 4 \\ \\ \rm \implies C = 0.4 \times {10}^{ - 9} \: F \\ \\ \rm \implies C = 0.4 \: nF$

Answer 2

• Given ,

• The five identical capacitors having which capacitance 5 F are connected in series

• We know that , the equivalent capacitance in series combination is given by

$☂\boxed{ \tt{\frac{1}{C} = \frac{1}{C'} + \frac{1}{C''} + ...}}$

• Thus ,

• 1/C = 1/5 + 1/5 + 1/5 +1/5 + 1/5

• 1/C = (1 + 1 + 1 + 1 + 1)/5

• 1/C = 5/5

• C = 1 farad

• Hence , the equivalent capacitance is 1 farad