Question

Q1.If the capacitance of a spherical conductor is 4 μF, then radius of sphere will be

3.6 x 10³ m

4 x 10³ m

3.6 x 10¹ m

9 x 10³ m​

Answer 1

Step-by-step explanation:

Given:

The capacitance of a spherical conductor is 4 μF.

To find:

Radius of sphere ?

Calculation:

The general expression of the capacitance of an isolated sphere is as follows:

$C = 4\pi \epsilon_{0}(r)$

Here 'r' is radius of the sphere.

Now, putting the values in SI UNITS:

$\implies 4 \times {10}^{ - 6} = 4\pi \epsilon_{0}(r) </p><p>$

$\implies 4 \times {10}^{ - 6} = \dfrac{r}{9 \times {10}^{9} }$

$\implies r = 4 \times 9 \times {10}^{( 9 - 6)}$

$\implies r = 36\times {10}^{3}$

$\implies r = 3.6\times {10}^{ 4} \: m$

So, radius of sphere is 3.6 × 10⁴ metres.