Question

a spherical capacitor has an inner sphere radius 10cm and an outer sphere of radius 14cm. the outer sphere is earthed and the onner sphere is given a charge of 2.5

 . the space between the concentric spheres is filled with a liquid of dielectric constant 32. determine the capacitamce of the capacitor.

Answer 1

To be given in question

Inner radius(a)=10cm=0.10

meter

Outer radius (b)=14cm=0.14 meter

Charge(Q)=2.5c

$\epsilon_{r}=32$

To be asked in question

Capacitance of capacitor (C)=?

We know that ?

$C=\frac{4\pi\epsilon\epsilon_{r}(b-a)}{ab}\rightarrow(1)$

Put value in eqution (1)

$C=\frac{32\times(0.14-0.10)}{9 \times10^9 \times 0.10\times0.14}$

$C=1.01587\times10^{-8}F$

$C=101.58\times10^{-6}F$

$C=101.58\mu F$