Question

the electric field is 100v/m, at a distance of 20 cm from ghe centre of a dielectric sphere of radius 10cm . then E atree 3cm distance from the centre of sphere ?

Answer 1

Try this I think u will understand

Answer 2

Answer:

The electric field at 3 cm distance from the center is 120 v/m.

Explanation:

Given that,

Electric field $E=100\ v/m$

Distance $r= 20\ cm$

Radius $R=10\ cm$

Distance$r= 3\ cm$

The electric field is

Where, r > R

$E= \dfrac{kQ}{r^2}$

$100=\dfrac{kQ}{20\times10^{-2}}$

$kQ=100\times20\times\20\times10^{-4}$

$kQ=200\times10^{-2}$

The electric field at 3 cm distance from the center

Where, r < R

$E= \dfrac{kQr}{R^3}$

$E= \dfrac{400\times10^{-2}\times3\times10^{-2}}{10\times10\times10\times10^{-6}}$

$E= 120\ v/m$

Hence, The electric field at 3 cm distance from the center is 120 v/m.