Question

The electric field in a region is radially outward and at a point is given by E=250V/m.Calculate the charge contain in a sphere of radius 20 cm centred at origin

Answer 1

Charge, $q=1.12\times 10^{-9}\ C$

Explanation:

It is given that,

Electric field, E = 250 V/m

Radius of sphere, r = 20 cm = 0.2 m

We know that the region around the static charge particle is called electric field. The formula for electric field is given by :

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

Where

q is the charge contained in a sphere

$q=\dfrac{Er^2}{k}$

$q=\dfrac{250\times (0.2)^2}{9\times 10^9}$

$q=1.12\times 10^{-9}\ C$

So, the charge contained in a sphere is $1.12\times 10^{-9}\ C$. Hence, this is the required solution.

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Electric field

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