Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30m. the electric field at a point p, which is 0.50m from the center of the sphere, is 17,000 N/C and is directed radially outward. What is the maximum magnitude of the electric field due to this sphere?

A) 25,000 N/C

B) 42,000 N/C

C) 36,000 N/C

D) 47,000 N/C

E) 30,000 N/C

The maximum magnitude of the electric field due to this sphere is 47200 N/C.

This value is near by option D.

Explanation:

Given that,

Radius of the sphere R= 0.30 m

Distance from the center of the sphere r= 0.50 m

Electric field = 17000 N/C

r > R and for this value of r,

We need to calculate the charge

Using formula of electric field

Put the value into the formula

The charge is positive as the field direction is radially outward.

For a non conducting sphere of radius R,

We need to calculate the maximum magnitude of the electric field due to this sphere

Using formula of electric field

Put the value into the formula

Hence, The maximum magnitude of the electric field due to this sphere is 47200 N/C.

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