Question

A solid nonconducting sphere of radiusRcarries a chargeQdistributed uniformly throughout itsvolume. At a certain distancer1(r1< R) from the center of the sphere, the electric field has magnitudeE.If the same chargeQwere distributed uniformly throughout a sphere of radius 2R, the magnitude of theelectric field at the same distancer1from the center would be equal to______

Answer 1

Answer:

$E' = \frac{1}{8} E$

Explanation:

Given data:

first case

Distance of electric field from center of sphere is r_1 <R

Electric field at r_1< R

$E = \frac{kQr_1}{R^3}$

second case

Distance of electric field from centre of sphere is r_1 < 2R

Electric field at r_1< 2R

$E' = \frac{kQr_1}{8R^3}$

so, we have

$E' = \frac{1}{8} E$