Which one of the following graphs represents the variation of electric field with distance r from the center of a charged spherical conductor of radius R?

Question

Which one of the following graphs represents the variation of electric field with distance r from the center of a charged spherical conductor of radius R? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Electric field due to a hollow spherical conductor is governed by the following equation

E = 0

for

r < R \dots

(i)
and

E = \frac{Q}{4 π ε _{0} r ^{2}}

for

r \geq R

ie, inside the conductor field will be zero and outside the conductor field will vary according to

E \propto \frac{1}{r ^{2}}

Q. Which one of the following graphs represents the variation of electric field with distance r from the center of a charged spherical conductor of radius R?

Electric field due to a hollow spherical conductor is governed by the following equation E=0 for r<R… (i) and E=4πε0​r2Q​ for r≥R ie, inside the conductor field will be zero and outside the conductor field will vary according to E∝r21​

Q. Which one of the following graphs represents the variation of electric field with distance $r$ from the center of a charged spherical conductor of radius $R$ ?