The electric field strength at a distance r from the centre of a charged sphere of radius r is E. If r R, how much work will be done in bringing a test charge q0 from infinity to that point?

Question

The electric field strength at a distance r from the centre of a charged sphere of radius r is E. If r > R, how much work will be done in bringing a test charge q0 from infinity to that point? (A) q0 R E (B) (1/2) q0 R E (C) q0 r E (D) (1/2) q0 r E

Tardigrade Admin · Accepted Answer

E=(V/r) or V=r E, U=q0 V=q0 r E

Q. The electric field strength at a distance $r$ from the centre of a charged sphere of radius $r$ is $E$ . If $r > R$ , how much work will be done in bringing a test charge $q_{0}$ from infinity to that point?

$q_{0} RE$

$\frac{1}{2} q_{0} RE$

$q_{0} r E$

$\frac{1}{2} q_{0} r E$

$E = \frac{V}{r}$
or $V = r E, U = q_{0} V = q_{0} r E$

Q. The electric field strength at a distance r from the centre of a charged sphere of radius r is E. If r>R, how much work will be done in bringing a test charge q0​ from infinity to that point?

q0​RE

21​q0​RE

q0​rE

21​q0​rE