A spherical shell of radius R with a uniform charge q has point charge q 0 at its center. Find the work performed by the electric forces during the shell expansion slowly from radius R to 2R. Also find out work done by external agent against electric forces.
Text Solution
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CHECK THE SOLUTION.
W el = 
, W ext = – 
Sol. Work done by electric force = – [change in potential energy of the system]
⇒ W ele = – Δ P.E = – [(P.E) final – (P.E) initial ]
W ele = – 
W ele = 
or W ele = 
(ii) Work done by external agent against electric forces = Δ P.E
⇒ ∴ W ext = – W ele
or W ext = – 
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