Two uniformly charged non-conducting hemispherical shells each having uniform charge density σ and radius R form a complete sphere (not stuck together) and surround a concentric spherical conducting shell of radius R/2. If hemispherical parts are in equilibrium then minimum surface charge density of inner conducting shell is:
Text Solution
Verified by ExpertsThe correct answer is:
A

Let surface charge density on inner shell is σ 1
Due to inner sphere, field at A =
,
and electrostatic pressure at point A. = 
Net force one hemisphere = 
⇒
,
or σ 1 = – 2 σ
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