Home Physics Electrostatics Potential & Capacitance Electric Flux and Gauss's Law Two uniformly charged non-conducting hemisph…
Physics Electrostatics Potential & Capacitance Electric Flux and Gauss's Law MCQ (Single Correct)

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:

A
–2 σ
B
-σ/2
C
D
2 σ

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Text Solution

Verified by Experts
The 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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