A charged particle is suspended at the centre of two thin concentric spherical charged shells, made of non conducting material. Figure A shows cross section of the arrangement. Figure B gives the net flux φ φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere.
(i) What is the charge on the central particle?
Text Solution
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(i) φ = 
∴ = 2 × 10 5 × 8.85 × 10 –12 C = 1.77 µC
(ii) 
= – 4 × 10 5 ⇒ Q A = – 5.31 × 10
–6
(iii) For all values of r, flux φ φ is non-zero i.e. no Gaussian sphere of radius r is possible in which net enclosed charge is zero.
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