Physics Electrostatics Potential & Capacitance Electric Field and Potential,Defference,Energy and Dipole MCQ (Single Correct)

Find out electric field intensity due to uniformly charged solid non-conducting sphere of volume charge density ρ and radius R at following points:

(i) At a distance r from surface of sphere (inside)

(ii) At a distance r from the surface of sphere (outside)

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Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(i)

(ii)

Sol. (i)

Let us construct a Gaussian surface at distance r from surface of sphere inside it (as shown dotted in figure)

∴ r = R – x or x = R – r

Using Gauss law ;

∴ E. 4π x 2 =

∴ E = or E =

(ii)

Using Gauss law,

⇒ E.4π (R + r) 2 = ;

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