A sphere of radius R contains space charge density ρ(r)=A(R-r) for 0

Question

A sphere of radius R contains space charge density &rho;(r)=A(R-r) for 0<r<R. The charge on it is Q. Express A in terms of Q and R. Find the electric field inside and outside the sphere

Sher Mohammad · Answer

volume element, dv = 4*pi*r 2 *dr integration between 0 to R , &rho;(r)dv =Q Integration [4pi*r 2 *dr A(R-r)]= Q Integration [4pi*r 2 *dr A(R-r)]= Q/4pi AIntegration [r 2 R-r 3 )dr] = A = Q/4pi*Integration [r 2 R-r 3 )dr] sher mohammad faculty askiitians b.tech, iit delhi

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A sphere of radius R contains space charge density ρ(r)=A(R-r) for 0 Express A in terms of Q and R. Find the electric field inside and outside the sphere

A sphere of radius R contains space charge density ρ(r)=A(R-r) for 0
Express A in terms of Q and R.

Find the electric field inside and outside the sphere

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A sphere of radius R contains space charge density ρ(r)=A(R-r) for 0 Express A in terms of Q and R. Find the electric field inside and outside the sphere

A sphere of radius R contains space charge density ρ(r)=A(R-r) for 0 Express A in terms of Q and R. Find the electric field inside and outside the sphere

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A sphere of radius R contains space charge density ρ(r)=A(R-r) for 0
Express A in terms of Q and R.

Find the electric field inside and outside the sphere