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Using Gauss's law derive an expression for the electric field at any point outside a uniformaly charged thin spherical shell of radius R and charge density sigma C//m^(2) . Draw the field lines when the charges density of the sphere is (i) positive (ii) negative. (b) A uniformly charged conducting sphere of 2.5 m in diameter has a surface charge density of100 mu C //m^(2)Calculate the (i) charge on the sphere (ii) total electric flux passing through the sphere. |
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Answer» Solution :As diameter D = 2.5 m , HENCE radius R = ` (D)/( 2) = 1.25 m ` (i) ` therefore ` Total CHARGE on the sphere `Q= sigma . 4 pi R^(2)=(100 muC// m^(2)) xx 4 pi xx ( 1.25) ^(2)m^(2)= 1.96 xx 10 ^(3)C ` (II)Total electric FLUX through the sphere ` "" phi_in =(1)/( in_0) ,(Q) =( 1.96 xx 10 ^(-3))/( 8.85 xx 10 ^(-12))= 2.2 xx 10 ^(8)V. m ` |
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