Q.) A solid metal sphere with radius 0.450 m carries anet charge of 0.260 nC. a.

Question

Q.) A solid metal sphere with radius 0.450 m carries anet charge of 0.260 nC. a.) Find the magnitude of the electric field at a point0.250 m outside the surface of the sphere. b.) Find the magnitude of the electric field at a point insidethe sphere, 0.100 m below the surface. Q.) A solid metal sphere with radius 0.450 m carries anet charge of 0.260 nC. a.) Find the magnitude of the electric field at a point0.250 m outside the surface of the sphere. b.) Find the magnitude of the electric field at a point insidethe sphere, 0.100 m below the surface.

Explanation / Answer

   radius, r = 0.45 m    charge, q = 0.26 nc = 0.26 X 10-9 C (a)   Electric field outside the sphere, E = (1/4o) ( q / a 2)   (where a = distance from the centre )                                        Here,a = 0.45 + 0.25 = 0.7 m       E = ( 9 X 10 9) (  0.26 X 10 -9 / 0.49 ) = 4.78 N/C (b)   Electric field inside the sphere = 0 ( Noelectric field exists inside the sphere )

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