Gauss\' Law: A spherical shell of inner radius a and outer radius b carriesa cha

Question

Gauss' Law: A spherical shell of inner radius a and outer radius b carriesa charge Q distributed uni-formly throughout its volume. a) Is the sphere material conducting or insulating? Why? b) Calculate the electric field as a function of the radialcoordinant, r. A spherical shell of inner radius a and outer radius b carriesa charge Q distributed uni-formly throughout its volume. a) Is the sphere material conducting or insulating? Why? b) Calculate the electric field as a function of the radialcoordinant, r.

Explanation / Answer

a) The sphere is insulating because in conductors total chargeresides in the outer surface . Here as charge is uniformly distributed , so it will be aninsulator . b) Charge density() = charge /volume Volume =4(b3-a3)/3 Electric field at a distance less than a = 0 (As there is no chargeinside that ) For distance greater than b Electric field = Q/(4r2) For a

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