An insulating sphere with a radius of 0.100 m has acharge of 0.980 nC uniformly

Question

An insulating sphere with a radius of 0.100 m has acharge of 0.980 nC uniformly distributed throughout itsvolume. The center of the sphere is a distance 0.295 m above a large uniform sheet that has a charge densityof - 7.95 nC/m2 Find the distance from the center of the sphere to thepoint inside the sphere at which the electric field iszero An insulating sphere with a radius of 0.100 m has acharge of 0.980 nC uniformly distributed throughout itsvolume. The center of the sphere is a distance 0.295 m above a large uniform sheet that has a charge densityof - 7.95 nC/m2 Find the distance from the center of the sphere to thepoint inside the sphere at which the electric field iszero Find the distance from the center of the sphere to thepoint inside the sphere at which the electric field iszero

Explanation / Answer

E field from sheet = /2 = 7.95 x 10-9 / 2 * 8.85 x 10-12 =    449 . E field in sphere = k qenc /r2          where qenc = density * r3 /R3   so .         E field insphere = k * r3 / R3r2   =   k r / R3 . The E field in the sphere must have the same magnitude as theE field from the sheet, so... .            449 = 8.99 x 109 * 0.980 x 10-9 *r / 0.1003    .        r =   0.0510 meters . The E field in the sphere must have the same magnitude as theE field from the sheet, so... .            449 = 8.99 x 109 * 0.980 x 10-9 *r / 0.1003    .        r =   0.0510 meters

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