An electrical apparatus is made to test an electrical hypothesis. However, the static electric fields within and surrounding the apparatus need to be known before the test can begin. The apparatus consists of an insulating sphere with a radius of 2.50 cm placed in the center of a conducting sphere of inner radius 5.00 cm and a thickness of 1.00 cm. If the charge density of the inner insulator is ρ=4.08 C/m^3 and the total charge on the outer conducting sphere is −10.0 C, determine the theoretical electric field magnitude and direction at the following points: a) A point 0.500 cm from the center of the apparatus. b) A point 3.00 cm from the center of the apparatus. c) A point 5.75 cm from the center of the apparatus. d) A point 7.00 cm from the center of the apparatus.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.