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The electric field at a distance of 0.145 m from the
Chapter 22, Problem 23E(choose chapter or problem)
The electric field at a distance of 0.145 m from the sur-face of a solid insulating sphere with radius 0.355 m is 1750 N/C. (a) Assuming the sphere’s charge is uniformly distributed, what is the charge density inside it? (b) Calculate the electric field inside the sphere at a distance of 0.200 m from the center.
Questions & Answers
QUESTION:
The electric field at a distance of 0.145 m from the sur-face of a solid insulating sphere with radius 0.355 m is 1750 N/C. (a) Assuming the sphere’s charge is uniformly distributed, what is the charge density inside it? (b) Calculate the electric field inside the sphere at a distance of 0.200 m from the center.
ANSWER:Solution 23E Step 1 of 4: If the charge is distributed uniformly in the sphere, the charge density is uniform inside the sphere, so the magnitude of the electric field is constant at any given distance from the centre. q According to Gauss law , = EA = E enc 0 2 q enc = EA =0E4r 0 = 1750 N/C × 4 × 3.14 × (0.500 m) × 8.854 × 10 12C /N.m 2 8 = 4.866 × 10 C