The electric field on the surface of an irregularly shaped conductor varies from

Question

The electric field on the surface of an irregularly shaped conductor varies from 76.0 kN/C to 28.0 kN/C.

(a) Calculate the local surface charge density at the point on the surface where the radius of curvature of the surface is greatest.
nC/m2
(b) Calculate the local surface charge density at the point on the surface where the radius of curvature of the surface is smallest.
nC/m2

The electric field on the surface of an irregularly shaped conductor varies from 76.0 kN/C to 28.0 kN/C. (a) Calculate the local surface charge density at the point on the surface where the radius of curvature of the surface is greatest. nC/m2 (b) Calculate the local surface charge density at the point on the surface where the radius of curvature of the surface is smallest nC/m2

Explanation / Answer

a) E1 = 76 * 103 N/C, E2 = 28 * 103 N/C

surface charge density = e0 * E2

= 8.85 * 10-12 * 28 * 103

= 2.48 * 10-7 C/m2 = 248 nC/m2

b) surface charge density = e0 * E1

= 8.85 * 10-12 * 76 * 103

= 6.73 * 10-7 C/m2 = 673 nC/m2

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