Chapter 24, Problem 066 Two isolated, concentric, conducting spherical shells ha

Question

Chapter 24, Problem 066 Two isolated, concentric, conducting spherical shells have radii R1 = 0.540 m and R2 = 1.00 m, uniform charges 91 = +3.70 uc and 92 = +3.90 C, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a) r 3.80 m, (b) r = 0.610 m, and (c) r = 0.270 m? with V-0 at infinity, what is vat (d) r= 3.80 m, (e) r= 1.00 m, (f) r-0.610 m, (g) r= 0.540 m, (h) r= 0.270 m, and (i) r= 0? (a) Number (b) Number (c) Number (d) Number (e) Number (f) Number (g) Number (h) Number (i) Number Units Units Units Units Units Units Units Units Units

Explanation / Answer

E = kq/r^2

a) E = 9 x10^9 (7.6 x 10^-6 ) / 3.80^2= 4.74 x 10 ^ 3 N/C

b) E = 9x 10^9 ( 3.70 x 10^-6)/ 0.610^2= 89.49 x 10^ 3 N/c
c)E = 0

V = kq/r

a) V = 9x 10^ 9 (7.6 x 10^-6 ) / 3.80 = 18 x 10^ 3 V

b)V = 9 x1 0^9 ( 3.70 x 10^-6 / 1 + 3.90 x 10^-6/1) = 68.4 x 10^3 V

c) V = 9x 10^9 ( 3.70 x 10^-6 /0.610 + 3.90 x 10^-6/1 ) = 89.69 x 10^ 3 V

d)V =9x 10^9 ( 3.70 x 10^-6 / 0.54 + 3.90 x 10^-6/1 ) = 96.76 x 10^ 3 V

e) V = 96.76 x 10^ 3 V

f)V = 96.76 x 10^ 3 V

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