A solid sphere of radius 40.0 cm has a total positive charge of40.0 µC uniformly

Question

A solid sphere of radius 40.0 cm has a total positive charge of40.0 µC uniformly distributedthroughout its volume. Calculate the magnitude of the electricfield at the following distances. (a) 0 cm from the center of the sphere
1 kN/C

(b) 10.0 cm from the center of the sphere
2 kN/C

(c) 40.0 cm from the center of the sphere
3 kN/C

(d) 60.0 cm from the center of the sphere
4 kN/C (a) 0 cm from the center of the sphere
1 kN/C

(b) 10.0 cm from the center of the sphere
2 kN/C

(c) 40.0 cm from the center of the sphere
3 kN/C

(d) 60.0 cm from the center of the sphere
4 kN/C

Explanation / Answer

radius R = 40 cm =0.4 m charge q = 40 * 10 ^ -6 C (a). electric field E = 0 (b). electric field E = Kqr / R ^ 3   where r = 10 cm = 0.1 m                             = 561875 N / C (c). electric field E = Kq / R ^ 2                              = 2247.5*10^3 N / C (d) electric field E = Kq / r ^ 2 where   r =60 cm = 0.6 m                              =998888.88 N / C

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