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22.4 A uniformly charged solid sphere with a total charge of 50 nC and a radius R1 = 30 cm is surrounded concentrically by a...?

22.4 A uniformly charged solid sphere with a total charge of 50 nC and a radius R1 = 30 cm is surrounded concentrically by a thin spherical shell. The thin shell has a total charge of –17 nC and a radius R2 = 45 cm. Find the electric field at distances of 

a)14 cm, b) 37 cm, and c) 52 cm from the center of the sphere. 

1 Answer

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  • ?
    Lv 7
    7 months ago
    Favorite Answer

    a) at 14 cm, the "enclosed" charge is

    Q = 50nC * (14/30)³ = 5.08e-9 C

    E = kQ / d² = 8.99e9N·m²/C² * 5.08e-9C / (0.14m)² = 2331 N/C

    (outward)

    b) at 37 cm, the enclosed charge is 50 nC:

    E = 8.99e9N·m²/C² * 50e-9C / (0.37m)² = 3283 N/C

    (outward)

    c) at 52 cm, the enclosed charge is 33 nC:

    E = 8.99e9N·m²/C² * 33e-9C / (0.52m)² = 1097 N/C

    Hope this helps!

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