A spherical shell of radius 9.0 cm carries a uniform surface charge density σ = 9.0 nC/m2. The electric field at r = 9.1 cm is approximately

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Physics

Josephine Paul

24 December, 11:56

A spherical shell of radius 9.0 cm carries a uniform surface charge density σ = 9.0 nC/m2. The electric field at r = 9.1 cm is approximately

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Answers (1)

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Nathanial Barrera · Answer 1

995.12 N/C

Explanation:

R = 9 cm = 0.09 m

σ = 9 nC/m^2 = 9 x 10^-9 C/m^2

r = 9.1 cm = 0.091 m

q = σ x 4π R² = 9 x 10^-9 x 4 x 3.14 x 0.09 x 0.09 = 9.156 x 10^-10 C

E = kq / r^2

E = (9 x 10^9 x 9.156 x 10^-10) / (0.091 x 0.091)

E = 995.12 N/C