A spherical,non-conducting shell of inner radius = 10 cm and outer radius = 15 cm carries a total charge Q = 15 μC distributed uniformly throughout the volume of the shell.What is the magnitude of the electric field at a distance r = 12 cm from the center of the shell? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²) A)5.75 × N/C B)zero C)2.87 × N/C D)5.75 × N/C E)2.87 × N/C

Question

Quizplus · Accepted Answer

Since the electric field of a uniformly charged spherical shell is only dependent on the distance from the center of the shell, we can use the formula for electric field at a point outside a uniformly charged spherical shell:
$$E = \frac{kQ}{r^2}$$
where r is the distance from the center of the shell and Q is the total charge contained in the shell. Plugging in the given values, we get:
$$E = \frac{(8.99 	imes 10^9 	ext{ N}\cdot	ext{m}^2/	ext{C}^2)(15	imes 10^{-6}	ext{C})}{(0.12	ext{m})^2} = 2.87	imes 10^4 	ext{N/C}$$
Therefore, the answer is (C).

A Spherical,non-Conducting Shell of Inner Radius = 10