A spherical volume of space has an electric field of intensity 140 N/C directed radially outward from it surface of radius 0.7 m.What is the net charge enclosed within this surface?

Question

A spherical volume of space has an electric field of intensity 140 N/C directed radially outward from it surface of radius 0.7 m.What is the net charge enclosed within this surface?
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Quizplus · Accepted Answer

The electric field outside a charged spherical shell is given by: E = Q/4πε0r^2 where Q is the charge enclosed within the surface, ε0 is the electric constant, and r is the distance from the center of the sphere to the point where the electric field is measured.

In this problem, we are given the value of the electric field intensity E (140 N/C) and the radius r of the spherical surface (0.7 m). Therefore, we can use the equation to find the charge enclosed within the surface:

Q = 4πε0r^2E = 4π(8.85 x 10^-12 F/m)(0.7 m)^2(140 N/C) 
Q ≈ 7.57 x 10^-9 C

Therefore, the net charge enclosed within the surface is approximately 7.6 nC, which is answer choice B.

A Spherical Volume of Space Has an Electric Field of Intensity