please answer all parts correct. A point charge q = +2 µC is at the center of a
ID: 1351695 • Letter: P
Question
please answer all parts correct.
A point charge q = +2 µC is at the center of a sphere of radius 0.5 m.
(a) Find the surface area of the sphere.
.... m2
(b) Find the magnitude of the electric field at points on the surface of the sphere.
.... N/C
(c) What is the flux of the electric field due to the point charge through the surface of the sphere?
.... N · m2/C
(d) Would your answer to part (c) change if the point charge were moved so that it was inside the sphere but not at its center?
... yes
... no
... not enough information to decide
(e) What is the net flux through a cube of side 2 m that encloses the sphere?
.... N · m2/C
Explanation / Answer
(a)
area = A = 4*pi*r^2 = 4*pi*0.5^2 = 3.14 m^2
(b)
E = k*q/r^2 = (9*10^9*2*10^-6)/(0.5^2) = 72000 N/C
(c)
flux = E*A = 226080 Nm^2/C
(d)
NO
(e)
from gauss law
net flux = q/eo
eo = permitivitty of medium = 8.85*10^-12
flux = 2*10^-6/(8.85*10^-12) = 226080 Nm^2/C
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