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A spherical surface surrounds a point charge q. Describe what happens to the tot

ID: 2003790 • Letter: A

Question

A spherical surface surrounds a point charge q. Describe what happens to the total flux through the surface if the following happens.

(a) The charge is tripled.

(1)The flux is tripled.

(2)The flux decreases by 1/3.   

(3) The flux remains constant.

(4)The flux goes to zero.

(b) The volume of the sphere is doubled.

(1)The flux is tripled

.(2)The flux decreases by 1/3

.(3)The flux remains constant.

(4)The flux goes to zero.

(c) The surface is changed to a cube.

(1)The flux is tripled

(2).The flux decreases by 1/3.    

(3)The flux remains constant

(4).The flux goes to zero.

(d) The charge is moved to another location inside the surface.

(1)The flux is tripled.

(2)The flux decreases by 1/3.   

(3)The flux remains constant.

(4)The flux goes to zero

(e) The charge is moved outside the surface.
(1)The flux is tripled

.(2)The flux decreases by 1/3.   

(3)The flux remains constant.

(4)The flux goes to zero.

Explanation / Answer

a) Since the flux is proportional to charge enclosed, if charge is tripled, flux gets tripled.

b) Since the flux is not dependent on the radius of the spherical surface, if volume is doubled flux remains constant.

c) Since the flux is dependent only on charge enclosed and not on the dimension of the enclosing surface, flux remains constant.

d) Since the flux is dependent only on charge enclosed and not on the location of enclosed charge, flux remains constant.

e) Since enclosed charge becomes zero, flux goes to zero also.

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