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Consider the following image. (a) Find the net electric flux through the closed

ID: 1407936 • Letter: C

Question

Consider the following image.

(a) Find the net electric flux through the closed spherical surface in a uniform electric field shown in Figure a. (Use any variable or symbol stated above along with the following as necessary: E and .)
=   

(b) Find the net electric flux through the closed cylindrical surface shown in Figure b. (Use any variable or symbol stated above along with the following as necessary: E and .)
=   

(c) What can you conclude about the charges, if any, inside the cylindrical surface?

Explanation / Answer


(a)

flux through the left surface = -E*2*pi*R^2

flux through the rigt surface = +E*2*pi*R^2

totla flux = 0


(b)

flux through the left surface = +E*pi*R^2

flux through the rigt surface = +E*pi*R^2


total flux = Etot = 2*E*pi*R^2

(c)


from gauss law

totl flux = q(inside)/eo

E*2*pi*R^2 = qinside/eo

q(inside) = E*2*pi*R^2*eo   <<------answer

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