Question

Consider the uniform electric field E = (7 j+ 4 k​) ✕ 103 N/C. What is...

Consider the uniform electric field E = (7 j+ 4 k​) ✕ 103 N/C.
What is its electric flux (in N · m2/C) through a circular area of radius 1.0 m that lies in the xy-plane? (Enter the magnitude.)

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Answer #1

The area enclosed by the circle is

The area lies in the xy-plane. The direction of area vector is normal to the area. In this case, the direction is normal to the xy-plane, that is . The area vector is

The electric flux is given by

Since the given electric field is uniform, the electric field can be taken out of the integration

Substituting values

Using we get

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