Question

Consider a uniform electric field E=2kN/C i.

a) What is the flux of this field through a square of side 10cm in a plane parallel to the yz plane.

b) What is the flux through the same square if the normal to its plane makes an angle of 30 degrees with the x axis?

Answer 1

Given data

Uniform electric field is E=2x10³ N/C i

Area of the square is A= (0.10 m)(0.10 m)

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a)

Here is angle between electric field and perpendcular to surface area. So =0^o

The flux through the electrici field is,

     =EA cos0

        =(2x10³ N/C)(0.10 m)(0.10 m)

        =20 Nm²/C

b)

The flux through the electrici field is,

     =EA cos30^o

        =(2x10³ N/C)(0.10 m)(0.10 m)cos60^o

        =10 Nm²/C