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Question

In a region of space, the electric field is given by E=8^i+4^j+3^k. The electric flux through a surface of area of 100 units in xy plane is

A
400 units
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B
1500 units
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C
300 units
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D
800 units
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Solution

The correct option is C 300 units
Given,
Electric field vector, E=8^i+4^j+3^k

As , the plane surface is parallel to x-yplane, so the area vector A points along the positive direction of z-axis.
So, area vector, A=100^k

Electric flux through the surface,
ϕ=E.A

ϕ=(8^i+4^j+3^k).(100^k)

ϕ=300 units

Hence, option (b) is the correct answer.

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