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Question

If E=^i+2^j+3^k, then find the Electric flux through surface of area 100 m2 lying in the xy-plane (in Vm)

A
200
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B
173.2
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C
141.4
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D
100
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Solution

The correct option is B 173.2
Given,

Electric field vector, E=(^i+2^j+3^k)

For, xy-plane area vector is along ^k.

So, A=100^k m2

So, for constant electric field, electric flux through the surface is given by ϕ=E.A ϕ=(^i+2^j+3^k).(100^k)

ϕ=1003

ϕ173.2

Hence, option (c) is the correct answer.

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