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Question

# A uniform electric field of magnitude E=100 N/C exists in the space in +x− direction. Calculate the flux of this field through a plane square of edge 10 cm placed in the y−z plane. Take the normal along the positive x− axis to be positive.

A
1 N-m2/C
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B
2 N-m2/C
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C
3 N-m2/C
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D
4 N-m2/C
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Solution

## The correct option is A 1 N-m2/CGiven: Edge of square, a=10 cm So, area of square A=a2=100 cm2=10−2 m2 Magnitude of electric field, E=100 N/C As positive normal to the square is along the positive x− axis. Thus, its angle with electric field, θ=0∘ Now, electric flux ϕ is given by ϕ=→E⋅→A=EAcosθ ⇒ϕ=100×10−2×cos0∘=1 N-m2/C

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