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← JEE Main 2014 · 19 Apr · Shift 1
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JEE Main 2014 · 19 Apr · Shift 1, Physics question 16

The electric field in a region of space is given by, E⃗=Eoi^+2Eoj^\vec E=E_o\hat i+2E_o\hat j where E0=100E_0=100 N/C. The flux of this field through a circular surface of radius 0.02 m parallel to the Y-Z plane is nearly :

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Answer and worked solution

Official answer: A

A disc parallel to the Y-Z plane has its normal along xx, so only Ex=E0E_x=E_0 contributes:
Φ=E0πr2=100×π×(0.02)2≈0.125 N m2/C.\Phi=E_0\pi r^2=100\times\pi\times(0.02)^2\approx0.125\text{ N m}^2\text{/C}.