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Introducing Flux

The electric ...

Question

The electric field in a region of space is given by $\to E = E_{0}^i + 2 E_{o}^j$ where $E_{o} = 100 N / C$ . The flux of this field through a circular surface of radius $0.02$ m parallel to the Y-Z plane is nearly :

0.125 N m^{2} / C

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0.02 N m^{2} / C

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0.005 N m^{2} / C

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3.14 N m^{2} / C

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Solution

The correct option is A $0.125 N m^{2} / C$
Answer is A.
We know that,
$ϕ = E . A C o s θ$ .
Since surface area is parallel to Y-Z plane therefore, y component of electric field will not contribute to flux through the circular surface.
So,
$ϕ = π r^{2} E_{o} = 3.14 \times 0.0004 \times 100 = 0.125 N m^{2} / C$

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