Consider a circular coil of wire carrying constant current I, forming… | JEE Main 2020 (7 Jan, Shift 1)

Q70JEE Main 2020 · 7 JAN · SHIFT 1Medium

Magnetic Flux & Faraday's Law

Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding the circular coil area is given by $\phi$ i. The magnetic flux through the area of the circular coil area is given by $\phi$ 0. Which of the following option is correct?

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Answer: (d)

Magnetic field lines form closed loops, so the net flux through the whole infinite plane is zero.
Lines going up through the coil area ( $\phi_0$ ) return down through the plane outside the coil ( $\phi_i$ ).
$\phi_i + \phi_0 = 0 \Rightarrow \phi_i = -\phi_0$
So the answer is (d) $\phi_i = -\phi_0$ .

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