A square loop of side 1 m and resistance 1 is placed in a magnetic field of 0.5 T. If the plane of loop is perpendicular to the direction of magnetic field, the magnetic flux through the loop is [2022]

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Solution

Q.
A square loop of side 1 m and resistance 1 $Ω$ is placed in a magnetic field of 0.5 T. If the plane of loop is perpendicular to the direction of magnetic field, the magnetic flux through the loop is [2022]

1 2 weber

2 0.5 weber

3 1 weber

4 zero weber

Ans.
(2)

Given,

Side length of square, $l = 1$ $m$

Resistance, $R = 1$ $Ω$

Magnetic field, $B = 0.5$ $T$

The angle between the area vector and magnetic field is zero as the plane of coil is perpendicular to the magnetic field.

Magnetic flux, $ϕ = B A \cos θ$

$ϕ = 0.5 \times 1 \times 1 \times \cos 0 ° = 0.5$ $Wb$

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