A conducting loop confined in a plane is rotated in its own plane with some angular velocity. A uniform and constant magnetic field exist in the region. Find the current induced in the loop

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Solution

Current is a loop is given as

$I = v (B \times l)$

Since the magnetic field is constant and perpendicular to the normal.

Hence the current is given as follows

$I = B v l cos θ$

By substituting the angle in the above equation we get the current induced in a loop

$I = B v l$

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A conducting loop confined in a plane is rotated in its own plane with some angular velocity. A uniform and constant magnetic field exist in the region. Find the current induced in the loop

Current is a loop is given as I=v(B×l) Since the magnetic field is constant and perpendicular to the normal. Hence the current is given as follows I=Bvlcosθ By substituting the angle in the above equation we get the current induced in a loop I=Bvl

Current is a loop is given as

$I = v (B \times l)$

Since the magnetic field is constant and perpendicular to the normal.

Hence the current is given as follows

$I = B v l cos θ$

By substituting the angle in the above equation we get the current induced in a loop

$I = B v l$