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Standard XII

Physics

Eddy Currents

A conducting ...

Question

A conducting loop of resistance R and radius ‘r’ has its center at the origin of the co-ordinate system in a magnetic field of induction B. When it is rotated about Y-axis through 90°, net charge flown in the coil is directly proportional to

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$r^{2}$

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Solution

The correct options are (C) $r^{2}$

For the given situation
We can write that for the charge flown in the coil is given as
$q = \frac{ϕ_{2} - ϕ_{1}}{R} = \frac{B (π r^{2})}{R}$
From the above equation we can say that
Charge flown in the coil is directly proportional to the $r^{2}$

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A conducting loop of resistance R and radius ‘r’ has its center at the origin of the co-ordinate system in a magnetic field of induction B. When it is rotated about Y-axis through 90°, net charge flown in the coil is directly proportional to

The correct options are (C) r2For the given situation We can write that for the charge flown in the coil is given as q=ϕ2−ϕ1R=B(πr2)RFrom the above equation we can say that Charge flown in the coil is directly proportional to the r2

The correct options are (C) $r^{2}$

For the given situation
We can write that for the charge flown in the coil is given as
$q = \frac{ϕ_{2} - ϕ_{1}}{R} = \frac{B (π r^{2})}{R}$
From the above equation we can say that
Charge flown in the coil is directly proportional to the $r^{2}$