A small magnet of magnetic moment M, is placed at a distance ‘r’ from the origin ‘O’ with axis parallel to x – axis as shown in fig. A small coil of one turn is placed on the x – axis, at the same distance from the origin with the axis of the coil coinciding with x-axis. For what value of the current in the coil does a small magnetic needle, kept at origin remains undeflected?
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a
I=2M4πa2
b
I=M4πa2
c
I=3M4πa2
d
zero
answer is A.
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Detailed Solution
The small magnetic needle will remain undeflected when magnetic field of Bar magnet is equal and opposite to the magnetic field of the coil. Bm¯=Bc¯⇒μ0M4πr3=μ0Ia22r3 Coil is small, a<