Two circular coils X and Y having radii R and(R/2) respectively are placed in horizontal plane with their centres coinciding with each other. Coil X has a current I flowing through it in the clockwise sense. What must be the current in coil Y to make the total magnetic field at the common centre of the two coils, zero?
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The magnetic field B at the center of the coil of radius a is along the axis of the coil and has a magnitude :
μ i / (2 a)
So the current in coil Y should be equal to (i/2) in the opposite direction, so that the net magnetic field at the center is 0.
μ i / (2 a)
So the current in coil Y should be equal to (i/2) in the opposite direction, so that the net magnetic field at the center is 0.
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