CBSE Class 12-science Answered
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 ?
With the same currents flowing in the two coils, if the coil Y is now lifted vertically upwards through a distance R, what would be the net magnetic field at the centre of coil Y ?
The current in the inner coil should be anticlockwise direction.
For calculating the magnitude of current through Y:
- write the equation of magnetic field due to circular coil X of radius R and carrying known current I at its centre
- write the equation of magnetic field due to circular coil Y of radius R/2 and carrying unknown current I' at its centre
- equate the two equations and calculate for I'
In the second case:
- write the equation of magnetic field due to circular coil X of radius R and carrying known current I at its centre
- write the equation of magnetic field due to circular coil Y of radius R/2 and carrying unknown current I'' at a point at a distance R along its axis
- equate the two equations and calculate for I''
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