Two concentric coils each of radius equal to are placed right angles to each other. If
and
are the currents flowing through the two coils respectively. The magnetic induction (in
) at the centre of the coils will be
Text Solution
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The situation is shown in the figure.
For coil 1,
For coil 2,
The magnetic induction at the center due to the current
in coil 1 is
It acts in vertically upwards direction.
The magnetic induction at the center due to the current
in coil 2 is
It acts in the horizontal direction.
As and
are perpendicular to each other, so the net magnetic field at the centre
is
Substituting the given values, we get
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