Two identical circular wires P and Q each of radius R and carrying current I are kept in perpendicular planes such that they have a common centre as shown in the figure. Find the magnitude and direction of the net magnetic field at the common centre of the two coils.

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Bp is directed in the vertically upward direction while By is directed along the horizontal direction.

The net magnetic field is directed at an angle of 45° with either of the fields.
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