Verified Solution • 2025–26 Session moderate

QAIPM-2012-Ph-1740: NEET 2012 Physics - Class 11 AIPM-2012-Ph-1740 Solution: Two similar coils of radius R are lying concentrically with…

Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I respectively. The resultant magnetic field induction at the centre will be

\frac{\sqrt{5}\mu_0 I}{2R}

\frac{3\mu_0 I}{2R}

\frac{\mu_0 I}{2R}

\frac{\mu_0 I}{R}

Multiple Choice Options

A same as that of B
B opposite to that of B
C $\theta$ _ = tan $-$ _ 1 $\left( {{1 \over 2}} \right)$ ( 2 1 _ ) to the x-axis
D $\theta$ _ = tan $-$ _ 1 $\left( { - {1 \over 2}} \right)$ ( _ 2 1 _ ) to the x-axis

Step-by-Step Verified Solution

conservation of linear momentum along x-direction m 2 v = m 1 v x _ m 2 v m 1 = v x along y-direction m 2 _ v 2 = m 1 v y _ v y = m 2 v 2 m 1 Note: Let A moves in the direction, which makes an angle q with initial direction i.e. tan _ _ = v y v x = m 2 v 2 m 1 / m 2 v 2 m 1 tan _ _ = 1 2 tan _ _ = 1 2 _ _ = tan _ 1 ( 1 2 ) to the x-axis.

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