A small coil \( C \) with \( N=200 \) turns is mounted on one end of a balance beam and introduc...

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A small coil \( C \) with \( N=200 \) turns is mounted on one end of a balance beam and introduced between the poles of an electromagnet as shown in figure. The area of the coil is \( S=1 \mathrm{~cm}^{2} \), the length of the right arm of the balance beam is \( l=30 \mathrm{~cm} \). When there is no current in the coil the balance is in equilibrium. On passing a current \( I=22 \mathrm{~mA} \) through the coil, equilibrium is restored by putting an additional weight of mass \( m=60 \mathrm{mg} \) on the balance pan. Find the magnetic induction field (in terms of \( \times 10^{-1} \mathrm{~T} \) ) between the poles of the electromagnet, assuming it to be uniform.
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