A coil of 100 turns and area of 2×10^-2 m^2 pivoted about a vertical diameter in a uniform magnetic field carrying a current of 5A. When the coil is held with its plane with north-south direction, it experiences a force of 0.3 Nm, when the plane is in east-west direction the torque is 0.4 Nm. What is
value of magnetic induction? And why we take MB sin theta and MB cos theta?
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τ2=NiABsin(90−θ)=NiABcosθ ...(ii)
τ21+τ22=(NiAB)2[sin2θ+cos2θ]
NiAB=τ21+τ22−−−−−−√
100×5×2×10−2B=(0.30)2+(0.4)2−−−−−−−−−−−−√=0.5
10B=0.5⇒B=0.05T
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