Magnetic field at the center of solenoid, B=μonI
Given: n=5000.4turnsmI=3A
B=4π×10−7×5000.4×3=1.5π×10−3T
Torque on the coil, τ=NIcoil→A×→B
As axis of coil and solenoid are perpendicular to each other, so →A×→B=AB=πr2B
Given: r=0.01mN=10Icoil=0.4A
τ=10×0.4×π(0.01)2×1.5π×10−3
⟹τ=6π2×10−7Nm