Magnetic Moment and Torque Simulation
Part (a): Calculating Magnetic Moment
From the equation: τ = m × B × sinθ
Given: τ = 0.016 Nm, B = 800 G (0.08 T), θ = 30°
Current angle: 30°
Current field: 800 G
Magnetic moment (m): 0.40 A·m²
Torque (τ): 0.016 Nm
Part (b): Work Done
Work done moving from θ=0° (most stable) to θ=180° (most unstable):
W = Um(180°) - Um(0°) = 2mB
Work done: 0.064 J
Part (c): Solenoid Equivalent
Replacing the bar magnet with a solenoid having:
Cross-sectional area = 2 × 10⁻⁴ m², 1000 turns, same magnetic moment (0.40 A·m²)
ms = NIA
Current required: 2 A
