3D Magnetic Coil Simulation
This interactive 3D simulation demonstrates Example 4.11, showing the behavior of a current-carrying coil in a magnetic field.
Simulation
Touch and drag to rotate view • Pinch to zoom
Magnetic Field (2T)
Coil (100 turns)
Magnetic Moment
(a) Field at Center:
2 × 10⁻³ T (direction given by right-hand rule)
(b) Magnetic Moment:
10 A·m² (direction given by right-hand rule)
(c) Torques:
Initial torque (θ=0°): 0 N·m
Final torque (θ=90°): 20 N·m
(d) Angular Speed:
20 rad/s (when rotated by 90°)
Key Equations:
Magnetic field at center: \( B = \frac{\mu_0 NI}{2R} \)
Magnetic moment: \( m = NIA = NIπr^2 \)
Torque: \( \tau = mB\sinθ \)
Angular speed: \( \omega = \sqrt{\frac{2mB}{I}} \)
