Rotating Coil EMF Simulation
Example 6.3
A circular coil (radius 10 cm, 500 turns, resistance 2Ω) is rotated 180° in 0.25s in Earth's magnetic field (3.0 × 10⁻⁵ T). Estimate the induced EMF and current.
Initial flux: \(\Phi_i = 3\pi \times 10^{-7} \, \text{Wb}\)
Final flux: \(\Phi_f = -3\pi \times 10^{-7} \, \text{Wb}\)
Induced EMF: \(\varepsilon = N\frac{\Delta\Phi}{\Delta t} = 3.8 \times 10^{-3} \, \text{V}\)
Current: \(I = \varepsilon/R = 1.9 \times 10^{-3} \, \text{A}\)
Final flux: \(\Phi_f = -3\pi \times 10^{-7} \, \text{Wb}\)
Induced EMF: \(\varepsilon = N\frac{\Delta\Phi}{\Delta t} = 3.8 \times 10^{-3} \, \text{V}\)
Current: \(I = \varepsilon/R = 1.9 \times 10^{-3} \, \text{A}\)
Interactive Simulation
Explore how coil rotation induces EMF in Earth's magnetic field:
0°
0.25 s
500 turns
2.0 Ω
Magnetic Flux (Φ)
9.42 × 10-7 Wb
Induced EMF (ε)
0.00 V
Induced Current (I)
0.00 A
