Unit 5 Test

1. A coil of 50 turns and area 0.03 m² rotates in a magnetic field of 0.2 T at 60 rad/s. Find the maximum emf.
2. A bar magnet falls through a vertical coil. Determine the direction of the induced current at various positions.
3. Explain how Lenz’s Law demonstrates energy conservation in electromagnetic induction.
4. A solenoid has 400 turns and self-inductance 0.1 H. The current changes at 2 A/s. Find the induced emf.
5. Two coils are placed near each other. Coil 1’s current changes at 0.3 A/s. If the mutual inductance is 0.05 H, find the induced emf in coil 2.
6. A generator produces a sinusoidal emf \( \mathcal{E} = 10 \sin(100 t) \) V. Determine the peak and rms values.
7. Sketch and describe the induced current in a loop as a magnet is pulled away at constant speed.
8. Explain the effect of the number of turns and loop area on the induced emf.
9. Compare self-induction and mutual induction in terms of physical principles and formulas.
10. Discuss real-life applications of electromagnetic induction in devices such as transformers and generators.