Electromagnetic induction; Faraday's law; induced emf and current; Lenz's law; eddy currents; self and mutual induction; alternating currents; peak and rms value; reactance and impedance; LCR series circuit, resonance; quality factor; power in AC circuits; AC generator and transformer.
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Q1 · Electromagnetic Induction and Alternating Currents · EASY
A circular coil of radius 10 cm and 20 turns is placed perpendicular to a uniform magnetic field. The magnetic field changes from 0.2 T to 0.8 T in 0.1 s. What is the magnitude of the induced emf in the coil?
Q2 · Electromagnetic Induction and Alternating Currents · MEDIUM
In an AC circuit containing only a capacitor of capacitance 100 μF, the peak voltage is 200 V and the frequency is 50 Hz. What is the rms value of the current in the circuit?
Q3 · Electromagnetic Induction and Alternating Currents · MEDIUM
A rectangular loop of dimensions 5 cm × 10 cm is moved with a constant velocity of 2 m/s through a uniform magnetic field of 0.5 T perpendicular to its plane. The plane of the loop is perpendicular to the direction of motion. What is the magnitude of the induced emf when the loop is partially inside the field?
Q4 · Electromagnetic Induction and Alternating Currents · HARD
A series LCR circuit has L = 0.1 H, C = 100 μF, and R = 40 Ω. At resonance, if the applied voltage is 200 V, what is the voltage across the inductor?
Q5 · Electromagnetic Induction and Alternating Currents · MEDIUM
A transformer has 200 turns in the primary coil and 50 turns in the secondary coil. If the power input to the primary is 2000 W at 200 V, and the transformer is 80% efficient, what is the current in the secondary coil?