Faraday's law, Lenz's law, self / mutual inductance, AC generators, LCR circuits, transformers.
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Q1 · Electromagnetic Induction & Alternating Current · EASY
A coil of 100 turns and area 0.02 m² is placed perpendicular to a magnetic field. If the magnetic field changes uniformly from 0.1 T to 0.5 T in 0.2 seconds, what is the magnitude of the induced EMF in the coil?
Q2 · Electromagnetic Induction & Alternating Current · EASY
An AC voltage is given by V = 220 sin(100πt) volts. What is the frequency of this AC voltage?
Q3 · Electromagnetic Induction & Alternating Current · MEDIUM
A step-up transformer has 100 turns in the primary coil and 500 turns in the secondary coil. If the primary voltage is 220 V and the primary current is 5 A, what is the secondary voltage and current respectively, assuming 100% efficiency?
Q4 · Electromagnetic Induction & Alternating Current · MEDIUM
In a series LCR circuit, the resistance R = 40 Ω, inductive reactance X_L = 80 Ω, and capacitive reactance X_C = 50 Ω. If the applied RMS voltage is 200 V, what is the RMS current in the circuit?
Q5 · Electromagnetic Induction & Alternating Current · MEDIUM
A rectangular coil of 50 turns, each of area 0.1 m², is rotated at 60 revolutions per second in a uniform magnetic field of 0.04 T about an axis perpendicular to the field. What is the maximum emf induced in the coil?