RMS values, RLC circuits, resonance, power factor, transformer.
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Q1 · Alternating Current (Class 12) · EASY
An alternating voltage is given by V = 200 sin(100πt) volts. What is the root mean square (RMS) value of this voltage?
Q2 · Alternating Current (Class 12) · MEDIUM
A series LCR circuit is connected to an AC source. At resonance, the impedance of the circuit is 15 Ω. If the resistance of the circuit is 15 Ω, the inductive reactance is 20 Ω, and the capacitive reactance is 20 Ω, which statement is correct?
Q3 · Alternating Current (Class 12) · MEDIUM
A step-up transformer has 100 turns in the primary coil and 1000 turns in the secondary coil. The primary is connected to a 230 V AC supply and draws a current of 5 A. Assuming the transformer is ideal (100% efficient), what is the power output in the secondary coil?
Q4 · Alternating Current (Class 12) · HARD
In a series LCR circuit, R = 12 Ω, L = (40/π) mH and C = (100/π) μF are connected to an AC source of 200 V, 50 Hz. The impedance of the circuit is