Mathematics · Alternating Current
A series LCR circuit with inductance 10 H, capacitance 10 μF, and resistance 50 Ω is connected to an AC source of voltage, V = 200 sin(100t) volts. If the resonant frequency of the LCR circuit is ν0 and the angular frequency of the AC source corresponds to a frequency ν, then:
- 1ν0 = 50π Hz, ν = 50 Hz
- 2ν0 = ν = 50π Hz✓
- 3ν0 = ν = 50 Hz
- 4ν = 100 Hz ; ν0 = 100π Hz
Correct answer
ν0 = ν = 50π Hz
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