Obtain the resonant frequency of a series lcr circuit
Asked by admin @ in Physics viewed by 295 People
Obtain the resonant frequency wr of a series LCR circuit with L = 2.0H, C = 32 μF and R = 10 W. What is the Q-value of this circuit?
Answered by admin @
Dear Vani,
◆ Answer -
ω = 125 Hz
Q-value = 25
● Explanation -
# Given -
L = 2 H
C = 32 μF = 32×10^-6 F
R = 10 W
# Solution -
Resonant frequency of the circuit is given as -
ω = 1/√(LC)
ω = 1/√(2×32×10^-6)
ω = 1/(8×10^-3)
ω = 125 Hz
Q-value of the given circuit is calculated as -
Q-value = (1/R) √(L/C)
Q-value = 1/10 √(2/32×10^-6)
Q-value = 25
Thanks dear...
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