Electronics - RLC Circuits and Resonance - Discussion

Discussion Forum : RLC Circuits and Resonance - Filling the Blanks (Q.No. 7)
7.

The output voltage at the resonant frequency is _____ in the given circuit.

0 V
557 mV
6.08 V
6.5 V
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
3 comments Page 1 of 1.

Historia said:   5 years ago
You can get the Vout via the total impedance of the parallel LC tank. To get the output impedance, first, you need to determine the resonant frequency.

1. Equate XC=XL ; 1/(2*6800pF*fr) = 2 *5.8mH*fr ; fr = 25342.62974 Hz.

2. Find XC = XL; XL = 2*5.8mH*25.3416kHz = 923.5481452 ohms = XC.

3. Determine the total impedance of the tank circuit.
Find the Q: Q= XL/Rw = 923.5481/75 = 12.313975,
with Q you can solve for Z, where Z=Rw(1+Q^2).
Z = (75)(1+(12.314)^2) = 11447.549 ohms.

4. Using voltage divider we can now determine for Vo:

Vo = (Vs*Z)/(Z+Rs) = (6.5)*(11447.549)/(11447.549 + 800),
Vo = 6.075425255 V.

Varma said:   7 years ago
Can anybody explain the solution of the problem?

Rohit kumar yadav said:   1 decade ago
Please help me to solve out problem like this.

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