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Figure shows a series LCR circuit connec...

Figure shows a series LCR circuit connected to a variable frequency 230 V source.

The source frequency which drives the circuit the circuit in resonance is

A

4 Hz

B

5 Hz

C

6 Hz

D

8 Hz

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `L=5 H,C = 80 mu F = 80xx10^(-6)F, R = 40 Omega`
`V_("rms")=230 V`
The resonannt angular frequency is
`omega_(r )=(1)/(sqrt(LC))=(1)/(sqrt(5xx80xx10^(-6)))=50" rad " s^(-1)`
`therefore upsilon_(r )=(omega_(r ))/(2pi)=(50)/(2pi)=8 Hz`
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