Electronics - RLC Circuits and Resonance - Discussion

Discussion Forum : RLC Circuits and Resonance - General Questions (Q.No. 2)
2.
What is the bandwidth of the circuit?

31.8 Hz
32.3 Hz
142 Hz
7.2 kHz
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
34 comments Page 2 of 4.

Jatin choudhary said:   9 years ago
f = R/2*3.14*L.
(1)

Laurent p .Eranga said:   10 years ago
First find fr = 1/6.28 times square root of LC.

You will got 71.2 hz.

Then find xl = 6.28 times fl you will got 2.23 k if xl = xc.

Then q = xl/r you will got 2.23 k/1 k = 2.235.

If the formula for bw = fr/q.

fr = 71.2 and q = 2.235 so bw = fr/q will be equals to 31.8 hz.

Gaurav Kumar Yadav said:   1 decade ago
As Bandwidth = Resonant frequency/Quality Factor.

And Resonant Frequency = 1/(2*pi*Sqareroot LC).

And Quality factor = 1/R*squareroot(L/C).

Now BW = 1/ (2*pi*Suareroot LC)/1/R*squareroot (L/C) = R/(2*pi*L).

BW = 1000/(2*3.14*5) = 31.8 Hz.

Krupal gowda jedrali said:   1 decade ago
= r/2.pai.L formula.
= 1000/2*pai*5 = 31.8105 hz.

Dhana said:   1 decade ago
XL=wL.
XL=(2*pi*f)(5H).
XL=2*22/7*5.
XL=31.42 app.

Ruben said:   1 decade ago
So, when you decrease the resistance in the circuit Q will increase and bandwidth and will decrease, but phase angle theta will increase. The circuit efficiency will decrease number.

Daks said:   1 decade ago
Easy way.

BW = Fr/Q
BW = 1/2*pi*L/R
BW = R/2*pi*L
BW = 31.83

Shah said:   1 decade ago
B' = R/L in radians.
B' = 1000/5.
B' = 200.
B = B'/2*pi.
B = 200/2*pi.
B = 31.83.

Govind Singh Chouhan said:   1 decade ago
Data Given:

R = 1k.
C = 1uF.
L = 5H.

So, resonance freq. is = 1/2*pi*sqrt(LC).

(fo is a resonance freq.)

fo = 1/2*3.14*sqrt(5*1*10^-6)).
fo = 1/2*3.14*sqrt(0.000005).
fo = 71.42Hz.

we know about the Quality factor "Q",

Q = WoL/R.
Q = 2*pi*fo*5/1k.
Q = 2.24.

The relationship between Q,fo and BW is:

Q = fo/BW.

So BW = fo/Q.

BW = 71.42/2.24.

BW = 31.88Hz.

Manjunath said:   1 decade ago
Bandwidth = R/2*pi*L . BW= 1/2*3.14*5 = 31.8 Hz.


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