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.

Amrita said:   1 decade ago
BANDWIDTH= Resonant freq/ Quality Factor

Resonant Frequency= 1/(2*pi*sqrt of(L*C))

Quality Factor= 1/R*(sqrt(L/C))


Using above fomula we can determine, Bandwidth=31.83 .

FADI said:   1 decade ago
B.W=FR/Q

Q=(1/R)SQRT(L/C)
FR=1/2*PI*SQRT(LC)

B.W=[1/2*PI*SQRT(LC)]/(1/R)SQRT(L/C)
B.W=R*SQRT C / 2*PI*L*SQRT C
B.W=R/2*PI*L

Sreeyush Sudhakaran said:   1 decade ago
B.W=fr/Q

Q=(2*Pi*fr*L)/R

B.W = fr/((2*Pi*fr*L)/R) = R/2*Pi*L = 1000/2*3.14*5 = 31.8Hz

Alka said:   1 decade ago
BW=fr/Q
Q=(2*pi*fr*L)/R
Bw=R/(2*pi*L)
=31.83

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

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.

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.

Daks said:   1 decade ago
Easy way.

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

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.

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


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