Electronics - RLC Circuits and Resonance - Discussion

Discussion Forum : RLC Circuits and Resonance - General Questions (Q.No. 6)
6.
What is the range between f1 and f2 of an RLC circuit that resonates at 150 kHz and has a Q of 30?
100.0 kHz to 155.0 kHz
147.5 kHz to 152.5 kHz
4500 kHz to 295.5 kHz
149,970 Hz to 150,030 Hz
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
10 comments Page 1 of 1.

Mzr said:   7 years ago
Correct, thanks @Hussain.

Munna said:   8 years ago
Right @Sachin.

Sachin said:   8 years ago
BW = fr/Q = 150/30 = 5khz.
Then Lower frequency= fr - 1/2 BW= 150 - 1/2 x 5= 146.5 kHz.
Higher frequency = fr + 1/2 BW= 150 + 1/2 x 5= 152.5 khz.
(1)

Amit said:   9 years ago
You are right @M.V.Krishna.

Amit Zanwar said:   1 decade ago
It can also be solved by taking the mean of the options and checking it with the resonant freq.

So that's why its option (b).

Noopur khare said:   1 decade ago
MV Krishna is Right

SANJAY said:   1 decade ago
Q = 30; Fr = 150 KHz.
BW = Fr/Q = 150 K/30 = 5KHz.
BW = Fh - Fl = 5KHz.

Fh - Fl = 5 KHz.------------(1)
Fh + Fl = 300 KHz.----------(2)

Solve both equation

Fh=152.5

Fl=147.5

M.V.KRISHNA/palvoncha said:   1 decade ago
We know,

BW=fr/Q;

BW=(f2-f1);

(f2-f1)= fr/Q;

(f2-f1)= 150k/30;

(f2-f1)= 5k;

now checking with options:

A)155KHz-100kHz=55kHz;

B)152.5kHz-147.5kHz=5kHz;

c)295.5 kHz-4500 kHz= -4204.5

D)150,030 Hz-149,970 Hz=60Hz

So option B is correct.

Hussain said:   1 decade ago
Q = 30; Fr = 150 KHz
BW = Fr/Q = 150 K/30 = 5KHz.
BW = Fh - Fl = 5KHz.
so Fh should be above the Fr and Fl should be less than the Fr.
Fh > 150 KHz and Fl<150 KHz and difference will b 5 KHz.
(1)

Kumar_abhinav_anand said:   1 decade ago
f1=fr-r/(4*pi*l)
f2=fr+r/(4*pi*l)

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