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Question

The values of L and R in LCR circuit are 1 mH and 10 Ω respectively. What is the value of its bandwidth?

A
100002πHz
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B
10003Hz
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C
100πHz
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D
1002Hz
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Solution

The correct option is A 100002πHz

At resonance frequency, fr=12πLC,
current i=Imax (maximum currency)

And let f1 and f2 be the two frequencies between which the current i>Imax2.

Then Δf=f2f1 is known as bandwidth.

Δf=R2πL=102π(1×103)
=1042π Hz

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