Question:
Resonant frequency of a series LCR circuit is 600 Hz. Quality factor of the circuit is 4. Band width is
Resonant frequency of a series LCR circuit is 600 Hz. Quality factor of the circuit is 4. Band width is
Updated On: Jul 28, 2022
- 300 Hz
- 150 Hz
- 1200 Hz
- 450 Hz
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The Correct Option is B
Solution and Explanation
Bandwidth of $LCR $ circuit is given by,
$2 \Delta \omega = \frac{\omega_0}{Q} $ or $2 \Delta \upsilon = \frac{\upsilon_0}{Q}$
Here, $\upsilon_0 = 600 \: Hz , Q = 4 $
$ \therefore$ Band width $ = \frac{600}{4} = 150 \, Hz $
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Concepts Used:
LCR Circuit
An LCR circuit, also known as a resonant circuit, or an RLC circuit, is an electrical circuit consist of an inductor (L), capacitor (C) and resistor (R) connected in series or parallel.
Series LCR circuit
When a constant voltage source is connected across a resistor a current is induced in it. This current has a unique direction and flows from the negative to positive terminal. Magnitude of current remains constant.
Alternating current is the current if the direction of current through this resistor changes periodically. An AC generator or AC dynamo can be used as AC voltage source.
