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Standard XII

Physics

Impedance Triangle

A series RLC ...

Question

A series RLC circuit has a bandwidth of $300 rad/s$ at a resonance frequency of $3000 rad/s$ when excited by a voltage source of $100 V$ . The inductance of the coil is $0.1 H$ . The quality factor is -

10

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Solution

The correct option is A $10$
We know that, quality factor,

$Q = \frac{Resonant Frequency}{Bandwidth} = \frac{ω_{0}}{2 Δ ω}$

$\Rightarrow Q = \frac{3000}{300} = 10$

Hence, option $(A)$ is the correct answer.

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A series RLC circuit has a bandwidth of 300 rad/s at a resonance frequency of 3000 rad/s when excited by a voltage source of 100 V. The inductance of the coil is 0.1 H. The quality factor is -

The correct option is A 10We know that, quality factor, Q=Resonant FrequencyBandwidth=ω02Δω ⇒Q=3000300=10 Hence, option (A) is the correct answer.

A series RLC circuit has a bandwidth of $300 rad/s$ at a resonance frequency of $3000 rad/s$ when excited by a voltage source of $100 V$ . The inductance of the coil is $0.1 H$ . The quality factor is -

The correct option is A $10$
We know that, quality factor,

$Q = \frac{Resonant Frequency}{Bandwidth} = \frac{ω_{0}}{2 Δ ω}$

$\Rightarrow Q = \frac{3000}{300} = 10$

Hence, option $(A)$ is the correct answer.