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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 value of $R$ is -

10 Ω

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20 Ω

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30 Ω

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40 Ω

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Solution

The correct option is C $30 Ω$
We know that, bandwidth,

$2 Δ ω = \frac{R}{L}$

$\Rightarrow 300 = \frac{R}{0.1}$

$\Rightarrow R = 30 Ω$

Hence, option $(C)$ 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 value of R is -

The correct option is C 30 ΩWe know that, bandwidth, 2Δω=RL ⇒300=R0.1 ⇒R=30 Ω Hence, option (C) 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 value of $R$ is -

The correct option is C $30 Ω$
We know that, bandwidth,

$2 Δ ω = \frac{R}{L}$

$\Rightarrow 300 = \frac{R}{0.1}$

$\Rightarrow R = 30 Ω$

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