Given below is the curve between maximum value of current im and angular frequency - for three different series LCR circuits at same voltage- For which curve- the value of resistance of the resistor is maximum-

We know that, at resonance, Z=R. Also, i_m=V_mZ=V_mR At the same voltage, i_m ∝1R nbsp; From figure, i_m3 gt;i_m2 gt;i_m1⇒ R_1 gt;R_2 gt;R_3 Hen ...

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Standard XII

Physics

RLC Circuit

Given below i...

Question

Given below is the curve between maximum value of current $(i_{m})$ and angular frequency $(ω)$ for three different series LCR circuits at same voltage. For which curve, the value of resistance of the resistor is maximum?

Curve -

3

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All the curve have equal value of resistance of the resistor.

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Curve -

1

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Curve -

2

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Solution

The correct option is C Curve - $1$

We know that, at resonance, $Z = R$ .

Also, $i_{m} = \frac{V_{m}}{Z} = \frac{V_{m}}{R}$

At the same voltage, $i_{m} \propto \frac{1}{R}$

From figure,

$i_{m 3} > i_{m 2} > i_{m 1} \Rightarrow R_{1} > R_{2} > R_{3}$

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

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Given below is the curve between maximum value of current (im) and angular frequency (ω) for three different series LCR circuits at same voltage. For which curve, the value of resistance of the resistor is maximum?

The correct option is C Curve - 1 We know that, at resonance, Z=R. Also, im=VmZ=VmR At the same voltage, im∝1R From figure, im3>im2>im1⇒R1>R2>R3 Hence, option (A) is the correct answer.

Given below is the curve between maximum value of current $(i_{m})$ and angular frequency $(ω)$ for three different series LCR circuits at same voltage. For which curve, the value of resistance of the resistor is maximum?

The correct option is C Curve - $1$

We know that, at resonance, $Z = R$ .

Also, $i_{m} = \frac{V_{m}}{Z} = \frac{V_{m}}{R}$

At the same voltage, $i_{m} \propto \frac{1}{R}$

From figure,

$i_{m 3} > i_{m 2} > i_{m 1} \Rightarrow R_{1} > R_{2} > R_{3}$

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