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 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Curve -

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Curve -

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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.

Suggest Corrections

Similar questions

Q. 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?

Q. For the given curve between impedance

(Z)

and frequency

(f)

of a series LCR circuit, the value of resistance is -

Q. In a series LCR circuit connected to an ac source of variable frequency and voltage

v = v_{m} s i n ω t

, draw a plot showing the variation of current (I) with angular frequency

(ω)

for two different values of resistance

R_{1} a n d R_{2} (R_{1} > R_{2})

, Write the condition under which the phenomenon of resonance occurs. For which value of the resistance out of the two curves a sharper resonance is produced? Define Q-factor of the circuit and give its significance

Q. A series

LCR

circuit containing a resistance of

120 Ω

has angular resonance frequency

ω_{0} = 4 \times 10^{5} {rad s}^{- 1}

. At resonance, the voltage across resistance and inductance are

60 V

and

40 V

respectively. When angular frequency

ω = n \times 10^{5} {rads}^{- 1}

, the current in the circuit lags the voltage by

45^{\circ} .

The value of

n

is (integer only).

Q. A series LCR circuit containing a resistance of 120

Ω

has angular resonance frequency

4 \times 10^{5} r a d s^{- 1}

. At resonance the voltage across the resistance and inductance are 60 V and 40 V respectively. The angular frequency at which current in the circuit lags the voltage by

45^{0}

Join BYJU'S Learning Program

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.