A resistor R , an inductor L , a capacitor C and voltmeters V _ 1 ,...

A resistor

R

, an inductor

L

, a capacitor

C

and voltmeters

{V}_{1}, {V}_{2}

and

{V}_{3}

are connected to an oscillator in the circuit as shown in the adjoining diagram. When the frequency of the& oscillation is increased, then at the resonant frequency, the voltmeter reading is zero in the case of
A resistor R , an inductor L , a capacitor C and voltmeters V _ 1 , V _ 2 and V _ 3 are connected to an oscillator in

A resistor R , an inductor L , a capacitor C and voltmeters V _ 1 , V _ 2 and V _ 3 are connected to an oscillator in

Options

Avoltmeter ${V}_{1}$ only
Bvoltmeter ${V}_{2}$ only
Cvoltmeter ${V}_{3}$ only
DAll the three voltmeters

Correct answer

B. voltmeter ${V}_{2}$ only

Step-by-step solution

At resonance, ${X}_{L} = {X}_{C}$ or $\omegaL = \dfrac{1}{\omegaC}$

Voltage across the series $L - C$ combination,

${V}_{2} = i\left({X}_{L} - {X}_{C}\right) = 0$

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