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  •       An alternating EMF of angular frequency <img alt="\om

      An alternating EMF of angular frequency \omega \left [ =\frac{1}{\sqrt{LC}} \right ] is applied to a series LCR circuit. For this frequency of the applied EMF,

Option: 1

The circuit is at 'resonance' and its impedance is made up only of a reactive part


Option: 2

The current in the circuit is in phase with the applied EMF and the voltage across R equals this applied EMF


Option: 3

The sum of the potential differences across the inductance and capacitance equals the applied EMF which is 180° ahead of phase of the current in the circuit


Option: 4

 Impedance of the circuit is less than R


Answers (1)

best_answer

 

Resonant frequency (natural frequency) -

X_{L}=X_{c}= \omega _{0}L= \frac{1}{\omega _{0}c}

\nu _{0}= \frac{1}{2\pi \sqrt{Lc}}\left ( Hz \right )

- wherein

Independent from resistance of the circuit.

 

 

At resonance (series resonant and circuit) If X_{L}=X_{c} -

Z_{min}= R

- wherein

Circuit behaves as resistive circuit.

 

 So the current in the circuit is in phase with the applied EMF and the voltage across R equals this applied EMF

 
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mansi

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