In a  LCR circuit capacitance is changed from C to 2C . For the resonant frequency to remain unchanged, the inductance should be changed from L to

  • Option 1)

    4 L

  • Option 2)

    2L

  • Option 3)

    L/2

  • Option 4)

    L/4

 

Answers (1)

As we learnt in 

RLC circuit Voltage -

V_{R}=iR\: \: \: V_{L}= {i}\ X_{L}\: \: \: V_{C}={i}\ X_{C}

- wherein

At resonance, \omega =\frac{1}{\sqrt{LC}}    when  \omega  is constant,

\therefore \; \; \frac{1}{L_{1}C_{1}}=\frac{1}{L_{2}C_{2}}\Rightarrow \frac{1}{LC}=\frac{1}{L_{2}(2C)}=\frac{1}{2L_{2}C}

\therefore \; \; L_{2}=L/2

 

 

 


Option 1)

4 L

 

 

 

 

Option 2)

2L

Option 3)

L/2

Option 4)

L/4

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