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The figure represents variation of peak current \i_{0} with applied frequency \nu of the AC source of three different LCR circuits having different resistances. The value of inductance L and capacitance C are same for all the three circuits.

Question

If \mathrm{R}_{\mathrm{l}}=1 \Omega, \mathrm{R}_2=5 \Omega, \mathrm{R}_3=10 \Omega \text { and } \mathrm{L}=\frac{900}{\pi} \mathrm{mH}, \mathrm{C}=\frac{40}{\pi} \mu \mathrm{F} ,then the value of \nu _{0} is,

Option: 1

250 \mathrm{~Hz}


Option: 2

125 \mathrm{~Hz}


Option: 3

\frac{250}{6} \mathrm{~Hz}


Option: 4

\frac{250}{3} \mathrm{~Hz}


Answers (1)

best_answer

\mathrm{\begin{aligned} & v_0=\frac{1}{2 \pi \sqrt{\mathrm{LC}}} \\ & =\frac{250}{3} \mathrm{~Hz} . \end{aligned}}

Posted by

Shailly goel

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