Physics - Modern Physics Question with Solution | TestHub

At resonance, impedance of circuit is minimum. When impedance of capacitor and inductor is same, ${\mathrm{X}}_{\mathrm{L}}={\mathrm{X}}_{\mathrm{C}}$ Resonance frequency $v=\frac{1}{2\pi \sqrt{\mathrm{LC}}}$ $\begin{array}{rl}v& =\frac{1}{2\pi \sqrt{5\times 80\times 10^{-6}}}=\frac{1}{2\pi \sqrt{400\times 10^{-6}}}\\ & =\frac{1}{2\pi \times 20\times 10^{-3}}\\ & =\frac{10^3}{40\pi }=\frac{1000}{40\pi }=\frac{25}{\pi }\end{array}$