Question

A series $LCR$ circuit has an inductance of $100mH$, a capacitor $0.1\mu F$ and a resistance of $200\Omega$. Find the impedance at resonance and the resonant frequency.

Answer 1

At resonance ,

Impedance $Z=R=200\Omega$

Resonance Frequency $f_r=\frac{2\pi }{\sqrt{LC}}$

$=\frac{2\pi }{\sqrt{100\times {10}^{-3}\times 0.1\times {10}^{-6}}}$

$=2\pi \times {10}^{4}Hz$