Which combination is to be selected for better tuning of an LCR series circuit used for communication? |
$R=20Ω, L=1.5 H, C=35 μF$ $R=25Ω, L=2.5 H, C=45 μF$ $R=15Ω, L=3.5 H, C=30 μF$ $R=15Ω, L=1.5 H, C=45 μF$ |
$R=15Ω, L=3.5 H, C=30 μF$ |
The correct answer is Option (3) → $R=15Ω, L=3.5 H, C=30 μF$ for resistance in an LCR series circuit, $f_0=\frac{1}{2\pi\sqrt{LC}}$ $f_0$ = Resonant frequency L = Inductance C = Capacitance for, $L=3.5 H$ and $C=30μF$ $f_0=\frac{1}{2\pi\sqrt{3.5×30×10^{-6}}}≃859.9Hz$ and, the resonant frequency ($f_0$) is greater than compare to others when, $R=15Ω, L=3.5 H, C=30 μF$ |