Which one of the following graph represent correctly the variation of impedance (Z) of a series LCR circuit with the frequency ( $v$ ) of applied a.c.?

Question

Aicharya · Accepted Answer

$Z=\sqrt{R^2+\left(2 \pi v L-\frac{1}{2 \pi 
u C}ight)^2}$ From above equation at $v=0 \Rightarrow Z=\infty$ When $v=\frac{1}{2 \pi \sqrt{\mathrm{LC}}}$ (resonant frequency). $\Rightarrow \mathrm{Z}=\mathrm{R}$ For $v \gt \frac{1}{2 \pi \sqrt{L C}} \Rightarrow Z$ starts increasing. i.e., for frequency $0-v_r, Z$ decreases and for $v_r$ to $\infty, \mathrm{Z}$ increases. This is justified by graph (B).

Which one of the following graph represent correctly the variation of impedance (Z) of a series LCR circuit…

Solution