Search any question & find its solution
Question:
Answered & Verified by Expert
Which one of the following curves represents the variation of impedance $(Z)$ with frequency $f$ in a series $L-C-R$ circuit, when connected to an AC source?
Options:
- A
- B
- C
- D
Solution:
2026 Upvotes
Verified Answer
The correct answer is:
Impedance $(Z)$ of a series $L-C-R$ circuit is given as
$=\sqrt{R^2+\left(\omega L-\frac{1}{\omega C}\right)^2}$
At $X_L=X_C$, then from Eq. (i), $Z_{\min }=R$, and $f=f_0 \quad\left[f_0=\right.$ resonance frequency $]$ Hence, the variation of $Z$ with frequency $f$ in a series $L-C-R$ circuit is given as
$=\sqrt{R^2+\left(\omega L-\frac{1}{\omega C}\right)^2}$
At $X_L=X_C$, then from Eq. (i), $Z_{\min }=R$, and $f=f_0 \quad\left[f_0=\right.$ resonance frequency $]$ Hence, the variation of $Z$ with frequency $f$ in a series $L-C-R$ circuit is given as
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.