Find the (i) resonant and (ii) anti-resonant frequencies for series and parallel LCR circuits, respectively with the following data: L=10 mH, C=10 μF and R=1 kΩ.
Answer
The resonant frequency is given
w=110∗10−3∗10∗10−6=3.16∗103rad/secw=\sqrt{\frac{1}{10*10^{-3}*10*10^{-6}}}\\=3.16*10^3rad/secw=10∗10−3∗10∗10−61=3.16∗103rad/sec
Frequecy
f=12πLC=0.50∗103Hzf=\frac{1}{2\pi \sqrt{LC}}\\=0.50*10^3Hzf=2πLC1=0.50∗103Hz
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