Experiment 3: LC Circuit.

Text Box: Expt. 1. Simple Harmonic Motion
Text Box: List of Experiments (click the buttons for each expt.)
Text Box: Expt. 3. LC circuit
Text Box: Expt. 2. Damped Simple Harmonic Motion
Text Box: Expt. 8. Nonlinear Damped Oscillation 
Text Box: Expt. 4. LCR Circuit
Text Box: Expt. 5. Resonance in LCR Circuit
Text Box: Expt. 6. Coupled Simple Harmonic Motion
Text Box: Expt. 7. Nonlinear Oscillation

 

LC circuits

LC circuit diagram

The second order differential equation governing the current i(t) in the LC circuit is

\frac{d ^{2}i(t)}{dt^{2}} + \frac{1}{LC} i(t) = 0.\,

Thus, the complete solution to the differential equation is

i(t) = Ae ^{+j \omega t}  +   Be ^{-j \omega t}\,

The resonant frequency of the LC circuit is

\omega = \sqrt{1 \over LC}

 

Details relating to operation of the LC circuits can be found at the link below

http://en.wikipedia.org/wiki/LC_circuit

 

 

Please feel free to send your feedback, suggestions or queries regarding the experiment to: oscillations.vlab@gmail.com

In your email, please mention the experiment no. and name of the experiment.

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Oscillations

Developed and maintained by: Satyajit Banerjee, Pabitra Mandal and Gorky Shaw

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· After this, perform the experiment as demonstrated in the video instructions provided in the link below.