The frequency of oscillations in a tank circuit is:

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MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper
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  1. inversely proportional to L and C
  2. directly proportional to L and C
  3. inversely proportional to L and directly proportional to C
  4. inversely proportional to C and directly proportional to L

Answer (Detailed Solution Below)

Option 1 : inversely proportional to L and C
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LC Tank Circuit

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A capacitor and coil or LC circuit in parallel resonant circuit is called a tuned or tank circuit.

They are used in the tuner circuit to generate signals of a particular frequency or picking up signals of a particular frequency.

At Resonance:

\(X_L=X_C\)

\(2\pi fL={1\over 2\pi fC}\)

\(f={1\over 2\pi \sqrt{LC}}\)

where, f = Frequency

L = Inductance 

C = Capacitance

The frequency is inversely proportional to L and C.

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