In an LC circuit (L-inductor and C-Capacitor), the frequency of oscillation is

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ISRO (VSSC) Technician Electrician  Feb 2019 Official Paper
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  1. \(f = \frac{1}{{2\pi \sqrt {LC} }}\)
  2. \(f = \frac{1}{{2\pi \sqrt {L/C} }}\)
  3. \(f = \frac{1}{{2\pi \sqrt {C/L} }}\)
  4. \(f = {{2\pi \sqrt {LC} }}\)

Answer (Detailed Solution Below)

Option 1 : \(f = \frac{1}{{2\pi \sqrt {LC} }}\)
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Detailed Solution

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CONCEPT:

  • LC Circuit: The circuit containing both an inductor (L) and a capacitor (C) can oscillate without a source of emf by shifting the energy stored in the circuit between the electric and magnetic fields is called LC circuit.
  • The tuned circuit has a very high impedance at its resonant frequency

EXPLANATION:

  • The frequency of oscillations generated by the LC circuit entirely depends on the values of the capacitor and inductor and their resonance condition.

It can be expressed as:

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

  • In an LC oscillator, the frequency of the oscillator is Inversely proportional to the square root of L or C. So option 1 is correct.
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