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A charged 30μF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?

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Class 12 Physics
CBSE and UP Board
Alternating Current
Chapter-7 Exercise 7.7

NCERT Solutions for Class 12 Physics Chapter 7 Question 7

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1 Answer

  1. Capacitance, C = 30μF = 30 x 10⁻6F

    Inductance, L = 27 mH = 27 x 10-3 H

    Angular frequency is given as:

    ωr = 1 /√(LC) = 1/√ ( 27 x 10-3 x 30 x 10⁻6  )

    = 1/ (9 x 10⁻⁴ ) rad/s

    = 1.11 x 10³ rad/s

    Hence ,the angular frequency of free oscillations of the circuit is 1.11 x 10³ rad/s

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