Question:

In an oscillating L-C circuit the maximum charge on the capacitor is The charge on the capacitor when the energy is stored equally between the electric and magnetic field is :

Updated On: Jul 6, 2022
  • $\frac{Q}{2}$
  • $\frac{Q}{\sqrt2}$
  • $\frac{Q}{\sqrt3}$
  • $\frac{Q}{3}$
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The Correct Option is B

Solution and Explanation

$U_e = \frac{U_{max}}{2}$ $\therefore$ $\frac{q^2}{2C} = \frac{Q^2}{4C}$ $\therefore \, q = \frac{Q}{\sqrt{2}}$
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Concepts Used:

Electromagnetic Induction

Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-

  1. When we place the conductor in a changing magnetic field.
  2. When the conductor constantly moves in a stationary field.

Formula:

The electromagnetic induction is mathematically represented as:-

e=N × d∅.dt

Where

  • e = induced voltage
  • N = number of turns in the coil
  • Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
  • t = time

Applications of Electromagnetic Induction

  1. Electromagnetic induction in AC generator
  2. Electrical Transformers
  3. Magnetic Flow Meter