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  • Can someone explain In an oscillating LC circuit the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is

In an oscillating LC circuit the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is

  • Option 1)

    Q/2\; \;

  • Option 2)

    \; \; Q/\sqrt{3}\; \;

  • Option 3)

    \; Q/\sqrt{2}\;

  • Option 4)

    \; \; \; Q

 

Answers (1)

best_answer

As we learnt in 

LC Circuit voltage -

V_{L}=\: {I}\! X_{L}

V_{C}={I}\! X_{C}

- wherein

Let Q denote maximum charge on capacitor. Let q denote charge when energy is equally shared

\therefore \; \; \frac{1}{2}\left ( \frac{1}{2}\frac{Q^{2}}{C} \right )=\frac{1}{2}\frac{q^{2}}{C}\Rightarrow Q^{2}=2q^{2}

\therefore \; \; q=Q/\sqrt{2}


 


Option 1)

Q/2\; \;

This option is incorrect

Option 2)

\; \; Q/\sqrt{3}\; \;

This option is incorrect

Option 3)

\; Q/\sqrt{2}\;

This option is correct

Option 4)

\; \; \; Q

This option is incorrect

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