Question

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

• A. $Q$
• B. $\frac{Q}{2}$
• C. $\frac{Q}{\sqrt{3}}$
• D. $\frac{Q}{\sqrt{2}}$

Answer 1

The correct option is D

$\frac{Q}{\sqrt{2}}$

$\frac{1}{2}\frac{q^{2}max}{C}=\frac{1}{2}\frac{q^2}{C}+\frac{1}{2}L{i}^2\Rightarrow \frac{1}{2}\frac{Q^2}{C}=\frac{1}{2}\frac{q^2}{C}\times 2\Rightarrow q=\frac{Q}{\sqrt{2}}$