Question

In the given circuit, initially the charge on the capacitor is $Q_0$. At time t=0, the switch (s) is closed. Which of the following statement (s) is/are correct?

• A. Maximum current through the inductor is $\frac{Q_0}{\sqrt{LC}}$
• B. At time $t=\frac{\pi }{2}\sqrt{LC}$, charge on the capacitor becomes zero
• C. At time $t=\frac{\pi }{2}\sqrt{LC}$, current through the inductor becomes maximum
  
• D. Maximum magnetic energy stored in the inductor is $\frac{Q_0^2}{2C}$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A Maximum current through the inductor is $\frac{Q_0}{\sqrt{LC}}$
B At time $t=\frac{\pi }{2}\sqrt{LC}$, charge on the capacitor becomes zero
C At time $t=\frac{\pi }{2}\sqrt{LC}$, current through the inductor becomes maximum

D Maximum magnetic energy stored in the inductor is $\frac{Q_0^2}{2C}$

$I_{max}=Q_0\omega att=\frac{T}{4}$ current becomes maximum and charge on the capacitor becomes zero. Total energy is conserved