Question

In an $LC$ circuit the capacitor has maximum charge $q_0$. The value of ${\left(\frac{dI}{dt}\right)}_{max}$ , where $I$ is current in the circuit and $t$ is time, is

• A. $\frac{q_0}{LC}$
• B. $\frac{q_0}{\sqrt{LC}}$
• C. $\frac{q_0}{LC}-1$
• D. $\frac{q_0}{LC}+1$

Answer 1

The correct option is A $\frac{q_0}{LC}$

${\left(V_C\right)}_{max}={\left(V_L\right)}_{max}$
$\frac{q_0}{C}=L{\left(\frac{dI}{dt}\right)}_{max}$
$\therefore {\left(\frac{dI}{dt}\right)}_{max}=\frac{q_0}{LC}$