Question

Switch is in position $A$ for long time. At time $t=0$ it is shifted to position $B$. Find the maximum charge that will accumulate on capacitor

• A. $(\sqrt{LC})\frac{E}{R}$
• B. $\frac{E}{(\sqrt{LC})R}$
• C. $\left(\sqrt{\frac{L}{C}}\right)\frac{E}{R}$
• D. $\left(\sqrt{\frac{C}{L}}\right)\frac{E}{R}$

Answer 1

Answer: (A)

$I_{\max }={\omega }_0{q}_{\max }$
$I_{\max }=\frac{\epsilon }{R}$
${\omega }_0=\frac{1}{\sqrt{LC}}$
$q_{\max }=\frac{E/R}{1/\sqrt{LC}}$
$\Rightarrow q_{\max }=(\sqrt{LC})\frac{E}{R}$