Question

In an oscillating $L-C$ circuit in which $C=4.00\mu F$, the maximum potential across the capacitor during the oscillations is $1.50V$ and the maximum current through the inductor is $50.0mA$. What is the inductance $L$?

• A. $8.6mH$
• B. $3.6mH$
• C. $6.6mH$
• D. $4.6mH$

Answer 1

The correct option is B $3.6mH$

$\frac{1}{2}L{i_0}^2=\frac{1}{2}{C{V}_0}^2$
$\therefore L=\frac{{C{V}_0}^2}{{i_0}^2}=\frac{(4\times {10}^{-6}){\left(1.5\right)}^2}{{(50\times {10}^{-3})}^2}$$=3.6\times {10}^{-3}H$