Question

If an LC circuit has $C=1\mu F$ & $L=0.25$ henry. neglecting any resistance in the circuit, what is the frequency of oscillation ?

Answer 1

Solution

In LC circuit,

If $R=0\Omega$,

Net reactance = 0

$\Rightarrow Lw-\frac{1}{Lw}=0$

$\Rightarrow w=\frac{1}{\sqrt{LC}}=\frac{1}{\frac{1}{4}\times {10}^{-6}}=2\times {10}^{8}rad/s$