Question

What is the value of inductance L for which the current is a maximum in a series LCR circuit with $C=10\mu Fand\omega =1000rad{s}^{-1}$ ?

• A. $10mH$
• B. $100mH$
• C. $1mH$
• D. cannot be calculated unless R is known

Answer 1

Answer: (B)

$100mH$

Current is maximum at resonance

$\Rightarrow {\omega }^2=\frac{1}{LC}\Rightarrow L=\frac{1}{{\omega }^{2}C}$
$=\frac{1}{{\left(1000\right)}^2(10\times {10}^{-6})}=0.1H=100mH$