Question

An LCR series circuit containing a resistance of $120\Omega$ has angular resonance frequency $4\times 10^5$ rad $S^{-1}$. At resonance the voltage across resistance and inductance are 60V and 40V respectively. Then the values of L agd C are respectively

• A. $0.2\,mH ,1/32\,\mu F$
• B. $0.4\,mH ,1/16\,\mu F$
• C. $0.2\,mH ,1/16\,\mu F$
• D. $0.4\,mH ,1/32\,\mu F$

Answer 1

Answer: (A)

$0.2\,mH ,1/32\,\mu F$

Answer 2

At resonance $i=\frac{V}{R}=\frac{V_L}{X_L};X_L=\omega \,L\omega =\frac{1}{\sqrt{LC}}$