Question

In an ac circuit, containing an inductance and a capacitor in series, the current is found to be maximum when the value of inductance is 0.5 henry and a capacitance of 8$\mu F$. The angular frequency of the input ac voltage must be equal to

• A. 500 rad/sec
• B. $5 \times 10^{4}$rad/sec
• C. 4000 rad/sec
• D. 5000 rad/sec

Answer 1

Answer: (A)

500 rad/sec

Answer 2

Current is maximum i.e. the given circuit is in resonance, and at resonance $\omega_{0} = \frac{1}{\sqrt{LC}}$

⇒ $\omega_{0} = \frac{1}{\sqrt{0.5 \times 8 \times 10^{- 6}}} = \frac{1}{2 \times 10^{- 3}} = 500rad/sec.$