Question

In an ac circuit shown below in the above figure, the supply voltage has a constant rms value $V$ but variable frequency $f$. At resonance, the circuit

• A. Has current $I$ given by $I=\frac{V}{R}$
• B. Has a resonance frequency $500Hz$
• C. Has a voltage across the capacitor which is ${180}^{\circ }$ out of phase with that across the inductor
• D. Has a current given by $I=\frac{V}{\sqrt{R^2+{\left(\frac{1}{\pi }+\frac{1}{\pi }\right)}^2}}$

Answer 1

Answer: (A), (C)

The correct options are
A Has current $I$ given by $I=\frac{V}{R}$
C Has a voltage across the capacitor which is ${180}^{\circ }$ out of phase with that across the inductor