Question

An alternating voltage frequency $\omega$ is induced in electric circuit consisting of an inductance $L$ and capacitance $C$, connected in parallel. Then across the inductance coil the
(i) current is maximum when ${\omega }^2=1/\left(LC\right)$
(ii) current is minimum when ${\omega }^2=1/\left(LC\right)$
(iii) voltage is minimum when ${\omega }^2=1/\left(LC\right)$
(iv) voltage is maximum when ${\omega }^2=1/\left(LC\right)$

• A. (i) and (iii) are correct
• B. (i) and (iv) are correct
• C. (ii) and (iii) are correct
• D. (ii) and (iv) are correct

Answer 1

The correct option is D (ii) and (iv) are correct

In parallel LC circuits, current is minimum when, $\omega =\sqrt{\frac{1}{LC}}$

Also, current and voltage are at angle of 90 degrees.

Hence, voltage is maximum when current is minimum.

Option D is thus correct.