Question

Four different circuit components are given in column I-and all the components are connected across an AC source of same angular frequency $\omega =200\text{rad/s}$.
The information of phase difference between the current and source voltage in such situation of column -I is given in column-II.
Match the circuit components in column-I with corresponding result in column-II.

Which of the following options is the correct match?

• A. $\left(A\right)\to q,r\left(B\right)\to p,t\left(C\right)\to p,r\left(D\right)\to q,t$
• B. $\left(A\right)\to p,r\left(B\right)\to p,t\left(C\right)\to p,r\left(D\right)\to q,t$
• C. $\left(A\right)\to q,r\left(B\right)\to q,t\left(C\right)\to q,r\left(D\right)\to q,t$
• D. $\left(A\right)\to p,r\left(B\right)\to q,t\left(C\right)\to p,r\left(D\right)\to p,t$

Answer 1

The correct option is A $\left(A\right)\to q,r\left(B\right)\to p,t\left(C\right)\to p,r\left(D\right)\to q,t$

$\left(A\right)\to q,r\left(B\right)\to p,t\left(C\right)\to p,r\left(D\right)\to q,t$

(a) The current leads the source voltage because reatance is capacitive in nature
$\tan \varphi =\frac{\frac{1}{\omega C}}{R}\Rightarrow \varphi =\frac{\pi }{4}$,
(b)Pure inductive circuits, current lags behind the voltage with phase angle $\varphi =\frac{\pi }{2}$,
(c) Current leads behind source voltage because reatance is capacitive
As $R=0,\tan \varphi =\infty \Rightarrow \varphi =\frac{\pi }{2}$,
(d) Current lags behind source voltage because reatance is inductive, $\tan \varphi =\frac{\omega L}{R}\Rightarrow \varphi =\frac{\pi }{4}$,,