Question

Match List I with list II

List-I	List- II
(a) Phase difference between current and voltage in a purely resistive AC circuit	(i) π/2; current leads voltage
(b) Phase difference between current and voltage in a pure inductive AC circuit	(ii) zero
(c) Phase difference between current and voltage in a pure capacitive AC circuit	(iii) π/2; current lags voltage
(d) Phase difference between current and voltage in an LCR series circuit	(iv) ${\tan }^{-1}\left(\frac{X_C-X_L}{R}\right)$

• A. $\left(a\right)-\left(ii\right),\left(b\right)-\left(iii\right),\left(c\right)-\left(i\right),\left(d\right)-\left(iv\right)$
• B. $\left(a\right)-\left(ii\right),\left(b\right)-\left(iv\right),\left(c\right)-\left(iii\right),\left(d\right)-\left(i\right)$
• C. $\left(a\right)-\left(i\right),\left(b\right)-\left(iii\right),\left(c\right)-\left(iv\right),\left(d\right)-\left(ii\right)$
• D. $\left(a\right)-\left(ii\right),\left(b\right)-\left(iii\right),\left(c\right)-\left(iv\right),\left(d\right)-\left(i\right)$
  

Answer 1

The correct option is A $\left(a\right)-\left(ii\right),\left(b\right)-\left(iii\right),\left(c\right)-\left(i\right),\left(d\right)-\left(iv\right)$

$\left(a\right)$ phase difference betweenw current & voltage in a purely resistive $AC$ circuit is zero.

$\left(b\right)$ phase difference between current & voltage in a pure inductive $AC$ circuit is $\frac{\pi }{2}$ and current lags voltage.

$\left(c\right)$ phase difference between current & voltage in a pure capacitive $AC$ circuit is $\frac{\pi }{2}$ and current lead voltage.

$\left(d\right)$ phase difference b/w current & voltage in an $LCR$ series circuit is $={\tan }^{-1}\left(\frac{X_C-X_L}{R}\right)$

Hence, option $\left(\text{D}\right)$ is the right choice.