MCQ
Match List$-I$ with List$-II$

  List$-I$   List$-II$
$(a)$ Phase difference between current and voltage in a purely resistive $AC$ circuit $(i)$ $\frac{\pi}{2} ;$ 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 $(iii)$ $\frac{\pi}{2} ;$ current lags voltage
$(d)$ Phase difference between current and voltage in an $LCR$ series circuit $(iv)$ $\tan ^{-1}\left(\frac{X_{C}-X_{L}}{R}\right)$

Choose the most appropriate answer from the options given below:

  • A
    $(a) -( i ),( b )-( iii ),( c )-( iv ),( d )-( ii )$
  • B
    $(a) -( ii ),( b )-( iv ),( c )-( iii ),( d )-( i )$
  • C
    $(a)-(ii),(b)-(iii),(c)-(iv),(d)-(i)$
  • $(a)-(ii),(b)-(iii), (c)-(i), ( d )-( iv )$

Answer

Correct option: D.
$(a)-(ii),(b)-(iii), (c)-(i), ( d )-( iv )$
d
$(d)$ $\tan \phi=\frac{ V _{ L }- V _{ C }}{ V _{ R }}=\frac{ X _{ L }- X _{ C }}{ R }$

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