Alternating Current

JEE Main level, single correct, medium

39 of 190

Question 39 of 190

Match List-I with List-II List-i List-II a Phase difference between current and voltage in a purely resistive AC circuit i π2;\dfrac{\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
π2;\dfrac{\pi }{2}; current lags
voltage d Phase difference between current and

voltage in an LCR series circuit iv
tan⁡−1(XC−XLR){\tan }^{-1}\left(\dfrac{{X}_{C}-{X}_{L}}{R}\right) Choose the most appropriate answer from the options given below :

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Answer: (D) (a)−(ii),(b)−(iii),(c)−(i),(d)−(iv)(a)-(ii),(b)-(iii),(c)-(i),(d)-(iv)


(d)
tan⁡ϕ=VL−VCVR=XL−XCR\tan \phi =\dfrac{{V}_{L}-{V}_{C}}{{V}_{R}}=\dfrac{{X}_{L}-{X}_{C}}{R}

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