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Electrostatic Potential And Capacitance

Question
CBSEENPH12039936

An AC voltage is applied to a resistance R and an inductor L in series. If R and the inductive reactance are both equal to 3Ω, the phase difference between the applied voltage and the current in the circuit is 

  • π/4

  • π/2

  • zero

  • π/6

Solution

A.

π/4

tan space straight ϕ space equals space straight X subscript straight L over straight R space equals Lω over straight R
tan space straight ϕ space equals space fraction numerator 3 space straight capital omega over denominator 3 space straight capital omega end fraction
tanϕ space equals space 1

straight ϕ space equals space 45 to the power of straight o

straight ϕ space equals space fraction numerator straight pi over denominator negative 4 end fraction rad

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