Question

A series LCR circuit is connected to an a.c. voltage source (v = v₀ sinωt) and the value of C is such that 1/ωC ≃ 0. The phase angle (θ), between the current flowing and the voltage applied, then equals.

(1) tan^-1 (ωL/R); current leading; θ can be made zero by taking a value of C equal to \((\frac{1}{ω^2L})\)

(2) tan^-1 (1/ωLR); current lagging; θ can be made zero by taking a value of C equal to (1/ω²L)

(3)  tan^-1 (1/ωLR); current leading; θ can be made zero by taking a value of C equal to (1/ω²L)

(4) tan^-1 (1/ωR); current lagging; θ can be made zero by taking a value of C equal to (1/ω²L)

Answer 1

(4) tan^-1 (1/ωR); current lagging; θ can be made zero by taking a value of C equal to (1/ω²L)

The phase angle (correct lagging) between the current flowing, and the voltage applied, in a series LCR circuit is given by

The required value of C is, therefore,