Ncert Exercises & Solutions

How does the sign of the phase angle $ϕ$ , by which the supply voltage leads the current in an L-C-R series circuit, change as the supply frequency is gradually increased from very low to very high values.

Hint: The phase angle depends on the reactance of the circuit.

\tan ϕ = \frac{X_{L} - X_{C}}{R} = \frac{2 πνL - \frac{1}{2 πνC}}{R}

\tan ϕ < 0 (for ν < ν_{0})

\tan ϕ > 0 (for ν > ν_{0})

\tan ϕ = 0 (for ν = ν_{0} = \frac{1}{2 π \sqrt{2 C}})

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