Consider a series RLC circuit driven at a fixed angular frequency ω that is higher than its resonant angular frequency ω0. Let the circuit parameters be L=80mH and C=5.0μF.
a. (i) Show algebraically that, for a fixed ω, the phase angle ϕ tends to +90∘ (pure lag) as the resistance R tends to zero, and to 0∘ as R becomes very large.
b. (ii) Take ω=1.5ω0. Calculate ϕ (in degrees) for two cases: (a) R=1Ω and (b) R=100Ω.
c. (iii) Comment briefly on how the resistance influences the sharpness of the phase transition from lead to lag near resonance, using your results from part (ii).