A 200-Ω resistor, 150-μF capacitor, and 2.5-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency ω . (a) What is the value of the resonance frequency ωR ? (b) What is the amplitude of the current if ω = ωR ? (c) What is the phase constant of the current when ω = ωR ? Is it leading or lagging the source voltage, or is it in phase? (d) Write an equation for the voltage drop across the resistor as a function of time when ω = ωR . (e) What is the power factor of the circuit when ω = ωR ? (f) How much energy is used up by the resistor in 2.5 s when ω = ωR ?

A 200-Ω resistor, 150-μF capacitor, and 2.5-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency ω . (a) What is the value of the resonance frequency ωR ? (b) What is the amplitude of the current if ω = ωR ? (c) What is the phase constant of the current when ω = ωR ? Is it leading or lagging the source voltage, or is it in phase? (d) Write an equation for the voltage drop across the resistor as a function of time when ω = ωR . (e) What is the power factor of the circuit when ω = ωR ? (f) How much energy is used up by the resistor in 2.5 s when ω = ωR ?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 62CP: A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power...

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