An L−R−C parallel circuit is connected to an ac source of constant voltage amplitude V and variable angular frequency ω. (a)Using the results of Problem, find expressions for the amplitudes IR, IL, and Ic of the currents through the resistor, inductor, and capacitor as functions of ω. (b) Graph IR, IL and Ic as functions of ω for V = 100 V, R = 200 Ω, L = 2.0 H, and C = 0.50 µ,F. (c) Discuss the behavior of IL and Ic in the limits ω = 0 and ω→∞ Explain why IL and Ic behave as they do in these limits. (d) Calculate the resonance frequency (in Hz) of the circuit, and sketch the phasor diagram at the resonance frequency. (e) At the resonance frequency, what is the current amplitude through the source? (f) At the resonance frequency, what is the current amplitude through the resistor, through the inductor, and through the capacitor?
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