(a) A series connection is formed between a 1 resistor, a 1 F capacitor, and a 1 H

Chapter 10, Problem 32

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(a) A series connection is formed between a \(1\ \Omega\) resistor, a 1 F capacitor, and a 1 H inductor, in that order. Assuming operation at \(\omega = 1\ rad/s\), what are the magnitude and phase angle of the phasor current which yields a voltage of \(1 \angle 30^{\circ} \mathrm{V}\) across the resistor (assume the passive sign convention)? (b) Compute the ratio of the phasor voltage across the resistor to the phasor voltage which appears across the capacitor-inductor combination. (c) The frequency is doubled. Calculate the new ratio of the phasor voltage across the resistor to the phasor voltage across the capacitor-inductor combination.