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QUESTION 1 The voltage v(t) and current i(t) in an AC circuit are given in Figure 1. The closed box contains two circuit elements (resistor, inductor or capacitor) connected in series. i(t) = 45 sin(628t + 36°) mA v(t) = 22.3 sin(628t – 15°) V Closed Box %3D Figure 1 (a) Determine the frequency and period of both v(t) and i(t).

QUESTION 1 The voltage v(t) and current i(t) in an AC circuit are given in Figure 1. The closed box contains two circuit elements (resistor, inductor or capacitor) connected in series. i(t) = 45 sin(628t + 36°) mA v(t) = 22.3 sin(628t – 15°) V Closed Box %3D Figure 1 (a) Determine the frequency and period of both v(t) and i(t).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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QUESTION 1.. The voltage v(t) and current i(t) in an AC circuit are given in Figure 1. The closed box contains two circuit elements (resistor, inductor or capacitor) connected in series. i(t) = 45 sin(628t + 36°) mA v(t) 22.3 sin(628t –- 15°) V Closed Box %3D Figure 1 (a) Determine the frequency and period of both v(t) and i(t). (b) Which waveform (voltage or current) is leading and by how many degrees? (c) Sketch the v(t) and i(t) waveforms (one cycle each) on a common time axis, indicating clearly the peak values, phase shifts, period and phase difference (in milliseconds) between the waveforms. (d) Express both v(t) and i(t) as phasors. (e) Determine the total impedance of the circuit in rectangular and polar forms. (f) Is the circuit inductive or capacitive in nature? Explain your answer. (g) Identify the circuit elements inside the closed box and determine their respective values.
Transcribed Image Text:QUESTION 1.. The voltage v(t) and current i(t) in an AC circuit are given in Figure 1. The closed box contains two circuit elements (resistor, inductor or capacitor) connected in series. i(t) = 45 sin(628t + 36°) mA v(t) 22.3 sin(628t –- 15°) V Closed Box %3D Figure 1 (a) Determine the frequency and period of both v(t) and i(t). (b) Which waveform (voltage or current) is leading and by how many degrees? (c) Sketch the v(t) and i(t) waveforms (one cycle each) on a common time axis, indicating clearly the peak values, phase shifts, period and phase difference (in milliseconds) between the waveforms. (d) Express both v(t) and i(t) as phasors. (e) Determine the total impedance of the circuit in rectangular and polar forms. (f) Is the circuit inductive or capacitive in nature? Explain your answer. (g) Identify the circuit elements inside the closed box and determine their respective values.
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