Consider the circuit shown in Figure P3.22, which includes the following: •A sinusoidally varying voltage source, V. An inductor, with an inductance, L. • A capacitor, with a capacitance, C. A resistor, with a resistance, R. We can find the current, I, in the circuit by using Ohm's law (generalized for alternating currents), v = IZ, where Zr is the total impedance in the circuit. (Impedance is the AC corollary to resistance.) Assume that the impedance for each component is as follows: Z4 = 0 + 5j ohms Ze = 0 – 15j ohms R= Zp = 5 + 0j ohms Z, = Z¢ + Z4, + R and that the applied voltage is V = 10 + 0j volts (Electrical engineers usually use jinstead of i for imaginary numbers.) Find the current, I, in the circuit. You should expect a complex number as a result. Enter the complex values of impedance into your calculations using the complex function. Figure P3.22 A simple circuit illstating a sinusoidally varying voltage source, V.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider the circuit shown in Figure P3.22, which includes the following:
•A sinusoidally varying voltage source, V.
An inductor, with an inductance, L.
• A capacitor, with a capacitance, C.
A resistor, with a resistance, R.
We can find the current, I, in the circuit by using Ohm's law (generalized
for alternating currents),
v = IZ,
where Zr is the total impedance in the circuit. (Impedance is the AC
corollary to resistance.)
Assume that the impedance for each component is as follows:
Z4 = 0 + 5j ohms
Ze = 0 – 15j ohms
R= Zp = 5 + 0j ohms
Z, = Z¢ + Z4, + R
and that the applied voltage is
V = 10 + 0j volts
(Electrical engineers usually use jinstead of i for imaginary numbers.)
Find the current, I, in the circuit. You should expect a complex number
as a result. Enter the complex values of impedance into your calculations
using the complex function.
Figure P3.22
A simple circuit illstating
a sinusoidally varying
voltage source, V.
Transcribed Image Text:Consider the circuit shown in Figure P3.22, which includes the following: •A sinusoidally varying voltage source, V. An inductor, with an inductance, L. • A capacitor, with a capacitance, C. A resistor, with a resistance, R. We can find the current, I, in the circuit by using Ohm's law (generalized for alternating currents), v = IZ, where Zr is the total impedance in the circuit. (Impedance is the AC corollary to resistance.) Assume that the impedance for each component is as follows: Z4 = 0 + 5j ohms Ze = 0 – 15j ohms R= Zp = 5 + 0j ohms Z, = Z¢ + Z4, + R and that the applied voltage is V = 10 + 0j volts (Electrical engineers usually use jinstead of i for imaginary numbers.) Find the current, I, in the circuit. You should expect a complex number as a result. Enter the complex values of impedance into your calculations using the complex function. Figure P3.22 A simple circuit illstating a sinusoidally varying voltage source, V.
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