If I have a circuit like that shown in the figure below, we can replace the resistor and inductor with an equivalent impedance that is Z1=ZR+ ZL . R ww Z1 Vsrc ZT If R = 200 Ohms; L= 0.500 Henries; and w = 120n radians/s, find Z1 in rectangular for Find Zi in polar form, with the exponent in radians. (Remember the proper polar for complex number?) Similarly, ZT = Zı + Zc. If C = 22.0 × 106 Farads, find ZT. Find Zt in polar form, with the exponent in radians.
If I have a circuit like that shown in the figure below, we can replace the resistor and inductor with an equivalent impedance that is Z1=ZR+ ZL . R ww Z1 Vsrc ZT If R = 200 Ohms; L= 0.500 Henries; and w = 120n radians/s, find Z1 in rectangular for Find Zi in polar form, with the exponent in radians. (Remember the proper polar for complex number?) Similarly, ZT = Zı + Zc. If C = 22.0 × 106 Farads, find ZT. Find Zt in polar form, with the exponent in radians.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
See attached P1
![1)
In electrical circuits the concept of impedance allows us to solve many circuit analysis problems
without resorting to calculus. To make this work we define the impedance Z of a circuit element
to be:
For a resistor, Z=R, where R is the resistance in Ohms (abbreviated Q); Z is also in Ohms.
For an inductor, Z=j w L, where Lis the inductance in Henries (Abbreviated H), w is the
frequency in radians/s, and j² = -1. Z will be complex, but still be in Ohms.
For a capacitor, Z= 1/( j w C) , where C is the capacitance in Farads (abbreviated F), w is
the frequency in radians/s, and j? = -1. Z will be complex but still be in Ohms.
If I have a circuit like that shown in the figure below, we can replace the resistor and inductor
with an equivalent impedance that is Z1=ZR+ ZL .
R
Z1
Vsrc
ZT
a.
If R = 200 Ohms; L= 0.500 Henries; and w = 120n radians/s, find Z1 in rectangular form.
b. Find Z1 in polar form, with the exponent in radians. (Remember the proper polar form of a
complex number?)
Similarly, ZT = Zı + Zc. If C = 22.0 x 10° Farads, find ZT.
С.
d. Find ZT in polar form, with the exponent in radians.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ce7fe7-6055-4d88-a2fe-fb962619b6d1%2Fd66ce405-086f-410c-a504-2ab6c06ac8a1%2Fslx4yvt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1)
In electrical circuits the concept of impedance allows us to solve many circuit analysis problems
without resorting to calculus. To make this work we define the impedance Z of a circuit element
to be:
For a resistor, Z=R, where R is the resistance in Ohms (abbreviated Q); Z is also in Ohms.
For an inductor, Z=j w L, where Lis the inductance in Henries (Abbreviated H), w is the
frequency in radians/s, and j² = -1. Z will be complex, but still be in Ohms.
For a capacitor, Z= 1/( j w C) , where C is the capacitance in Farads (abbreviated F), w is
the frequency in radians/s, and j? = -1. Z will be complex but still be in Ohms.
If I have a circuit like that shown in the figure below, we can replace the resistor and inductor
with an equivalent impedance that is Z1=ZR+ ZL .
R
Z1
Vsrc
ZT
a.
If R = 200 Ohms; L= 0.500 Henries; and w = 120n radians/s, find Z1 in rectangular form.
b. Find Z1 in polar form, with the exponent in radians. (Remember the proper polar form of a
complex number?)
Similarly, ZT = Zı + Zc. If C = 22.0 x 10° Farads, find ZT.
С.
d. Find ZT in polar form, with the exponent in radians.
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