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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)
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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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.
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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