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a) Find the impedance Zab. b) Find the voltage V c) Draw a phasor diagram showing the current and the voltage across each element and the Vab).

a) Find the impedance Zab. b) Find the voltage V c) Draw a phasor diagram showing the current and the voltage across each element and the Vab).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please answer all parts. Attached is the formula sheet
In the circuit below, the current i(t) = 2 cos(377t) A. i(t) a W 202 60uF 25mH a) Find the impedance Zab- b) Find the voltage Vab- c) Draw a phasor diagram showing the current and the voltage across each element and the Vab).
Transcribed Image Text:In the circuit below, the current i(t) = 2 cos(377t) A. i(t) a W 202 60uF 25mH a) Find the impedance Zab- b) Find the voltage Vab- c) Draw a phasor diagram showing the current and the voltage across each element and the Vab).
Formulas: . ω=2xπ x f A cos(wt + 0) → A L0 • V =|*Z Polar to rectangular: Polar: R 20 a = R x sin 0 b = R x cos 0 Rectangular: a + j b Rectangular to polar: Rectangular: a + jb R = Va? + b2 e = tan-1 Polar: R 20 Component Value Reactance (X) Impedance Z Impedance Z (Polar) (Rectangular) R+ Oi R R L0 Resistor Yuc or /2mf c_ | /jwc or /wc C Vc4- 90° Capacitor L. wL or 2nf L jwl wL 290° Inductor Admittance Y = Impedance Z Always draw impedance phasors with reference as resistor impedance. For example, if you have a 200 ohm resistor, an inductor with impedance of 100 ohms, and capacitor with impedance of 1000 ohms: 100290° 20020° 10002 - 90° • Similarly, current and voltage phasors can also be drawn.
Transcribed Image Text:Formulas: . ω=2xπ x f A cos(wt + 0) → A L0 • V =|*Z Polar to rectangular: Polar: R 20 a = R x sin 0 b = R x cos 0 Rectangular: a + j b Rectangular to polar: Rectangular: a + jb R = Va? + b2 e = tan-1 Polar: R 20 Component Value Reactance (X) Impedance Z Impedance Z (Polar) (Rectangular) R+ Oi R R L0 Resistor Yuc or /2mf c_ | /jwc or /wc C Vc4- 90° Capacitor L. wL or 2nf L jwl wL 290° Inductor Admittance Y = Impedance Z Always draw impedance phasors with reference as resistor impedance. For example, if you have a 200 ohm resistor, an inductor with impedance of 100 ohms, and capacitor with impedance of 1000 ohms: 100290° 20020° 10002 - 90° • Similarly, current and voltage phasors can also be drawn.
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