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Find the steady state current I(t) in the following circuit, where R₁ = R₂ = 100 ks, C = 1 µF, and L = 20 H for Vs = 5 cos(ät) V. Hints: change each component into its complex format first, i.e., ZR = R; Zc = 1/(j@C), Z₁ = jwL. Thus we change all the components (mainly the capacitor and the inductor) from their time domain's integral and derivative operations to the complex domain's algebra operations (treat every Z, impedance, as a resistor). After calculations, change the resultant complex value back to its time domain expression. R₁ L 000 C R₂ 1(1) Hint: Using the Voltage Divider Technique and the Complex Number Method find the voltage across the resistor first, then use the Ohm's Law find I(t):

Find the steady state current I(t) in the following circuit, where R₁ = R₂ = 100 ks, C = 1 µF, and L = 20 H for Vs = 5 cos(ät) V. Hints: change each component into its complex format first, i.e., ZR = R; Zc = 1/(j@C), Z₁ = jwL. Thus we change all the components (mainly the capacitor and the inductor) from their time domain's integral and derivative operations to the complex domain's algebra operations (treat every Z, impedance, as a resistor). After calculations, change the resultant complex value back to its time domain expression. R₁ L 000 C R₂ 1(1) Hint: Using the Voltage Divider Technique and the Complex Number Method find the voltage across the resistor first, then use the Ohm's Law find 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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Find the steady state current I(t) in the following circuit, where R₁ = R₂ = = 100 k, C = 1 µF, and L = 20 H for Vs = 5 cos(t) V. Hints: change each component into its complex format first, i.e., Zr = R; Zc = 1/(j@C), Z₁ = jøL. Thus we change all the components (mainly the capacitor and the inductor) from their time domain's integral and derivative operations to the complex domain's algebra operations (treat every Z, impedance, as a resistor). After calculations, change the resultant complex value back to its time domain expression. Vs R₁ -000 C R₂ T(1) Hint: Using the Voltage Divider Technique and the Complex Number Method find the voltage across the resistor first, then use the Ohm's Law find I(t):
Transcribed Image Text:Find the steady state current I(t) in the following circuit, where R₁ = R₂ = = 100 k, C = 1 µF, and L = 20 H for Vs = 5 cos(t) V. Hints: change each component into its complex format first, i.e., Zr = R; Zc = 1/(j@C), Z₁ = jøL. Thus we change all the components (mainly the capacitor and the inductor) from their time domain's integral and derivative operations to the complex domain's algebra operations (treat every Z, impedance, as a resistor). After calculations, change the resultant complex value back to its time domain expression. Vs R₁ -000 C R₂ T(1) Hint: Using the Voltage Divider Technique and the Complex Number Method find the voltage across the resistor first, then use the Ohm's Law find I(t):
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