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The circuit in Figure Q5 is the electrical analog of body functions used in medical schools to study convulsions. The analog is as follows: C₁ = Volume of fluid in a drug C2 R1 R2 νο = Volume of blood stream in a specified region = Resistance in the passage of the drug from the input to the blood stream = Resistance of the excretion mechanism, such as kidney, etc. = Initial concentration of the drug dosage v(t) = Percentage of the drug in the blood stream (a) Derive the circuit differential equation with v(t) as the variable; (b) Find the initial values (0+) and dv(0+)/dt; (c) Find v(t) for t> 0 given that C₁ = 0.5µF, C₂ = 5µF, R₁ = 5 M, R₂ = 2.5 M and the initial value of the voltage across C₁at t = 0¯ is 60 V. t=0 R₁ ww +5°1 C₁ R₂ 150 ww می + v(t)

The circuit in Figure Q5 is the electrical analog of body functions used in medical schools to study convulsions. The analog is as follows: C₁ = Volume of fluid in a drug C2 R1 R2 νο = Volume of blood stream in a specified region = Resistance in the passage of the drug from the input to the blood stream = Resistance of the excretion mechanism, such as kidney, etc. = Initial concentration of the drug dosage v(t) = Percentage of the drug in the blood stream (a) Derive the circuit differential equation with v(t) as the variable; (b) Find the initial values (0+) and dv(0+)/dt; (c) Find v(t) for t> 0 given that C₁ = 0.5µF, C₂ = 5µF, R₁ = 5 M, R₂ = 2.5 M and the initial value of the voltage across C₁at t = 0¯ is 60 V. t=0 R₁ ww +5°1 C₁ R₂ 150 ww می + v(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
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The circuit in Figure Q5 is the electrical analog of body functions used in medical schools to study convulsions. The analog is as follows: C₁ = Volume of fluid in a drug C2 R1 R2 νο = Volume of blood stream in a specified region = Resistance in the passage of the drug from the input to the blood stream = Resistance of the excretion mechanism, such as kidney, etc. = Initial concentration of the drug dosage v(t) = Percentage of the drug in the blood stream (a) Derive the circuit differential equation with v(t) as the variable; (b) Find the initial values (0+) and dv(0+)/dt; (c) Find v(t) for t> 0 given that C₁ = 0.5µF, C₂ = 5µF, R₁ = 5 M, R₂ = 2.5 M and the initial value of the voltage across C₁at t = 0¯ is 60 V. t=0 R₁ ww +5°1 C₁ R₂ 150 ww می + v(t)
Transcribed Image Text:The circuit in Figure Q5 is the electrical analog of body functions used in medical schools to study convulsions. The analog is as follows: C₁ = Volume of fluid in a drug C2 R1 R2 νο = Volume of blood stream in a specified region = Resistance in the passage of the drug from the input to the blood stream = Resistance of the excretion mechanism, such as kidney, etc. = Initial concentration of the drug dosage v(t) = Percentage of the drug in the blood stream (a) Derive the circuit differential equation with v(t) as the variable; (b) Find the initial values (0+) and dv(0+)/dt; (c) Find v(t) for t> 0 given that C₁ = 0.5µF, C₂ = 5µF, R₁ = 5 M, R₂ = 2.5 M and the initial value of the voltage across C₁at t = 0¯ is 60 V. t=0 R₁ ww +5°1 C₁ R₂ 150 ww می + v(t)
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