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For the circuit below, the switch is closed for a long time before being open at to = 0. Let v, = 19V, C = 0.8F, L = 1H and R1 = 9. Find: (a) Find the value of R to make the circuit critically damped. (b) Find the expressions for vo(t) and i(t) for t> 0 in the critically damped circuit. (c) If the value of resistance R is increased by 50, what will the circuit's transient response be (overdamped/underdamped)? Hence find the expressions for vo(t) and i(t) for t > 0? Note: In this problem, you may only submit numerical answers. (i.e. If 4 is the correct answer, 4 will be marked as correct, but 2+2 will be marked as incorrect.) Us ww R (a) R = 2.23606683457 (b) vo(t) = 19 i(t) = (1.69098 vo(t): (c) Response = Overdamped L + ΕΩ +(3.02493 +1.8905 to X. vo www exp R1 +-1.69098 t)exp(- 1.1180 t)exp(-1.1180 t) A 囲t)+ exp( t)V t)V

For the circuit below, the switch is closed for a long time before being open at to = 0. Let v, = 19V, C = 0.8F, L = 1H and R1 = 9. Find: (a) Find the value of R to make the circuit critically damped. (b) Find the expressions for vo(t) and i(t) for t> 0 in the critically damped circuit. (c) If the value of resistance R is increased by 50, what will the circuit's transient response be (overdamped/underdamped)? Hence find the expressions for vo(t) and i(t) for t > 0? Note: In this problem, you may only submit numerical answers. (i.e. If 4 is the correct answer, 4 will be marked as correct, but 2+2 will be marked as incorrect.) Us ww R (a) R = 2.23606683457 (b) vo(t) = 19 i(t) = (1.69098 vo(t): (c) Response = Overdamped L + ΕΩ +(3.02493 +1.8905 to X. vo www exp R1 +-1.69098 t)exp(- 1.1180 t)exp(-1.1180 t) A 囲t)+ exp( t)V t)V

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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Incorrect v(0-) and bottom values
For the circuit below, the switch is closed for a long time before being open at to = 0. Let us = 19V, C = 0.8F, L = 1H and R1 = 9. Find: (a) Find the value of R to make the circuit critically damped. (b) Find the expressions for vo(t) and i(t) for t > 0 in the critically damped circuit. (c) If the value of resistance R is increased by 5, what will the circuit's transient response be (overdamped/underdamped)? Hence find the expressions for vo(t) and i(t) for t > 0? Note: In this problem, you may only submit numerical answers. (i.e. If 4 is the correct answer, 4 will be marked as correct, but 2+2 will be marked as incorrect.) V₂ (b) vo(t) (a) R 2.23606683457 R i(t) = (1.69098 vo(t)= = = 19 i(t) = 2 (c) Response = Overdamped +1.8905 + L mmmm exp( +(3.02493 n to x vo exp R1 + -1.69098 t)exp(-1.1180 t) + t)exp(-1.1180 t) A t) + exp exp( t) A t)V t)V
Transcribed Image Text:For the circuit below, the switch is closed for a long time before being open at to = 0. Let us = 19V, C = 0.8F, L = 1H and R1 = 9. Find: (a) Find the value of R to make the circuit critically damped. (b) Find the expressions for vo(t) and i(t) for t > 0 in the critically damped circuit. (c) If the value of resistance R is increased by 5, what will the circuit's transient response be (overdamped/underdamped)? Hence find the expressions for vo(t) and i(t) for t > 0? Note: In this problem, you may only submit numerical answers. (i.e. If 4 is the correct answer, 4 will be marked as correct, but 2+2 will be marked as incorrect.) V₂ (b) vo(t) (a) R 2.23606683457 R i(t) = (1.69098 vo(t)= = = 19 i(t) = 2 (c) Response = Overdamped +1.8905 + L mmmm exp( +(3.02493 n to x vo exp R1 + -1.69098 t)exp(-1.1180 t) + t)exp(-1.1180 t) A t) + exp exp( t) A t)V t)V
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