The circuit shown below is an underdamped system, and the current through the inductor has the form iL(t)=e^at ( ) (K1sinwt + K2coswt ) for t≥0a. Determine the numerical values, including signs, of a and wb. If the initial conditions are iL(0) = 1A and Vc (0) =12V , determine the numerical values, including signs, of K1 and K2c. Using the numbers determined above, write out the complete expression for iL(t) 6. The circuit shown below is an underdamped system, and the current through the inductor hasthe form i, (t) = e" (K, sin øt +K, cos ox) A for t2 0.5Ω2 H0.1 Fa. Determine the numerical values, including signs, of a and @.b. If the initial conditions are i, (0)=1A and ve (0)=12V , determine the numericalvalues, including signs, of K, and K,. Using the numbers determined above, write out the complete expression for i, (t).с.

First calculate the roots of the characteristics equation and than find alpha and W . Now using…

6. The circuit shown below is an underdamped system, and the current through the inductor has the form i, (t) = e“ (K, sin øx + K, cos ox ) A for t2 0. 2 H 0.1 F "() a. Determine the numerical values, including signs, of a and @. b. If the initial conditions are i, (0) =1A and ve (0)=12V , determine the numerical values, including signs, of K, and K,.

6. The circuit shown below is an underdamped system, and the current through the inductor has the form i, (t) = e“ (K, sin øx + K, cos ox ) A for t2 0. 2 H 0.1 F "() a. Determine the numerical values, including signs, of a and @. b. If the initial conditions are i, (0) =1A and ve (0)=12V , determine the numerical values, including signs, of K, and K,.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter20: Capacitance In Ac Circuits

Section: Chapter Questions

Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...

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