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,.
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
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≥0
a. Determine the numerical values, including signs, of a and w
b. If the initial conditions are iL(0) = 1A and Vc (0) =12V , determine the numerical values, including signs, of K1 and K2
c. Using the numbers determined above, write out the complete expression for iL(t)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
