Title: ECE 3810 First Order Circuit Transients
1ECE 3810 Fundamentals of Electrical Engineering
First Order Transient Response of RL and RC
Circuits
- First Order Transient Characteristics
- A single energy storage element, one C or one L
- Losses represented by one or more R
- Constant sources
- A switch that opens or closes at a given time t
- All linear components
2ECE 3810 Fundamentals of Electrical Engineering I
Transients
- The time-varying currents and voltages resulting
from the sudden application of sources, usually
due to switching, are called transients. - By writing circuit equations, we obtain
integrodifferential equations.
3ECE 3810 Fundamentals of Electrical Engineering
Series RL Circuit
4ECE 3810 Fundamentals of Electrical Engineering
Series RC Circuit
5ECE 3810 Fundamentals of Electrical Engineering
General First Order Differential Equation
Solution of First Order Differential Equation
6ECE 3810 Fundamentals of Electrical Engineering
Determination of constants in the solution
7ECE 3810 Fundamentals of Electrical Engineering
Determination of constants in the solution
8ECE 3810 Fundamentals of Electrical Engineering
Determination of constants in the solution
9ECE 3810 Fundamentals of Electrical Engineering
General forms of Differential Equation and
Solution
10ECE 3810 Fundamentals of Electrical Engineering
Series RL Circuit
11ECE 3810 Fundamentals of Electrical Engineering
Series RC Circuit
12ECE 3810 Fundamentals of Electrical Engineering
First Order Transient Response of RL and RC
Circuits
- Steps of Solution
- Find the time constant t (RC or L/R)
- Find the initial value of the voltage or current
- Find the final or steady state value of the
voltage or current - Substitute the values in the general form of the
solution