- #1
Motocross9
- 12
- 4
- Homework Statement
- I wish to solve a system of differential equations; however, I am modeling a spark gap by using a step function. How could I solve? I'll provide the first equation below as an example:
- Relevant Equations
- ##V_ocos(\omega*t)=\dot Q_1R_1+(Q_2/C_1)(1-U(Q_2-C_1V_o))##
Honestly not sure how to go about this. Again this is one equation of 4 that I have. I considered using Laplace transforms but taking the Laplace transform of a step function whose argument is one of the variables being solved for doesn't seem possible. Also, if there is an alternative way to model a spark gap in a circuit, I would love to be informed of it. Thanks in advance!
(also ##Q_1## and ##Q_2## are the functions of time I wish to solve for)
(also ##Q_1## and ##Q_2## are the functions of time I wish to solve for)