- #1
serverxeon
- 101
- 0
In a simple LC circuit,
How do i set up the differential equation?
Following Walter Lewin's teaching that
0) Use Maxwell-Faraday Equation instead of Kirchhoff Rule
1) if E field and dl are in the same direction, then I write a positive term.
2) There is no electric field in an inductor
3) Write the induced EMF on the right as -L dI/dt
In the image above, current will run clockwise, so I move my dl clockwise.
I'll arrive at the following equation.
-Vc = - L dI/dt
which is incorrect. The correct equation only has negative on either side.
What is wrong with my steps?
The steps has served me well for all other types of circuits.. Just LC which is giving me a problem
How do i set up the differential equation?
Following Walter Lewin's teaching that
0) Use Maxwell-Faraday Equation instead of Kirchhoff Rule
1) if E field and dl are in the same direction, then I write a positive term.
2) There is no electric field in an inductor
3) Write the induced EMF on the right as -L dI/dt
In the image above, current will run clockwise, so I move my dl clockwise.
I'll arrive at the following equation.
-Vc = - L dI/dt
which is incorrect. The correct equation only has negative on either side.
What is wrong with my steps?
The steps has served me well for all other types of circuits.. Just LC which is giving me a problem