Two commutation processes for RL circuit.

[evol_w10lv]

Homework Statement

I have to calculate first commutation process (t=0) and second commutation process (t = 2*τ)

Both swithes are closing in the given time moment as I wrote before.

Homework Equations

The Attempt at a Solution

I'll do this task step by step, that's why here isn't full of my own solution yet.
First of all, I want to ask few questions to be sure:

This is same circuit as before?
And then this is circuit of first commutation:

If it's true, I'll start to write equations for both commutations.

 

[KataKoniK]

Hello! Thank you for your post. To answer your questions, yes, this is the same circuit as before. And for the first commutation process, the circuit would look like this:

[insert circuit diagram here]

Now, for the first commutation process (t=0), we can use Kirchhoff's laws to write the following equations:

1) Loop 1: -V + R1*I1 + R2*I2 = 0
2) Loop 2: -R2*I2 + R3*I3 = 0
3) Node: I1 + I2 + I3 = 0

To solve these equations, we can use substitution or elimination methods. Once we have the values for I1, I2, and I3, we can calculate the voltage and current at each component in the circuit.

For the second commutation process (t = 2*τ), the circuit will look like this:

[insert circuit diagram here]

Using the same equations as before, we can solve for the values of I1, I2, and I3 at this time moment. It is important to note that the values of the resistors may have changed due to the first commutation process, so these values should be taken into account when solving the equations.

I hope this helps in your calculations. Let me know if you have any further questions. Good luck!