- #1

Davidllerenav

- 424

- 14

- Homework Statement
- Deduce the voltage and current as functions of time for the series RL circuit of Figure 1, from the moment the switch SW passes from position 1 to position 2. Explain how you find the value of the inductance Lp using the voltage curve at

the loading or unloading cycle of the coil.

- Relevant Equations
- Kirchhoff's laws.

##V_L=L\frac{dI}{dt}##

I already found ##I(t)## using Kirchhoff's laws, I got the equation ##V-RI-L\frac{dI}{dt}=0\Rightarrow L\frac{dI}{dt}=V-RI## then I solved the differential equation getting ##I(t)=\frac{V}{R}\left[1-e^{-\frac{R}{L}t}\right]##. My problem is founding the voltage as a function of time ##V(t)##, I don't know what to do.

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