Question

Okay, I need to derive four different forms of variables for anRL Circuit. The four variables consist of: I, V_R,V_L, V_T. Also, this is for a circuit which isclosed switch and current is still running through it.

So far, I have:

1.) I = I₀(1-e^-t/τ)

2.) V_R = IR = I₀(1-e^-t/τ)R =ε(1-e^-t/τ) R cancels out because I₀ is equal to ε/R

3.) V_L = ?

4.) V_T = ?

Okay, this is what I have thus far. Could someone please lookover formulas one and two for accuracy and also help me deriveformulas three and four? Thanks. Will give a "lifesaver"rating.