The discussion centers on the differentiation of the product of constants and variables in the context of electrical circuits, specifically focusing on the terms R(dI/dt) and I(dR/dt). It is established that R, L, and C are constants, and when differentiating with respect to time, only the variable I changes, leading to the correct term being R(dI/dt). The confusion arises from the treatment of I as a variable while R remains constant, emphasizing the importance of understanding the underlying physics of the problem.
PREREQUISITESStudents of physics and electrical engineering, educators teaching calculus and differential equations, and anyone seeking to understand the differentiation of variables in the context of electrical circuits.
L, R, and C are constants. You are differentiating with respect to time and the constants don't vary.Calpalned said:
Why did you ignore the template? You even went through the trouble to change the font color.Calpalned said:
I see... If I look at the original equation (1.2) has ##\frac{dI}{dt}## and that tells me that I is not a consant?LCKurtz said:
Actually, it helps to understand something of the physics behind this problem.Calpalned said:
The example was on differential equations in general, so the textbook didn't give me background information on the physics.SammyS said:
You could use the product rule, differentiating the product RI w.r.t. time. What result would you get?Calpalned said: