Continue to Site

Welcome to our site!

Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.

  • Welcome to our site! Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.

energy calculation question

Status
Not open for further replies.
They are just deriving the equation from a definite integral. In both situations the parameters are 0 to I. In the second case they are just using the time it takes to discharge from I which is theoretically infinity (notice the decay equation added in ) .
 
Last edited:
The derivation of the energy stored in an inductor does start out as an integral with respect to time. It then uses the relations among differentials to change variables.

(dU/dt)dt = dU and (dI/dt)dt = dI

That's just basic integral calculus. The change of variables permits the integration to be performed without knowing the specific form of I as a function of t and shows that the result is valid for all functions of t.

The second result is the calculation of the energy dissipated in a resistor during the exponential decay in an RL circuit. It's an independent calculation that demonstrates conservation of energy. The energy dissipated in the resistor during the decay is exactly equal to the energy that was stored in the inductor.
 
Last edited:
Status
Not open for further replies.

Latest threads

New Articles From Microcontroller Tips

Back
Top