RL Circuit

RL Circuit R i Є L At t = 0 we close the switch up to put battery in series with L and R. What does Kirchhoff say?

Note that this equation is essentially the same as a charging capacitor: We make the replacements: Shortcuts Just as we did with RC circuits, we can answer many questions about RL circuits by looking at the t=0 and t∞ limits. At t=0, the inductor opposes the attempt to establish current (Lenz), acting like an open circuit, and thus i=0. As t∞, the inductor is just a piece of wire, and acts like a short circuit. Note that these “shortcuts” are the opposite to those of the RC circuits.

Integrating the differential equation just as we did in the RC case, we have: Note the consistency with the t=0 and t∞ limits. When the switch is thrown the other way, the battery is removed. Because the inductor opposes a change, the current will not stop immediately, but will decay.

i .63if t The “time constant” is defined as the time it takes a building inductor to reach 63% of its final value Exercise: How many time constants does it take a building inductor to reach 99.9% of its final value?

i .37i0 t For a decaying inductor, the time constant is the time it takes for the initial charge to drop to 37% of its initial value.

RL Circuit

RL Circuit

Presentation Transcript

RL Circuits

4.RL.1

3.RL.1

RL example

RL Circuits

Community RL

RL Circuit

RL 11

Reinforcement Learning (RL)

Key Concepts RC and RL circuit equations First-Order circuit step response

DC Response of an RL Circuit

RL.4.1.

First Order RL and RC Circuit

RL Circuits

RL Networks

RL SERIES

Rl.01

RL Max