BeginnerTopic 35 of 106Electrical Engineering
RL circuit transient
Current rises with time constant τ=L/R.
In depth
Current in an RL circuit rises as i=(V/R)(1-e^{-Rt/L}) with τ=L/R. When switching off, the stored energy must go somewhere, so flyback diodes protect transistors. The inductor voltage jumps to oppose the change.
Key points
- Inductor acts open at t=0, short at ∞
- Relay coil suppression
- Time constant L/R
ExampleA 1 H coil with 10 Ω has τ=0.1 s.
The RL circuit shows how inductance slows current rise, which matters for relay drives, coils and switching power stages.
What is RL circuit transient?
Current rises with time constant τ=L/R.
Why is it important to understand RL circuit transient?
The RL circuit shows how inductance slows current rise, which matters for relay drives, coils and switching power stages.
Why does current rise slowly in an RL circuit?
The inductor's induced voltage opposes the rising current, so the current approaches its final value with time constant L over R.
What happens when the switch opens?
The inductor produces a large voltage to keep the current flowing, which can damage switches, so a flyback diode or snubber is needed.
How is RL circuit transient used in practice?
Typical applications include estimating how quickly a relay coil energises, designing the snubber for an inductive load switched by a transistor and predicting the current rise in a motor winding at switch-on.
What should I learn before RL circuit transient?
Study "RC circuit transient" first (topic 34 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.
What are the key points of RL circuit transient?
Inductor acts open at t=0, short at ∞. Relay coil suppression. Time constant L/R.
Can you give an example of RL circuit transient?
A 1 H coil with 10 Ω has τ=0.1 s.
What comes after RL circuit transient?
The next topic is "RLC circuit response", which builds directly on this one.
How difficult is RL circuit transient?
It is classed as Beginner in Electrical Engineering (topic 35 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.