\[V_L=L\frac{di}{dt}\]
Variables
VLvoltage across the inductor (V)
Linductance (H)
dichange in current (A)
dttime interval (s)
Description
What is this formula?
This formula calculates the voltage generated across an inductor due to a changing electric current. The voltage is proportional to the inductance and the rate of current variation.
When to use it
Use this equation when analyzing inductors, RL circuits, switching electronics, electromagnetic transients, and energy storage systems.
Example
An inductor of 0.35 H experiences a current increase of 4 A in 0.02 s. Calculate the induced voltage.
Data:
L = 0.35 H
di = 4 A
dt = 0.02 s
Formula:
VL = L*(di/dt)
Substitution:
VL = 0.35*(4/0.02)
Result:
VL = 70 V
Applications
- RL circuit analysis
- Power electronics
- Transformers
- Electromagnetic energy storage
- Switching circuit design