# Inductor Voltage Calculator, Formula, Inductor Voltage Calculation

## Inductor Voltage Calculator:

Enter the values of inductance, L(H) and rate of change of current (di/dt)(A) to determine the value of voltage across an inductor, VI(V).

 Enter Inductance: H Enter Rate of Change of Current: A Result – Inductor Voltage : V

## Inductor Voltage Formula:

Inductor voltage calculation is pivotal in understanding the behaviour of inductors in electrical circuits, particularly in the context of transient response and AC analysis.

An inductor’s voltage is determined by the rate of change of current flowing through it, multiplied by its inductance.

This property is fundamental to the operation of filters, oscillators, and many types of switching power supplies.

Voltage across an inductor, VI(V) in volts is equal to the inductance, L(H) in Henry multiplied by the rate of change of current (di/dt)(A) in amperes per second.

Voltage, VI(V) = L(H) * (di/dt)(A)

VI(V) = inductor voltage in volts, V.

L(H) = inductance in Henry, H.

(di/dt)(A) = rate of change of current in amperes, A.

### Inductor Voltage Calculation:

1. Calculate the inductor voltage when the inductance is 0.5 henry and the rate of change of current is 20 amperes per second:

Given: L(H) = 0.5H, (di/dt)(A) = 20A.

Voltage, VI(V) = L(H) * (di/dt)(A)

VI(V) = 0.5 * 20

VI(V) = 10V.

1. Determine the inductance with voltage of 10V when the current changes at a rate of 100 amperes per second:

Given: VI(V) = 200V, (di/dt)(A) = 100A.

Voltage, VI(V) = L(H) * (di/dt)(A)

L(H) = VI(V) / (di/dt)(A)

L(H) = 200 / 100

L(H) = 2H.

### Applications and Considerations:

• Circuit Design: Crucial for engineers to determine inductive kickback in circuits and to design appropriate snubber circuits to mitigate these effects.
• Power Electronics: Inductor voltage calculation is essential in the design and analysis of converters and inverters.
• Telecommunications: Helps in the design of tunable filters and oscillators which are central to RF and communication circuits.