# Induced Voltage Formula

## Induced Voltage Formula

When a conductor is placed in a specific location, the magnetic field either changes or stays stationary while the conductor moves. This process is known as electromagnetic induction. The consequence is what is known as the Induced Voltage Formula, which is a voltage or electromotive force across the electrical conductor. Faraday’s law of induction explains the idea of the induced voltage. According to the law, the rate at which the magnetic flux changes over time in a closed circuit results in induced voltage.

### What is Induced Voltage?

The rate at which the magnetic flux changes within a closed circuit determines the voltage that is induced therein. Electromagnetic induction is critical in the generation of the induced voltage. It is the process of inducing emf (induced voltage) in a conductor by subjecting it to a magnetic field.

Faraday’s law of induction is used to describe induced voltage. It is inversely proportional to the loop’s cross-section, magnetic field, and coil’s number of turns. It shifts in the other direction as time passes.

The sign denotes Induced Voltage. Volts are the SI unit of Induced Voltage (V). The Induced Voltage Formula has the dimensional formula. The Induced Voltage Formula in natural and man-made materials is carefully designed in a variety of disciplines, with necessary safety and equipment protection in place.

### Induced Voltage Formula

The induced voltage can be calculated using the following formula: ε = N × dΦ/dt, where ε is the induced voltage, N is the number of coil turns, d is the magnetic flux, and dt is the time taken. The relationship between induced voltage and magnetic flux is another name for the aforementioned formula.

### Sample Problems

Problem 1: Find the induced voltage of a coil of 20 turns if flux is 5 Tm2 for 10 s.

Solution: We have,

N = 20

dt = 10

Using the formula we have,

ε = N × dΦ/dt

= 20 × 5/10

= 10 V