# Induced Voltage Formula

**Induced voltage** is produced as a product of electromagnetic induction. Electromagnetic induction is the procedure of producing **emf **(induced voltage) by exposing a conductor into a magnetic field. Induced voltage is described by making use of the Faraday’s law of induction. Induced voltage of a closed-circuit is described as the rate of change of magnetic flux through that closed circuit. Induced voltage formula is articulated as,

Where, ε is the induced voltage, ** N** is the total number of turns of the loop, Magnetic flux, ΦBΦB

**= B.A**, (B is the magnetic field and A is the area of the loop),

**is the time.**

*t*

**Induced Voltage Solved Examples**

Solved questions of induced voltage is provided below:

**Problem 1: **Consider a rectangular coil of 5 turns with a side length 0.5m. This coil reaches the magnetic field 0.3T within 10s. Compute the induced voltage?

**Answer:**

Known values are,

N = 5, l = 0.5m, B = 0.3T, dt = 10s

The formula for induced voltage is articulated as,

**Problem 2: **Imagine a circular loop of radius 0.05m and the magnetic field of 0.5T is attained by 8s. Compute the induced voltage if there are 10 number of turns?

**Answer:**

Given parameters are,

N = 10, r = 0.05m, B = 0.5T, dt = 8s

The formula for induced voltage is articulated by,