# A 0.25 m long copper rod has a constant velocity of 0.40 m/s traveling through a uniform magnetic...

## Question:

A 0.25 m long copper rod has a constant velocity of 0.40 m/s traveling through a uniform magnetic field. of 0.050 T. The motion of the rod, the copper rod and the magnetic field are all perpendicular to each other. What is the potential difference induced across the length of the rod?

## Electromagnetic Induction:

When a conductor is moved through a magnetic field, it induces a potential difference (emf) in the conductor. This phenomenon is referred to as electromagnetic induction. The current produced in the conductor is called an induced current.

Given data:

Length of rod, l = 0.25 m

Velocity, v = 0.4 m/s

Magnetic field, B = 0.05 T

The potential difference in the copper rod is given by,

{eq}\displaystyle \epsilon = B*l*v {/eq}

where ε is the potential difference; B is the magnetic field; l is the length of the conductor; v is the velocity of the conductor

{eq}\displaystyle \epsilon = 0.05*0.25*0.4 \\ \epsilon = 0.005 \ V {/eq}