A potential difference of 53 mV is developed across the ends of a 12.0-cm-longwire as it moves through a 0.27 T uniform magnetic field at a speed of 5.0 m/s. The magnetic field is perpendicular to the axis of the wire. What is the angle between the magnetic field and the wire’s velocity?

The angle between the magnetic field and the wire’s velocity is 19.08 degrees.                                            

Explanation:

Given that,

Potential difference, V = 53 mV

Length of the wire, l = 12 cm = 0.12 m

Magnetic field, B = 0.27 T

Speed of the wire, v = 5 m/s

Due to its motion, an emf is induced in the wire. It is given by :

Here,

is the angle between magnetic field and the wire’s velocity

So, the angle between the magnetic field and the wire’s velocity is 19.08 degrees.