Question

A potential difference of 35 mV is developed across the ends of a 12.0-cm-long wire as it moves through a 0.27 T uniform magnetic field at a speed of 6.0 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?

Answer 1

Angle between magnetic field and wire velocity is
`10.372^(\circ)`

Step-by-step explanation:

We have given potential difference e = 35 mV = 0.035 volt

Length of the wire l = 12 cm = 0.12 m

Velocity v = 6 m/sec

Magnetic field B = 0.27 T

It is known that potential difference developed

`e=Bvlsin\Theta`

`0.035=0.27* 6* 0.12* sin\Theta`

`sin\Theta =0.18`

`\Theta =10.372^(\circ)`

So angle between magnetic field and wire velocity is
`10.372^(\circ)`