Question

At what speed must the sliding rod in Figure 23.11move to produce an emf of 1.00 Vin a 1.50 Tfield, given the rod’s length is 30.0 cm?

Short answer

The obtained speed is: 2.22 m/s.

Step-by-step solution

Given Data

Length of rod is 30.0 cm.

Induced emf is 1.00 V

magnetic field is 1.50 T

Define Electromagnetic Induction

The phenomenon in which there is a induction of electromotive force in the coil, either due to the motion of conductor in external magnetic field or due to the motion of magnet near a coil, is termed as Electromotive force. The induced emf exists only till the magnetic field keeps changing for the coil.

Evaluating the speed

The induced emf for this case has the equation,

$\epsilon =BLv$……………………(1)

Then, the equation (1) can be rearranged for speed will be:

$v=\frac{\epsilon }{BL}$……………………(2)

Substituting the given values in equation (2), we get:

$v=\frac{1.0V}{\left(1.5T\right)\times \left(0.3m\right)}$

Therefore, the speed is: 2.22 m/s .