Question

(a) A nonferrous screwdriver is being used in a 2.00 Tmagnetic field. What maximum emf can be induced along its 12.0 cmlength when it moves at 6.00 m/s? (b) Is it likely that this emf will have any consequences or even be noticed?

Short answer

1. The emf induced is obtained as: 1.44 V .
2. The emf will barely have any consequences.

Step-by-step solution

Given Data

Length of screw driver is 12.0 cm.

Velocity of screwdriver is 6 m/s

magnetic field is 2.00 T

Define Electromagnetic Induction

Motion of conductor inside an external magnetic field results in the induction of an emf which will oppose the motion of conductor. This phenomenon was discovered by Michael Faraday in 1831 and was called Electromagnetic Induction.

Evaluating the emf included(a)1

The motional emf will be simply given by the equation:

$\epsilon =BLv$……………………(1)

The value of B is the magnetic field, the value of L is the length of the screwdriver, and the value of v is the velocity. Then, this yields a numerical value of:

$$\begin{gathered} \epsilon =\left(2.0T\right)\times \left(0.12m\right)\times \left(6m/s\right) \\ =1.44V \end{gathered}$$

Therefore, the emf induced is: 1.44 V

Explanation of part(b)

These kinds of emf are not likely to have any consequences, but then also It would even be hard to notice.

Therefore, emf of this magnitude will barely have any consequences and will be noticeable.