Question

The 12.0 cm long rod in Figure 23.11moves at 4.00 m/s. What is the strength of the magnetic field if a 95.0 Vemf is induced?

Short answer

The field strength is 198 T.

Step-by-step solution

Given Data

Length of rod (L) is 12.0 cm .

Induced emf ($\epsilon$) is 95.0 V

Velocity of rod (v) is 4.00 m/s

Define Electromagnetic Induction

The induction of an electromotive force across an electrical conductor when placed in an ever-changing magnetic field is known as electromagnetic or magnetic induction. Induction was first discovered in 1831by Michael Faraday.

Evaluating the strength of the magnetic field

The induced emf for this case has the equation,

$\epsilon =BLv$……………………(1)

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

$B=\frac{\epsilon }{vL}$……………………(2)

Applying the numerical values, we get:

$$\begin{gathered} B=\frac{95V}{0.12m\times 4m/s} \\ =198T \end{gathered}$$

Therefore, the strength of the field is: 198 T .