JEE Main 2023 — Electromagnetic Induction Question with Solution

The emf induced in a rod moving through a magnetic field is given by Faraday's law of electromagnetic induction, specifically, in the form of motional emf, which states that:

$\text{emf}=B\cdot L\cdot v$

where:

• (B) is the magnetic field strength,
• (L) is the length of the rod, and
• (v) is the velocity of the rod.

In this case, we are given the emf, (B), and (L), and we need to solve for (v). Rearranging the equation gives:

$v=\frac{\text{emf}}{B\cdot L}$

Substituting the given values:

$v=\frac{0.08\text{V}}{0.4\text{T}\times 0.1\text{m}}=2\text{m/s}$