Question

A straight conducting rod of length $2\text{m}$ is moved with a speed of $2\text{m/s}$ in a uniform magnetic field of magnitude $10\text{T}.$ The maximum induced emf across the ends of the rod can be

$[$0.77 Mark$]$

• A. $10\text{V}$
• B. $20\text{V}$
• C. $40\text{V}$
• D. $56\text{V}$

Answer 1

The correct option is C $40\text{V}$

As we know that, emf,

$E={\int }_a^b(\overrightarrow{v}\times \overrightarrow{B})\cdot \overrightarrow{dl}$

$\Rightarrow E_{max}=Bvl=10\times 2\times 2=40\text{V}$