Question

A wire of length 10 cm translates in a direction making an angle of 60° with its length. The plane of motion is perpendicular to a uniform magnetic field of 1.0 T that exists in the space. Find the emf induced between the ends of the rod if the speed of translation is 20 cm s−1.

Answer 1

Electromotive Force is Product of Magnetic Field, Velocity and Length

Explanation:

ℓ = 10cm = 0.1m ;  

$\theta = 60$ ; B = 1T  

V = $20\ cms^-^1 = 0.2\ ms^-^1$

E = Bvℓ sin60°  

[As we have to take that component of length vector which is ⊥ to the velocity vector]  

= $1 \times 0.2 \times 0.1 \times \sqrt \frac {3}{2}$  

= $1.732 \times 10^-^2$

= $17.32 \times 10^-^3 V.$