Two long, frictionless, conducting rails are separated by and joined at one end. A…

PHYSICS · Single correct · CBSE · Physics · Electromagnetic Induction · Electromagnetic Induction

Problem

Two long, frictionless, conducting rails are separated by

0.40\,\text{m}

and joined at one end. A conducting rod of negligible resistance is placed across the rails and pulled to the right with constant speed

5.0\,\text{m s}^{-1}

. A uniform magnetic field perpendicular to the plane of the rails varies with time according to

B(t)=0.20+0.10t

, where

B

is in tesla and

t

in seconds. If the rod starts from the junction at

t=0

, what is the magnitude of the total emf around the circuit at

t = 2.0\,\text{s}

? (a)

0.80\,\text{V}

(b)

1.20\,\text{V}

(c)

2.00\,\text{V}

(d)

1.60\,\text{V}