Q. A conductor $ABOCD$ moves along its bisector with a velocity of $1\ m/s$ through a perpendicular magnetic field of $1\ wb/m^{2}$, as shown in fig. If all the four sides are of $1m$ length each, then the induced emf between points $A$ and $D$ is

A) 0
B) $1.41\ volt$
C) $0.71\ volt$
D) None of the above
Explanation

(b) There is no induced emf in the part $AB$ and $CD$ because they are moving along their length while emf induced between $B$ and $C\ i.e.,$ between $A$ and $D$ can be calculated as follows
[image:6_image75.png]
Induced emf between $B$ and $C =$ Induced emf between $A$ and $B = Bv\left( \sqrt{2}l \right) = 1 \times 1 \times 1 \times \sqrt{2} = 1.41\ volt$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.