Question
A right-angled triangle abc, made from a metallic wire, moves at a uniform speed v in its plane as shown in figure. A uniform magnetic field B exists in the perpendicular direction. Find the emf induced:
  1. In the loop abc.
  2. In the segment bc.
  3. In the segment ac.
  4. In the segment ab.

Answer


  1. Zero as the components of ab are exactly opposite to that of bc. So they cancel each other. Because velocity should be perpendicular to the length.
  2. e = Bv × l
= Bv(bc) + ve at C
  1. e = 0 as the velocity is not perpendicular to the length.
  2. e = Bv(bc) positive at ‘a’.
i.e. the component of ‘ab’ along the perpendicular direction.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A block slides down an inclined surface of inclination 30° with the horizontal. Starting from rest it covers 8m in the first two seconds. Find the coefficient of kinetic friction between the two.
Two inclined frictionless tracks, one gradual and the other steep meet at A from where two stones are allowed to slide down from rest, one on each track. Will the stones reach the bottom at the same time? Will they reach there with the same speed? Explain. Given $\theta_1= 300,\theta_2= 600 ,$ and h = 10m, what are the speeds and times taken by the two stones?
A fighter plane flying horizontally at an altitude of $1.5km$ with speed $720km/h$ passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed $600ms^{-1}$ to hit the plane? At what minimum altitude should the pilot fly the plane to avoid being hit? (Take $g = 10ms^{-2}$).
A torsional pendulum consists of a solid disc connected to a thin wire$\Big(\alpha=2.4\times10^{-5}\ ^\circ\text{C}^{-1}\Big)$at its centre. Find the percentage change in the time period between peak winter $(5^\circ C)$ and peak summer $(45^\circ C)$.
State Kepler's laws of planetary motion. What would be the speed of rotation of the earth in order that a body on the equator has no weight? Determine the apparent weights of the bodies situated at a latitude of $60°$ and at the poles. The radius of the earth = $6400km$ and $g = 9.8ms^{-1}$.
When a dielectric is placed in an electric field, it gets polarized. The electric field in a polarized material is less than the applied field. When a paramagnetic substance is kept in a magnetic field, the field in the substance is more than the applied field. Explain the reason of this opposite behaviour.
A thin circular loop of radius R rotates about its vertical diameter with an angular frequency $\omega.$ Show that a small bead on the wire loop remains at its lowermost point for $\omega\le\sqrt{\frac{\text{g}}{\text{R}}}.$ What is the angle made by the radius vector joining the centre to the bead with the vertical downward direction for $\omega=\sqrt{\frac{2\text{g}}{\text{R}}}?$ Neglect friction.
A cricketer can throw a ball to a maximum horizontal distance of 100m. How much high above the ground can the cricketer throw the same ball.
Though the law gives women equal status in India, many people hold unscientific views on a woman’s innate nature, capacity and intelligence, and in practice give them a secondary status and role. Demolish this view using scientific arguments, and by quoting examples of great women in science and other spheres; and persuade yourself and others that, given equal opportunity, women are on par with men.
A person is standing on a truck moving with a constant velocity of 14.7m/s on a horizontal road. The man throws a ball in such a way that it returns to the truck after the truck has moved 58.8m. Find the speed and the angle of projection:
  1. As seen from the truck.
  2. As seen from the road.