A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction `vecB`. At the position MNQ, the speed of the ring is v. What is the potential difference developed across the ring at the position MNQ?

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction vecB as shown in the figure At the position PQR, the speed of the ring is v. Then, the potential difference developed across the ring is

A positively charged thin metal ring of radius R is fixed in the xy plane with its centre at the origin O. A negatively charged particle P is released from rest at the point (0, 0, z_0 ) where z_0gt0 . Then the motion of P is

A copper ring is suspended in a vertical plane by a thread. A steel bar is passed through the ring in a horizontal direction and then a magnet is similarly passed through. Will the motion of the bar and the magnet affect the position of the ring?

A metallic ring of mass m and radius l (ring being horizontal) is falling under gravity in a region having a magnetic field. If z is the vertical directoin, the z-component of magnitude field is B_z = B_0(1+lambda+lambdaz) . If R is the resistance of the ring and if the ring falls with a velocity v, find the energy lost in the resistacne. If the ring has reached a constant velocity, use the conversation of energy to determine v in terms of m, B, lambda and acceleration due to gravity g.

A magnetic field vecB is confined to a region r le a and points out of the paper (the z axis), r = 0 being the centre of the circular region. A charged ring (charge = Q) of radius b, b>a and mass m lies in the x-y plane with its centre at the origin. The ring is free to rotate and is at rest. the magnetic field is brought to zero in time Deltat . Find the angular velocity omega of the ring after the field vanishes.

A conducting rod of 1 m length is rotated with a frequency of 50 rev/s, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m, about an axis passing through the centre and perpendicular to the plane of the ring. A constant and uniform magnetic field of 1 T parallel to the axis is present everywhere. What is the emf between the centre and the metallic ring?

A circular ring of radius R with uniform positive charge density lambda per unit length is located in the y z plane with its center at the origin O. A particle of mass m and positive charge q is projected from that point p( - sqrt(3) R, 0,0) on the negative x - axis directly toward O, with initial speed V. Find the smallest (nonzero) value of the speed such that the particle does not return to P ?

A simple pendulum of length 1 and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makessmall oscillations in a radial direction about its equilibrium position, what will be its time period ?

Prove the result that the velocity v of translation of a rolling body (like a ring, disc, cylinder or sphere) at the bottom of an inclined plane of a height h is given by v^2=(2gh)/(1+k^2//R^2) using dynamical consideration (i.e. by consideration of forces and torques). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane.