A rod `PQ` is connected to the capacitor plates. The rod is placed in a magnetic field `(B)` directed downwards perpendicular to the plane of the paper. If the rod is pulled out of magnetic field with velocity `vec(v)` as shown in Figure.

A wire is bent in the form of a V shape and placed in a horizontal plane.There exists a uniform magnetic field B perpendicular to the plane of the wire. A uniform conducting rod starts sliding over the V shaped wire with a constant speed v as shown in the figure. If the wire no resistance, the current in rod wil

A wire is bent in the form of a V shape and placed in a horizontal plane.There exists a uniform magnetic field B perpendicular to the plane of the wire. A uniform conducting rod starts sliding over the V shaped wire with a constant speed v as shown in the figure. If the wire no resistance, the current in rod wil

Two thick rods AB, CD are placed parallel to each other at a distance l . their ends are joined to a resistance R . A magnetic field of induction B is applied perpendicular to the plane contaning the rods. If the rods are vertical, the terminal uniform velocity of the rod PQ of mass m is given by

A conducting rod PQ of mass m and length l is placed on two long parallel (smooth and conducting) rails connected to a capacitor as shown. The rod PQ is connected to a non conducting spring of spring constant k , which is initially in relaxed state. The entire arrangement is placed in a magnetic feild perpendicular to the plane of figure. Neglect the resistance of the rails and rod. Now, the rod is imparted a velocity v_(0) towards right, then acceleration of the rod as a function of its displacement x given by

In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two conducing springs of spring constant k each. Upper end of springs are connected to each other by a capacitor of capacitance C. A uniform horizontal magnetic field (B_(0)) perpendicular to plane of springs in space initially rod is in equillibrium. If the rod is pulled down and released, it performs SHM. (Assume resistance of springs and rod are negligible) Find the period of oscillation of rod.

In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two conducing springs of spring constant k each. Upper end of springs are connected to each other by a capacitor of capacitance C. A uniform horizontal magnetic field (B_(0)) perpendicular to plane of springs in space initially rod is in equillibrium. If the rod is pulled down and released, it performs SHM. (Assume resistance of springs and rod are negligible) Find the period of oscillation of rod.

A rod AB moves with a uniform velocity v in a uniform magnetic field as shown in figure.

The potential difference across the ends of the rod moving with velocity v perpendicular magnetic field is