A long conductor of charge q , with chare density (`lamda`) is moving with a velocity 2V parallel to its own axis . The convectional current due to motion of conductor is

One long conductor carries current I along y-axis with charge density lambda . An electric field exists along z-axis. In what direction, a charged particle at point P, distance x apart from the wire (along x-axis), be projected with velocity v so that it moves undeflected?

A rod having length l and resistance R is moving with velocity v on a pi shape conductor. Find the current in the rod.

If n,e,A and v_(d) are free electron density inside conductor , charge of electron , area of cross-section of conductor and drift velocity of free electrons inside conductor, then current l through the conductor is

Two straight long parallel conductors are moved towards each other. A constant current i is flowing through one of them. What is the direction of the current induced in other conductor ? What is the direction of induced current when the conductors are drawn apart.

A small square loop of edge a and resistance R is moved with velocity v_(0) away from an infinitely long current carrying conductor carrying current I so that the conductor and side of square are always in same plane. Find induced current in loop at a separation of r

Figure below shows a point p near a long conductor XY carrying a current I. MN is a short current carrying conductor, kept at the point P, parallel to the conductor XY. (i) What is the direction of magnetic flux density .B. at the point P due to the current flowing through XY ? (ii) What is the direction of the force experienced by the conductor MN due to the current flowing through XY?

A ring of mass m and radius R is given a charge q. It is then rotated about its axis with angular velocity omega .Find (i)Current produced due to motion of ring

Two long concetric cylindrical conductors of radii a and b (b lt a) are maintained at a potential difference V and carry equal and opposite currents l. Show that an electron with a particular velocity u parallel to the axis may travel underivated in the evacuated region between the conductors, and calculate u when a = 50 mm, b = 2.0 mm, V = 50 V and l = 100 A. It is also possible for the electron to travel in a helical path. By regarding such a path as the combination of a circular motion perpendicular to the axis with a steady velocity parallel to the axis, indicate without detailed mathematics how this comes about.

Two infinitely long conducting parallel rails are connected through a capacitor C as shown in Fig. A conductor of length l is moved with constant speed v_(0) . Which of the following graph truly depicts the variation of current through the conductor with time?

Answer the following: (a) State Gauss' law. Using this law, obtain the expression for the electric field due to an infinitely long straight conductor of linear charge density lamda . (b) A wire AB of length L has linear charge density lamda = kx , where x is measured from the end A of the wire. This wire is enclosed by a Gaussian hollow surface. Find the expression for the electric flux through this surface.