A tightly-wound, long solenoid has n turns per unit length, a radius r and carries a current i. A particle having charge q and mass m is projected from a point on the axis in a direction perpendicular to the axis. What can be the maximum speed for which the particle does not strike the solenoid?

There is one long solenoid with turns per unit length. The radius of the solenoid is R and current flowing through it is I. There is a charged particle having charge q and mass m projected from a point on axis of the solenoid, and in a direction perpendicular to the axis. Find the maximum possible speed with which the charged particle can be projected so as not to strike the solenoid.

The magnetic field on the axis of a long solenoid having n turns per unit length and carrying a current is

There is a long solenoid of radius 'R' having 'n' turns per unit length with current i flowing in it. A particle having charge 'q' and mass 'm' is projected with speed 'v' in the perpendicular direction of axis from a Point on its axis. Find maximum value of 'v' so that it will not collide with the solenoid.

A long solenoid has a radius a and number of turns per unit length is n . If it carries a current i, then the magnetic field on its axis is directly proportional to

A long solenoid has a radius a and number of turns per unit length is n . If it carries a current i, then the magnetic field on its axis is directly proportional to

A long solenoid has n turns per unit length and carries a current i = i_(0) sin omega t . A coil of N turns and area A is mounted inside the solenoid and is free to rotate about its diameter that is perpendicular to the axis of the solenoid. The coil rotates with angular speed omega and at time t = 0 the axis of the coil coincides with the axis of the solenoid as shown in figure. Write emf induced in the coil as function of time.

An infinite long solenoid having n turns per unit length is shown in figure. The magnetic field at P, when a current I is flowing through it would be

A tightly- wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n dx turns and may be approximated as a circular current I n dx. (a) Write the magnetic field at the centre of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the centre of the solenoid. (b) Verify that if lgtgta , the field tends to (B=(mu_0)ni) and if agtgt1 , the field tends to B= ((mu_0)nil/2a) . Interpret these results.