Solenoid

Two toroidal solenoids are wound around the same pipe so that the magnetic field of one passes through the turns of the other. Solenoid 1 has 700 turns and solenoid 2 has 400 turns. When the current in solenoid 1 is 6.52 A , the average flux through each turn of solenoid 2 is 0.0320 Wb . (a) What is the mutual inductance of the pair of solenoids? (b) When the current in solenoid 2 is 2.54 A , what is the average flux through each solenoid 1?

Statement I: An emf is induced ina long solenoid by a bar magnet that moves while totally inside the solenoid along axis of the solenoid. Statement II: as the magnet moves inside the solenoid the flux through turns of the solenoid changes.

Assertion: Intensity of magnetic field due to a solenoid near its ends is only half of its magnitude inside the solenoid. Reason: If solenoid is made very long then magnetic field inside the solenoid becomes uniform.

Asseration: An emf is induced in a along solenoid by a bar magnet that moves while totally inside it along the solenoid axis. Reason: As the magnet moves inside the solenoid the flux through individual turns of the solenoid changes.

Two solenoids, 'P' and 'Q' are taken. The coil in solenoid 'P' is wound over a wooden cylindrical core and the coil in solenoid 'Q' is wound over a soft iron core. In which solenoid is the magentic field stronger.

A long solenoid of radius 3cm , length I00cm carries a current of 4A . The total number of truns is 300 . Assuming ideal solenoid, find the flux passing through a circular surface having centre on axis of solenoid, (a) of radius 2cm and is perprndicular of the axis of solenoid (i) inside and (ii) at the end of solenoid (b) of radius 4cm and is perprndicular of the axis of solenoid (c) of radius greater than 3cm and angle between normal to area and axis of solenoid is 60^(@)C

Consider the following statements about a solenoid: 1. The magnetic field strength in a solenoid depends upon the number of turns per unit length in the solenoid. 2. The magnetic field strength in a solenoid depends upon the current flowing in the wire of the solenoid. 3. The magnetic field strength in a solenoid depends upon the diameter of the solenoid. Which of the statements given above are correct?