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qUESTIONS

Example 10.3 Consider a square loop of wire loaded with a glass bulb of mass m hanging vertically, suspended in air with its one part in a uniform magnetic field B with its direction coming out of the plane of the paper . Due to the current I flowing through the loop, there is a magnetic force in upward direction. Calculate the current I in the loop for which the magnetic force would be exactly balanced by the force on mass m due to gravity.

Example 10.5 A wire has 2 straight sections and one arc as shown in the figure. Determine the direction and magnitude of the magnetic field produced at the center O of the semicircle by the three sections individually and the total.

Example 10.6 Consider a closely wound 1000 turn coil, having radius of l m. If a current of 10A passes through the coil, what will be the magnitude of the magnetic field at the centre?

Example 10.7 A coaxial cable consists of a central conducting core wire of radius a and a coaxial cylindrical outer conductor of radius b. The two conductors carry an equal current I in opposite directions in and out of the plane of the paper. What will be the magnitude of the magnetic field B for a r b and b r ? What will be its direction?

Example 10.8 A solenoid of length 25 cm has inner radius of 1 cm and is made up of 250 turns of copper wire. For a current of 3A in it, what will be the magnitude of the magnetic field inside the solenoid?

A piece of straight wire has mass 20 g and length 1m. It is to be levitated using a current of 1 A flowing through it and a perpendicular magnetic field B in a horizontal direction. What must be the magnetic of B?

Calculate the value of magnetic field at a distance of 2 cm from a very long straight wire carrying a current 5 A

4) An electron is moving with a speed of 3 × 10 6 m/s in a magnetic field of 6.00 × 10-4 T perpendicular to its path. What will be the radius of the path? What will be frequency and the kinetic energy in keV ?

Two wires shown in the figure are connected in a series circuit and the same amount of current of 10 A passes through both, but in apposite directions. Separation between the two wires is 8 mm. The length AB is S = 22 cm. Obtain the direction and magnitude of the magnetic field due to current in wire 2 on the section AB of wire 1. Also obtain the magnitude and direction of the force on wire 1. [µ0 = 4π × 10-7 T.m/A]

A very long straight wire carries a current 5.2 A. What is the magnitude of the magnetic field at a distance 3.1 cm from the wire?

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