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qUESTIONS

A solenoid of length π m and 5 cm in diameter has winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its centre along the axis.

In a cyclotron protons are to be accelerated. Radius of its D is 60 cm. and its oscillator frequency is 10 MHz. What will be the kinetic energy of the proton thus accelerated? (Proton mass = 1.67 × 10-27 kg, e = 1.60 × 10-19 C, 1eV = 1.6 × 10-19 J)

A wire loop of the form shown in the figure carries a current I. Obtain the magnitude and direction of the magnetic field at P.

Figure shows a section of a very long cylindrical wire of diameter a, carrying a current I. The current density which is in the direction of the central axis of the wire varies linearly with radial distance r from the axis according to the relation J = J0 r/a. Obtain the magnetic field B inside the wire at a distance r from its centre.

Two long parallel wires going into the plane of the paper are separated by a distance R, and carry a current I each in the same direction. Show that the magnitude of the magnetic field at a point P equidistant from the wires and subtending angle θ from the plane containing the wires, is B = (μ0/π) (I/R)sin 2θ What is the direction of the magnetic field?

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