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qUESTIONS

Textbook-Solutions-12th-MH

The region inside a current carrying toroid winding is filled with Aluminium having susceptibility χ=2.3×10^−5. What is the percentage increase in the magnetic field in the presence of Aluminium over that without it?

Textbook-Solutions-12th-MH

Calculate the gyromagnetic ratio of electron.

Textbook-Solutions-12th-MH

A bar magnet of moment of inertia of 500 g cm^2 makes 10 oscillation per minute in a horizontal plane. what is its magnetic moment if the horizontal component of Earth’s magnetic field is 0.36 gauss?

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?

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.

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.

A toroid of narrow radius of 10 cm has 1000 turns of wire. For a magnetic field of 5 × 10⁻² T along its axis, how much current is required to be passed through the wire?

A moving coil galvanometer has been fitted with a rectangular coil having 50 turns and dimensions 5 cm × 3 cm. The radial magnetic field in which the coil is suspended is of 0.05 Wb/m² . The torsional constant of the spring is 1.5 × 10⁻⁹ Nm/ degree. Obtain the current required to be passed through the galvanometer so as to produce a deflection of 30°.

For proton acceleration, a cyclotron is used in which a magnetic field of 1.4 Wb/m² is applied. Find the time period for reversing the electric field between the two Ds.

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