Electricity and Magnetism Answers

Two oscillations along the same line are
described by the equations
x1= 0.03 cos (10π t)
and x2= 0.03 cos (12π t)
Obtain the equation describing the resultant
motion due to superposition of these two
oscillations.

A proton a deuteron (nucleus of a deuterium atom) and an alpha particle having the same kinetic energy are moving in circular trajectories constant magnetic field. If our R1, R2 and R3 denote respectively the radius of trajectories of these particles then show the relationship between the three.

Two charged particles M and N enter a region of uniform magnetic field with velocity is perpendicular to the field. The parts of the particles as shown in the figure(N has a higher radius than M). The possible reason is,
(1) the charge M is greater than that of N
(2) the momentum of M is greater than that of N
(3) the charge to mass ratio of M is greater than that of N
(4) the speed of M is greater than that of N
(5) none of the above

An electron emitted from a hot filament is accelerated through potential difference of 2.88kV and enters a region of uniform magnetic field of 0.1T at an angle of 30°C with the field. The trajectory of the electron is,
(1) circle of radius 1.6 millimetre
(2)circle of radius 0.9 millimetre
(3) helix of radius 0.9 millimetre
(4) helix of radius 1.6 millimetre
(5) none of the above

A particle of mass 0.5g carries a charge of 2.5× 10^-8C. The particle is given an initial velocity of 6 ×10^4 ms^-1. To keep the particle moving in a horizontal direction,
(A) the magnetic field should be perpendicular to the direction of the velocity
(B)the magnetic field should be along the direction of velocity
(C)magnetic field should have a minimum value of 3.27 T
(D) no magnetic field is required Out of the above statements,
(1)only A is true
(2)only B is true
(3)only A and C are true
(4)only B and C are true
(5)Only D is true

A charged particle moves in a plane perpendicular to a magnetic field B. If it starts with some additional speed v parallel to B, the trajectory of the charged particle will be

the magnetic flow through a circuit increases evenly from 5.0wb to 6.8 wb of 2.4s. Calculate the induced voltage in the circuit.

The world’s most powerful electromagnet is capable of producing a magnetic field with a strength of 45 T. If an electron enters this field at a right angle with a speed of 7.5 × 106 m/s, what will be the magnetic force acting on the electron?

In which of one of the following materials is the skin depth is high
1)aluminium
2)gold
3)silver
4)graphite

For a plane electromagnetic wave propagating in conducting medium the average to Total energy density is
1)proportional to square of the electric field
2)proportional to electric field 3)proportional to magnetic field 4)inversely proportional to square of the electric field