Moving Charges and Magnetism · Question 39

Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above other such that O is their common point for the two. The wires carry I1 and I2 currents, respectively. Point P is lying at distance d from O along a direction perpendicular to the plane containing the wires. The magnetic field at the point P will be

1. 02 d ( I1I2 )
2. 02 d (I1 + I2 )
3. 02 d (I12 - I22 )
4. 02 d (I12 + I22 )1/2

When a proton is released from rest in a room, it starts with an initial acceleration a0 towards west. When it is projected towards north with a speed v0 it moves with an initial acceleration 3a0 towards west. The electric and magnetic fields in the room are

1. ma0e east, 3ma0ev0 up
2. ma0e east, 3ma0ev0 down
3. ma0e west, 2ma0ev0 up
4. ma0e west, 2ma0ev0 down

A current loop in a magnetic field

1. can be in equilibrium in two orientations, both the equilibrium states are unstable.
2. can be in equilibrium in two orientations, one stable while the other is unstable.
3. experiences a torque whether the field is uniform or non uniform in all orientations.
4. can be in equilibrium in one orientation.

A long straight wire carries a certain current and produces a magnetic field 2 10-4 Wb m-2 at a perpendicular distance of 5 cm from the wire. An electron situated at 5 cm from the wire moves with a velocity 107 m/s towards the wire along perpendicular to it. The force experienced by the electron will be (charge on electron 1.6 10-19 C)

1. 3.2 N
2. 3.2 10-16 N
3. 1.6 10-16 N
4. zero

A circular coil ABCD carrying a current 'i' is placed in a uniform magnetic field. If the magnetic force on the segment AB is F, the force on the remaining segment BCDA is [figure]

1. - F
2. 3 F
3. -3 F
4. F

A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an -particle to describe a circle of same radius in the same field?

1. 2 MeV
2. 1 MeV
3. 0.5 MeV
4. 4 MeV

Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively. The resultant magnetic field induction at the centre will be

1. 5 0I2R
2. 5 0IR
3. 0I2R
4. 0IR

A millivoltmeter of 25 millivolt range is to be converted into an ammeter of 25 ampere range. The value (in ohm) of necessary shunt will be

1. 0.001
2. 0.01
3. 1
4. 0.05

An alternating electric field, of frequency , is applied across the dees (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by

1. B = m e and K = 2m 2 2R2
2. B = 2 e and K = m2 2
3. B = 2 e and K = 2m 2 2R2
4. B = m e and K = m2 2

A galvanometer of resistance, G, is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is

1. G(S+G)
2. S2(S+G)
3. ( SGS+G )
4. G2(S+G)