Two straight long conductors AOB and COD are perpendicular to each other and carry currents i1 and i2. The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ACBD is
Two long wires are hanging freely. They are joined first in parallel and then in series and then are connected with a battery. In both cases, which type of force acts between the two wires
Attraction force when in parallel and repulsion force when in series
Repulsion force when in parallel and attraction force when in series
Repulsion force in both cases
Attraction force in both cases
Two coaxial solenoids 1 and 2 of the same length are set so that one is inside the other. The number of turns per unit length are n1 and n2. The currents i1 and i2 are flowing in opposite directions. The magnetic field inside the inner coil is zero. This is possible when
i1≠i2 and n1=n2
i1=i2 and n1≠n2
i1=i2 and n1=n2
i1n1=i2n2
H+, He+ and O++ ions having same kinetic energy pass through a region of space filled with uniform magnetic field B directed perpendicular to the velocity of ions. The masses of the ions H+, He+ and O++ are respectively in the ratio 1:4:16. As a result
H+ ions will be deflected most
O++ ions will be deflected least
He+ and O++ ions will suffer same deflection
All ions will suffer the same deflection
current carrying loop is placed in a uniform magnetic field in four different orientations, I,II, III & IV arrange them in the decreasing order of potential Energy
I.
I > III > II > IV
I > II >III > IV
I > IV > II > III
III > IV > I > II
An ionized gas contains both positive and negative ions. If it is subjected simultaneously to an electric field along the +x direction and a magnetic field along the +z direction, then
Positive ions deflect towards +y direction and negative ions towards -y direction
All ions deflect towards +y direction
All ions deflect towards -y direction
Positive ions deflect towards -y direction and negative ions towards +y direction
A thin circular wire carrying a current I has a magnetic moment M. The shape of the wire is changed to a square and it carries the same current. It will have a magnetic moment
M
A particle of mass m and charge q moves with a constant velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative z direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x>b is
A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on
ω and q
ω, q and m
q and m
ω and m
A long straight wire along the z-axis carries a current I in the negative z direction. The magnetic vector field at a point having coordinates (x, y) in the z = 0 plane is
A horizontal rod of mass 10 gm and length 10 cm is placed on a smooth plane inclined at an angle of 60 degree with the horizontal, with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction B is applied vertically downwards. If the current through the rod is 1.73 ampere, then the value of B for which the rod remains stationary on the inclined plane is
1.73 Tesla
1 / 1.73Tesla
1 Tesla
None of the above
A conducting loop carrying a current I is placed in a uniform magnetic field pointing into the plane of the paper as shown. The loop will have a tendency to
Contract
Expand
Move towards +ve x -axis
Move towards ?ve x-axis
A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. When a current I passes through the coil, the magnetic field at the centre is
A circular current–carrying coil has a radius R. The distance from the centre of the coil, on the axis, where B will be 1/8 of its value at the centre of the coil is
A cell is connected between the points A and C of a circular conductor ABCD of centre O with angle AOC=60^{o} If B1 and B2 are the magnitudes of the magnetic fields at O due to the currents in ABC and ADC respectively, the ratio B1/B2
0.2
6
1
5
A and B are two conductors carrying a current i in the same direction. x and y are two electron beams moving in the same direction
There will be repulsion between A and B attraction between x and y
There will be attraction between A and B, repulsion between x and y
There will be repulsion between A and B and also x and y
There will be attraction between A and B and also x and y
A wire of length L metre carrying a current of I ampere is bent in the form of a circle. Its magnitude of magnetic moment will be
A non-planar loop of conducting wire carrying a current I is placed as shown in the figure. Each of the straight sections of the loop is of length 2a. The magnetic field due to this loop at the point P (a,0,a) points in direction
1/√2(−j^+k^)
1/√3(−j^+k^+i^)
1/√3(i^+j^+k^)
1/√2(i^+k^)