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A charged particle enters a uniform magnetic field with velocity vector at an angle of 45° with the magnetic field. The pitch of the helical path followed by the particle is p. The radius of the helix is given by p/nπ. The value of n is
The correct answer is: 2
A copper wire of diameter 1.6 mm carries a current i. The maximum magnetic field due to this wire is 5 × 10^{–3} T. The value of i is :
Maximum magnetic field is at surface and is given by
= 20A
The correct answer is: 20
The magnetic field at the centre of an equilateral triangular loop of side 2L and carrying a current i is given by
Find the value of n ____.
Magnetic field at O is
The correct answer is: 9
Ratio of magnetic field at the centre of a current carrying coil of radius R and at a distance of 3R on its axis is :
The desired ratio is
The correct answer is: 31.623
Same current i = 2A is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles ACD and CDE of side 1m. It is placed in uniform magnetic field B = 4T acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is :
∴ Net force on frame =
= (3) (2) (1) (4) (F = ilB)
= 24 N
The correct answer is: 24
Equal currents i = 1 A are flowing through the wires parallel to yaxis located at x = +1m, x = +2, x = +4m etc, but in opposite directions as shown. The magnetic field at origin (in units of tesla) will be :
The correct answer is: 1.33
A conducting ring of mass 2 kg and radius 0.5 m is placed on a smooth horizontal plane. The ring carries a current i = 4A. A horizontal magnetic field B = 10 T is switched on at time t = 0 as shown in figure. The initial angular acceleration (in rad/s^{2}) of the ring will be
Axis of rotation in along i.e., axis of rotation in the yaxis. Moment of inertia about which is
The correct answer is: 125.664
Two parallel wires carrying equal currents in opposite directions are placed at x = +a parallel to yaxis with z = 0. Magnetic field at origin O is B_{1} and at P (2a, 0, 0) is B_{2}. Then the ratio B_{1}/B_{2} is :
Case I : If the currents are in the directions shown in figure. Then
∴ B_{1}/B_{2} = –3
Case II : In the case
The correct answer is: 3
A particle of charge per unit mass α is released from origin with a velocity in a uniform magnetic field If the particle passes through (0, y, 0), then y is equal to The value of n is ____.
The correct answer is: 2
A charged particle is projected with velocity v_{0} along positive xaxis. The magnetic field B is directed along negative zaxis between x = 0 and x = L. The particle emerges out (at x = L) at an angle of 60° with the direction of projection. Find the velocity with which the same particle is projected (at x = 0) along positive xaxis so that when it emerges out (at x = L), the angle made by it is 30° with the direction of projection is nv_{0}. Find the value of n.
The correct answer is: 1.732
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