A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic field at the centre of the solenoid is:

μ0=4π×10-7 T m A-1

1.  3.4×10-4T

2.  6.28×10-5T

3.  3.14×10-5T

4.  6.28×10-4T

Subtopic:  Magnetic Field due to various cases |
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In a chamber, a uniform magnetic field of 6.5 G (1 G = 10–4 T) is maintained. An electron is shot into the field with a speed of 4.8 ×106 m s–1 normal to the field. the radius of the circular orbit is:
(
e = 1.6 × 10–19 C, me = 9.1×10–31 kg)

1 4.2 cm2 5.3 cm3 4.7 cm4 5.2 cm

Subtopic:  Lorentz Force |
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A circular coil of 30 turns and a radius of 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 60° with the normal of the coil. What will be the magnitude of the counter-torque that must be applied to prevent the coil from turning?

(1) 7.12 N m

(2) 3.13 N m

(3) 6.50 N m

(4) 4.44 N m

Subtopic:  Current Carrying Loop: Force & Torque |
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Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A, coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. The magnitude and direction of the net magnetic field due to the coils at their centre is:

1 2π×10-4 T East2 5π×10-4 T East3 5π×10-4 T West4 4π×10-4 T West

Subtopic:  Magnetic Field due to various cases |
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For a circular coil of radius R and N turns carrying current I, the magnitude of the magnetic field at a point on its axis at a distance x from its centre is given by, B=μ0IR2N2x2+R232

The magnetic field at the centre of the coil is:

1 μ0I NR2 2μ0I NR3 04 μ0I N2R

Subtopic:  Magnetic Field due to various cases |
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A closely wound solenoid of 2000 turns and area of cross-section as \(1.6\times10^{-4}\) m2carrying a current of 4.0 A, is suspended through its center allowing it to turn in a horizontal plane. The magnetic moment associated with the solenoid is:

1. 0.18 Am2
2. 3.24 Am2
3. 1.28 Am2
4. 0.38 Am2

Subtopic:  Magnetic Moment |
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A monoenergetic electron beam with an electron speed of 5.20 x 106 m/s is subject to a magnetic field of 1.30 x 10-4 T normal to the beam velocity. What is the radius of the circle traced by the beam, given e/m for electron equals 1.76 x 1011 C kg-1?

(1) 22.7 cm

(2) 21.3 cm

(3) 20.0 cm

(4) 21.9 cm

Subtopic:  Cyclotron |
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An electron gun with its collector at a potential of 100 V fires out electrons in a spherical bulb containing hydrogen gas at low pressure ~10-2 mm of Hg. A magnetic field of 2.83×10-4 T curves the path of the electrons in a circular orbit of radius 12.0 cm. (The path can be viewed because the gas ions in the path focus the beam by attracting electrons, and emitting light by electron capture; this method is known as the 'fine beam tube' method. Specific charge ratio (e/m) is:

1 1.21×1011 C kg-12 1.73×1011 C kg-13 2.53×1011 C kg-14 3.02×1011 C kg-1

Subtopic:  Cyclotron |
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A toroid has a core (non-ferromagnetic) of inner radius 25 cm and outer radius 26 cm, around which 3500 turns of a wire are wound. If the current in the wire is 11 A, the magnetic field inside the core of the toroid is:

1 3×10-2 T2 03 2×10-3 T4 1×10-2 T

Subtopic:  Magnetic Field due to various cases |
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An electron emitted by a heated cathode and accelerated through a potential difference of 2.0 kV, enters a region with a uniform magnetic field of 0.15 T. if the field is transverse to its initial velocity, the radius of the circular path is:

(1) 2.10 mm

(2) 0.11 mm

(3) 1.01 mm

(4) 0.12 mm

Subtopic:  Lorentz Force |
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