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 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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A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil?

1 3.14×10-4 T2 2.12×10-4 T3 1.41×10-4 T4 2.01×10-4 T

Subtopic:  Magnetic Field due to various cases |
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A long straight wire carries a current of 35 A. The magnitude of the magnetic field at a point 20 cm from the wire is:

1  3.5×10-6 T2 3.5×10-5 T3  4.5×10-6 T4  4.5×10-5 T

Subtopic:  Magnetic Field due to various cases |
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A long straight wire in the horizontal plane carries a current of 50 A in the north to south direction. The magnitude and direction of the magnetic field at a point 2.5 m east of the wire is:

1 4×10-6 T vertically upward2  4×10-6 T vertically downward3  3×10-6 T vertically upward4  3×10-6 T vertically downward

Subtopic:  Magnetic Field due to various cases |
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A horizontal overhead power line carries a current of 90 A in the east to west direction. What is the magnitude and direction of the magnetic field due to the current 1.5 m below the line?

1  1.2×10-5 T towards north2  2.1×10-5 T towards south3 1.2×10-5 T towards south4  2.1×10-5 T towards north

Subtopic:  Magnetic Field due to various cases |
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