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 ×${10}^{6}$ m s–1 normal to the field. the radius of the circular orbit is:
(
e = 1.6 × 10–19 C, ${m}_{e}$ = 9.1×10–31 kg)

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:

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, $B=\frac{{\mu }_{0}I{R}^{2}N}{2{\left({x}^{2}+{R}^{2}\right)}^{\frac{3}{2}}}$

The magnetic field at the centre of the coil is:

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:

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?

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:

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:

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?

Subtopic:  Magnetic Field due to various cases |
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