Biot-Savart law; Ampere's law; force on a moving charge in uniform magnetic and electric fields — Lorentz force; force on a current-carrying conductor; cyclotron; force between two parallel current-carrying conductors; torque on a current loop in magnetic field; moving coil galvanometer; bar magnet; magnetic dipole moment; earth's magnetic field; para-, dia- and ferromagnetism.
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Q1 · Magnetic Effects of Current and Magnetism · EASY
A straight wire carrying a current of 10 A is placed in a uniform magnetic field of 0.5 T. The wire is perpendicular to the magnetic field. What is the magnitude of force per unit length acting on the wire?
Q2 · Magnetic Effects of Current and Magnetism · MEDIUM
Two long parallel wires carry currents of 3 A and 4 A in the same direction and are separated by a distance of 2 cm. What is the force per unit length between the wires? (Given: μ₀/4π = 10⁻⁷ T·m/A)
Q3 · Magnetic Effects of Current and Magnetism · MEDIUM
A circular coil of 100 turns and radius 5 cm carries a current of 2 A. The coil is placed in a uniform magnetic field of 0.1 T such that the plane of the coil makes an angle of 30° with the direction of the field. What is the magnitude of the torque acting on the coil?
Q4 · Magnetic Effects of Current and Magnetism · MEDIUM
A proton moving with a velocity of 2 × 10⁶ m/s enters perpendicular to a uniform magnetic field of 0.5 T. What is the radius of the circular path followed by the proton? (Given: mass of proton = 1.67 × 10⁻²⁷ kg, charge of proton = 1.6 × 10⁻¹⁹ C)
Q5 · Magnetic Effects of Current and Magnetism · HARD
A moving coil galvanometer has a coil of 50 turns and area 10 cm². The magnetic field in which the coil is suspended is 0.02 T and the torsional constant of the spring is 10⁻⁶ N·m per degree. When a current of 1 mA passes through the galvanometer, what is the angular deflection produced?