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Magnetic Effects of Electric Current (Class 12)

Biot-Savart law, Ampere's law, force on a charged particle, cyclotron, solenoid.

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Q1 · Magnetic Effects of Electric Current (Class 12) · EASY
A long straight wire carries a steady current of 10 A. What is the magnitude of the magnetic field at a perpendicular distance of 5 cm from the wire? (Given: μ₀ = 4π × 10⁻⁷ T·m/A)
Q2 · Magnetic Effects of Electric Current (Class 12) · MEDIUM
A proton moves with a velocity of 2 × 10⁶ m/s 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)
Q3 · Magnetic Effects of Electric Current (Class 12) · HARD
A cyclotron is used to accelerate deuterons (mass = 3.34 × 10⁻²⁷ kg, charge = 1.6 × 10⁻¹⁹ C). If the magnetic field is 1.5 T and the maximum radius of the circular path is 0.5 m, what is the maximum kinetic energy attained by the deuteron?
Q4 · Magnetic Effects of Electric Current (Class 12) · MEDIUM
A circular coil of radius 10 cm with 200 turns carries a current of 2 A. The magnetic field at the center of the coil is (μ₀ = 4π × 10⁻⁷ T·m/A)