JEE 2020 Revision: Moving Charges and Magnetism

A charged particle is accelerated through a potential difference of 12 kV and acquires a speed of 1.0 × 10⁶ m/s. It is then injected perpendicularly into a magnetic field of strength 0.2 T. Find the radius of the circle described by it.

A particle having charge of 1 C, mass 1 kg and speed 1 m/s enters a uniform magnetic field, having magnetic induction of 1 T, at an angle θ = 30° between velocity vector and magnetic induction. The pitch of its helical path is (in meters)

An electron is moving along positive x-axis. A uniform electric field exists towards negative y-axis. What should be the direction of magnetic field of suitable magnitude so that net force of electron is zero.

A solenoid has an inductance of 10 henry and a resistance of 2Ω. It is connected to a 10 V battery. Time it takes for the magnetic energy to reach (1/4)^th of its maximum value is approximately

An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and distance of its centre from the wire is d (d »a). If the loop applies a force F on the wire then :