A charged particle, attached to a string fixed at one point, is whirled in a horizontal circle on a frictionless table. If a magnetic field is switched on in the vertical direction, the tension in the string

Step-by-step solution

Initially, the tension in the string provides the necessary centripetal force for the circular motion of the charged particle. Let the mass of the particle be m , its speed be v , and the radius of the circle be r . The initial tension is given by: T₀ = mv^2 r When a vertical magnetic field B is switched on, a magnetic Lorentz force F _ m = q( v B ) acts on the particle. Since the velocity v is in the horizontal plane and B is vertical, the magnetic force will act along the radial direction (either towards the cent