Moving Charges And Magnetism

An electron having momentum enters a region of uniform magnetic field of . The field vector makes an angle of with the initial velocity vector of the electron. The radius of the helical path of the electron in the field shall be

A closely wound solenoid long has layers of winding of turns each. The diameter of the solenoid is . If the current carried is , the magnitude of inside the solenoid near its centre will be

A planar coil having turns carries current. The coil is oriented with respect to the uniform magnetic field such that its directed area is . The potential energy of the coil in the given orientation is

A cyclotron is operated at an oscillator frequency of and has a dee radius . What is the magnitude of the magnetic field needed for a proton to be accelerated in the cyclotron ?

Four conductors carrying of current into or out of the page are shown in the diagram. path is indicated for the line integral . . Find the value of the integral for the path .

A triangular loop of side carries a current . It is placed in a magnetic field , such that the plane of the loop is in the direction of . The torque on the loop is

A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is . It is then bent into a circular coil of turns. The magnetic field at the centre of this coil of turns will be

A circular loop of area , carrying a current of is placed in a magnetic field of perpendicular to the plane of the loop. The torque on the loop due to the magnetic field is

An ion with a charge of is in a region where a uniform electric field of is perpendicular to a uniform magnetic field of . If its acceleration is zero, then its speed must be