Question

A charge Q is moving in a circle of radius r with speed v. Find magnetic field at centre of loop.

Answer 1

application of magnetic field at center of current carrying circular coil

Answer 2

A charge Q is moving in a circle of radius r with speed v. Then the magnetic field at centre of loop is μ₀qn/2R

• Suppose a ring anywhere around a cross-section of the presented circle. If the time of the revolution of the charged circle is T sec then charge q passes through the blue ring in time T sec. This constitutes a current I given by,

                   I=q/T = qnI

• From the formula for the magnetic field at the center of a current carrying loop can be used,

           B=μ₀I/2R

Therefore, the magnetic field at centre of loop is μ₀qn/2R