An electron revolves in a circular orbit of radius r with angular speed ω . The magnetic field at the centre of electron orbit is

Step-by-step solution

Magnetic field at the centre of circular loop. B = μ 0 l 2 r         . . . i Period of revolution of electron, where ω = angular velocity of electron T = 2 π ω where, ω = angular velocity of electron. Current produced due to movement of electron, I = e T = e 2 π ω = e ω 2 π On substituting the value of I in Eq. (i), we get B = μ 0 2 r · e ω 2 π ⇒ B = μ 0 e ω 4 π r