A particle carrying a charge equal to 100 times the charge on an electron is rotating one rotation per second in a circular path of radius 0.8 m . The value of magnetic field produced at the centre will be ( ₀= permeability of vacuum)

Step-by-step solution

Charged particle moving in a circular path acts like a current carrying coil. Let I be the current due to the particle current is, I= q t = 100 e 1 =100 e Magnetic field at the centre due to current carrying coil, aligned B _ centre & = ₀ 4 2 I r = ₀ 4 2 100 e r & = ₀ 4 2 100 (1.6 10⁻¹⁹ ) 0.8 =10⁻¹⁷ ₀ aligned