Inside a solenoid of radius 0.5 m , magnetic field is changing at a rate of 50 10⁻⁶ ~T / s . Acceleration of an electron placed at a distance of 0.3 m from axis of solenoid will be

Step-by-step solution

The changing magnetic field induce an electric field which will accelerate the electron. The acceleration of electron will be a= e E m [ F=q E] To find electric field E , we will use Faraday's electromagnetic induction. emf , = -d d t (B A) where, B is the magnetic field and A is the area of cross-section. =-A d B d t =- r^2 d B d t Now, electric field, E=- emf distance =- d = r^2 d d B d t Now, acceleration, a= e m r^2 d d B d t = 1.6 10⁻¹⁹ 9.1 10⁻³¹ 22 7 aligned & (0.5)^2 (0.3) 50 10⁻⁶ & =23 10^6 ~ms ⁻² aligned