An electron emitted by a heated cathode and accelerated through a potential difference of 2.0 kV, enters a region with a uniform magnetic field of 0.15 T. Determine the trajectory of the electron if the field (a) is transverse to its initial velocity, (b) makes an angle of 30º with the initial velocity.
(a)Kinectic energy of electron = eV also, eV=21mv2 ⇒v=2eV/m−(1) also, BeV=mv2/r ⇒r=mV/Be using equation, (1),r=1 mm (b)θ=30o v1=vsinθ r1=mvsinθ/Be=0.5mm