Question

An electron is accelerated from rest through 86 V and then enters a region of uniform magnetic induction of magnitude 1.5 T. What is the maximum value of the magnetic force the electron can experience?

[m_e = 9.11 × 10^-31 kg, e = 1.6 × 10^-19 C]

Answer 1

Data : V = 86 V, 

B = 1.5 T, 

m_e = 9.11 × 10^-31 kg, 

e = 1.6 × 10 C

Since the electron is accelerated from rest, the kinetic energy acquired by it is

The maximum value of the magnetic force on the electron is

F_m = evB

= (1.6 × 10^-19 C) (5.496 × 10⁶ m/s) (1.5 T)

= 1.319 × 10^-12 N or 1.319 pN