Question

the electron of hydrogen atom moves along circular path of radius 0.5 x 10 -10m (i) with a speed of 4 x 10 6 ms-1 (ii) with frequency 6.8 x 10 15Hz calculate the magnetic field produced at the center of the circular path . given e = 1.6 x 10 -19 C...

Answer 1

r = radius = 0.5 x 10⁻¹⁰ m

v = speed = 4 x 10⁶ m/s

f = frequency = 6.8 x 10¹⁵ Hz

q = magnitude of charge = 1.6 x 10⁻¹⁹ C

m = mass of electron = 9.1 x 10⁻³¹ kg

B = magnetic field = ?

frequency is given as

f = qB/(2πm)

6.8 x 10¹⁵ = (1.6 x 10⁻¹⁹) B/(2 (3.14) (9.1 x 10⁻³¹))

B = 2.43 x 10⁵ T