Answer:
(a) 112.5 V/m
(b) 0.01494 T
Explanation:
velocity, v = 4.5 km/s = 4500 m/s
magnetic field, B = 2.5 x 10^-2 T
mass, m = 6.64 x 10^-26 kg
charge, q = 1.6 x 10^-19 C = 1.6 x 10^-19 C
(a) The force due to the magnetic field is balanced by the force due to the electric field
q E = B q v
E = B v = 2.5 x 10^-2 x 4500 = 112.5 V/m
(b) radius, r = 12.5 cm
[tex]r = \frac{mv}{B'q}[/tex]
[tex]B' = \frac{mv}{qr}[/tex]
[tex]B' = \frac{6.64\times10^{-26}\times4500}{1.6\times 10^{-19}\times 0.125}[/tex]
B' = 0.01494 T