An electron moving at 4.40 ✕ 103 m/s in a 1.45 T magnetic field experiences a magnetic force of 1.40 ✕ 10−16 N. What angle does the velocity of the electron make with the magnetic field? There are two answers between 0° and 180°.

Respuesta :

Explanation:

Given that,

Speed of an electron, [tex]v=4.4\times 10^3\ m/s[/tex]

Magnetic field, B = 1.45 T

Magnetic force, [tex]F=1.4\times 10^{-16}\ N[/tex]

The magnetic force is given by in terms of charge, speed and magnetic field on which the charged particle is kept :

[tex]F=qvB\sin\theta\\\\\sin\theta=\dfrac{F}{qvB}\\\\\sin\theta=\dfrac{1.4\times 10^{-16}}{1.6\times 10^{-19}\times 4.4\times 10^3\times 1.45}\\\\\sin\theta=0.137\\\\\theta=7.88^{\circ}[/tex]

or

[tex]\theta=180-7.88=172.12^{\circ}[/tex]

Hence, this is the required solution.              

Answer:

Explanation:

Charge on electron, e = - 1.6 x 10^-19 C

Magnetic field, B = 1.45 T

Force, F = 1.4 x 10^-16 N

The formula for the magnetic force is given by

F = q x v x B x Sinθ

Where, θ is the angle between the velocity vector and the magnetic field vector.

1.4 x 10^-16 = - 1.6 x 10^-19 x 4.4 x 10^3 x 1.45 x Sinθ

Sin θ = - 0.1371

θ = 172°