A proton moving at 3.90 106 m/s through a magnetic field of magnitude 1.80 T experiences a magnetic force of magnitude 7.20 10-13 N. What is the angle between the proton's velocity and the field

Respuesta :

Answer:

[tex]\theta=40^0[/tex]

Explanation:

The magnitude of the magnetic force is

[tex]F_m=evB\sin\theta[/tex]

To find the angle, we make [tex]\sin\theta[/tex] subject of the formula

[tex]\implies \sin\theta=\frac{F_m}{evB}=\frac{7.20\times 10^{-13}}{1.6\times 10^{-19}\times 3.90\times 10^6\times 1.80}[/tex]

[tex]\implies \sin\theta=0.641025641[/tex]

[tex]\therefore \theta=\sin^{-1}=39.8683^0\\\implies \theta\approxeq 40^0[/tex]