A proton moves through a magnetic field at 20.3 % of the speed of light. At a location where the field has a magnitude of 0.00629 T and the proton's velocity makes an angle of 137 ∘ with the field, what is the magnitude of the magnetic force acting on the proton?

Respuesta :

Answer:

Force on the proton will be [tex].73\times 10^{-14}N[/tex]

Explanation:

We have given speed of proton is 20.3% of speed of light

Speed of light [tex]c=3\times 10^8m/sec[/tex]

So speed of proton [tex]v=\frac{3\times 10^8\times 23}{100}=6.9\times 10^7m/sec[/tex]

Magnetic field B = 0.00629 T

Charge on proton [tex]q=1.6\times 10^{-16}C[/tex]

Angle between velocity and magnetic field [tex]\Theta =137^{\circ}[/tex]

Force on the proton is equal to [tex]F=qvBsin\Theta =1.6\times 10^{-19}\times 6.9\times 10^7\times 0.00629\times sin(137^{\circ})=4.73\times 10^{-14}N[/tex]