A cosmic ray proton moving toward the Earth at 5.00 10 m/s 7 × experiences a magnetic force of 1.70 10 N −16 × . What is the strength of the magnetic field if there is a 45° angle between it and the proton’s velocity?

Respuesta :

Answer:

Magnetic field will be equal to [tex]B=3\times 10^{-5}T[/tex]

Explanation:

We have given velocity of proton [tex]5\times 10^7m/sec[/tex]

Magnetic force experienced by proton [tex]F=1.7\times 10^{-16}N[/tex]

Charge on proton [tex]q=1.6\times 10^{-19}C[/tex]

Angle between field and velocity [tex]\Theta =45^{\circ}[/tex]

Force in magnetic field is equal to [tex]F=qBVsin\Theta[/tex]

So [tex]1.7\times 10^{-16}=1.6\times 10^{-19}\times 5\times 10^7\times B\times sin45^{\circ}[/tex]

[tex]B=3\times 10^{-5}T[/tex]

So magnetic field will be equal to [tex]B=3\times 10^{-5}T[/tex]