Agroup of particles is traveling in a magnetic field of unknown magnitude and direction. you observe that a proton moving at 1.20 km/s in the +x-direction experiences a force of 2.10×10−16 n in the +y-direction, and an electron moving at 4.20 km/s in the −z-direction experiences a force of 8.40×10−16 n in the +y-direction. part a what is the magnitude of the magnetic field?

To find the magnitude of the magnetic field, we can use either the proton or the electron.

The magnetic force experienced by a charged particle moving in a magnetic field is:

where
q is the charge
v is the velocity of the particle
B is the magnitude of the magnetic field
is the angle between the direction of v and B.

Let's take the proton. The particle is moving in the x-direction, while the force is in the y-direction: for the right-hand rule, this means that the magnetic field B is in the z-direction, so v and B are perpendicular and , so  and we can ignore it in the formula.

Therefore, we have:

or

and since we know the force intensity, the velocity of the proton v and its charge (), we can find the magnitude of B:

The best answer is (a) which is universal law is in effect at all times. it is constantly at play in everything we do and governs our lives. it is also important to note that universal law applies to not only everything on earth, but everything in the universe as well, which is another reason why it is in effect at all times.