A beam of protons is directed in a straight line along the positive zz ‑direction through a region of space in which there are crossed electric and magnetic fields. If the electric field magnitude is E=450E=450 V/m in the negative yy ‑direction and the protons move at a constant speed of v=7.9×105v=7.9×105 m/s, what must the direction and magnitude of the magnetic field be in order for the beam of protons to continue undeflected along its straight-line trajectory? Select the direction of the magnetic field BB .

The magnitude is

The direction is  the positive x axis

Explanation:

From the question we are told that

   The  electric field is  E = 450 V/m in the negative y ‑direction

   The speed of the proton is   in the positive z direction

Generally the overall force acting on  the proton is mathematical represented as

Now for the beam of protons to continue un-deflected along its straight-line trajectory then  

So

=>      

Generally from unit vector cross product vector multiplication

So the direction of  B (magnetic field must be in the positive x -axis )

So

=>    

=>            

=>        

=>      

=>        

speed

ratio of distance traveled to time interval

net force

vector sum of forces on object

object

source of diverging light rays either luminous or illuminated

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explanation:

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explanation:

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