I need help with the homework, i have the answers for them, but I still need com

Question

I need help with the homework, i have the answers for them, but I still need comlete explenations with details!! and drawing if possible

I'm posting most of them with the answers, and I need details steps how to get to the answers

Thanks!!!

The figure below is a crude model of an electromagnetic velocity filter. Ion source is typically a some kind of heater that produces ions with wide range of velocities. By applying both electric field and magnetic field, we can make a group of ions with only a narrow range of velocities to pass through the device. lons Ion out Source (a) Suppose the ion source produces Helium ion AKA, a-particle). To make some Helium ions travel straight, what should be the direction of magnetic field? Support your answer. B need to point out of page

Explanation / Answer

a)The magnetic force acting on a charged particle is perpendicular to both the velocity and magnetic field.

The velocity points towards right, The magnetic field pointing out can keep the force such that it remains undeflected.

So, B needs to point out of the page.

b)We know that

F(electric) = F(magnetic)

q E = q v B

v = E/B

E = V/d ; V = V - (-V) = 2V

v = 2V/d B

V = 2 x 1000 / 0.02 x 50 = 2000 m/s

Hence, v = 2000 m/s

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