Please show full step by step solution for full rating A point particle of mass

Question

Please show full step by step solution for full rating

A point particle of mass m and charge q moving at velocity v0 enters a region of uniform magnetic field B at a right angle. What is the magnitude of the magnetic force on the particle? If vo is in the + x direction and B is in the + y direction, then the particle is initially deflected + y direction - y direction + z direction - z direction Explain your reasoning with a clearly drawn diagram that demonstrates the right hand rule . What is the acceleration of the particle in the magnetic field? Assume gravity is negligible. Assuming the particle makes a semicircular path and then exits the field region, how long is the article in the field region?

Explanation / Answer

a) F=q(vXB)

=qVoBsintheta

since thta=90

so F=qVob

so magnitude=qVoB

b)F=q(vXB)

=(i X j)

=k

so the answer is +z axis

c)force=qvB

ma=qVB

or a=qvB/m (along the positive z axis)

d)balancing centrifugal forces anf=d magnetic forces,

mw^2r=qwrB

or w=qB/m

so time=T/2

=2pi/(2w)

=pi/w

=pi*m/(q*B)

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