## Five equal-mass particles (a-e enter a region of uniform magnetic field directed into the page. they follow the trajectories illustrated in

Question

Five equal-mass particles (a-e enter a region of uniform magnetic field directed into the page. they follow the trajectories illustrated in (figure 1 . part a which particle (if any is neutral?

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1. Particle D is neutral

### Further explanation

Magnetic fields can be generated by:n

• 1. a moving chargen
• 2. current elementn
• 3. straight electrical wiren
• 4. electrical wire coiledn

The charge of a moving electron experiences a magnetic force.n

The magnetic force (Lorentz) acting on a charge moving in a magnetic field is:n

### F = B i l sin u03b1n

F = magnetic force, Nn

B = magnetic induction, Wb / mu00b2

i = electric current, An

l = length of conductor, mn

u03b1 = angle between current and magnetic fieldn

The path traveled by the charge over time is proportional to velocity (v = l / t), while the current I = q/tn

so the magnetic force equation becomesn

### F = Bqv sin an

If we look at the picture, the particle enters the magnetic field perpendicularly so that the magnetic force functions as a centripetal forcen

F = Bqv sin 90 = m.ac (ac = centripetal acceleration)n

[tex]displaystyle Bqv=mfrac{v^2}{r}[/tex]

[tex]displaystyle r=frac{mv}{Bq}[/tex]

From this equation shows that the radius of the path of a particle is proportional to its linear velocityn

n

From the picture also shows that particle D is not deflected in a magnetic field, so that the path moves straight, so the magnetic force = 0, can also show neutral charged particles because there is no magnetic force acting on it

the average velocityn

brainly.com/question/5248528n

resultant velocityn

brainly.com/question/4945130n

velocity positionn

brainly.com/question/2005478n

Keywords: Centripetal force, linear velocity, magnetic force, Lorentz

2. We have particle A which is curved to the left-hand side.
Particles B is slowly bent to the right side.
Particle C curves towards the right side.
Particle D is perpendicularly straight.
The particle E bends towards the right side.
Therefore D is showing none deflection then it is the part D which is neutral