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Answer:
All of the statements are correct
Explanation:
Hello!
All of the statements are rigth. You can know this by examining the Lorentz Force:
a )
The dependence on the charge sign can be inferrend by the term q which is the particle's charge. If it changes sign, the force also does.
b)
Although we usually deal with constant magntic Fields, they could also be position dependent, for example the magnetic field of a wire. The fild of teh force will also inherit this position dependence, that is:
c)
d)
Again, from the equation of the force or Lorentz force, we can see that this statement is true.
d)
The validity of this statement is given by the cross product between the velocity (which points twoards the direction of motion of the particle) and the magnetic field