Ranking Forces on a Charged Particle in Uniform Electric and Magnetic Fields

[vysero]

Homework Statement

The below region of space shown has uniform electric and/or magnetic fields, dependent on the conditions listed for cases A-G. Identical positively charged particles enters these regions with the same velocity.

Rank the magnitude of the force on the particle just after it enters these regions for cases A-G from greatest to least.

Homework Equations

F = qE + qv x B
F = qE
Fb = qvBsin(*)

The Attempt at a Solution

A) Since the particle is positive(+) I said there would be a force F namely ( ---> ) on the particle.

B) When only B is present there is no force on the particle, Fb = qvBsin(0) = 0. This is because both B and V are parallel.

C) Same as A: ( ---> )

D) Same as A: ( ---> )

E) Here the direction of the force changes but its magnitude remains the same so: ( <--- )

F) There is an upwards force in this case. However, its magnitude is the same as was in A.

G) I have this as being two forces on the particle so G is the largest.

Overall I ranked them as follows: G>A=C=D=E=F>B

Not sure if I did these correctly any help would be appreciated.

 

[Dick]

Homework Statement

The below region of space shown has uniform electric and/or magnetic fields, dependent on the conditions listed for cases A-G. Identical positively charged particles enters these regions with the same velocity.

Rank the magnitude of the force on the particle just after it enters these regions for cases A-G from greatest to least.

View attachment 80877

Homework Equations

F = qE + qv x B
F = qE
Fb = qvBsin(*)

The Attempt at a Solution

A) Since the particle is positive(+) I said there would be a force F namely ( ---> ) on the particle.

B) When only B is present there is no force on the particle, Fb = qvBsin(0) = 0. This is because both B and V are parallel.

C) Same as A: ( ---> )

D) Same as A: ( ---> )

E) Here the direction of the force changes but its magnitude remains the same so: ( <--- )

F) There is an upwards force in this case. However, its magnitude is the same as was in A.

G) I have this as being two forces on the particle so G is the largest.

Overall I ranked them as follows: G>A=C=D=E=F>B

Not sure if I did these correctly any help would be appreciated.

Sounds ok to me.

 

[vysero]

Sounds ok to me.

Wait... you mean I got it right.. like on my own ._. I think I will go have a drink!

 

[Dick]

Wait... you mean I got it right.. like on my own ._. I think I will go have a drink!

Sure, have a drink. I can't see anything wrong with your logic.