Question

A straight vertical wire carries a current of 1.55A downward in a region between the poles of a large electromagnet where the field strength is 0.580T and is horizontal.

Part A: What are the direction of the magnetic force on a 1.00cm section of this wire if the magnetic-field direction is toward the east?

Part B: What are the magnitude of the magnetic force on a 1.00cm section of this wire if the magnetic-field direction is toward the east?

Part C: What are the direction of the magnetic force on a 1.00cm section of this wire if the magnetic-field direction is toward the south?

Part D: What are the magnitude of the magnetic force on a 1.00cm section of this wire if the magnetic-field direction is toward the south?

Part E:

What are the direction of the magnetic force on a 1.00cm section of this wire if the magnetic-field direction is 30.0o south of west ? Please, enter your answer as an angle's value north of west.

Part F: What are the magnitude of the magnetic force on a 1.00cm section of this wire if the magnetic-field direction is 30.0o south of west ?

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A straight, vertical wire carries a current of 1.12 A downward in a region between the poles of a large superconducting electromagnet, where the magnetic field has a magnitude of B = 0.593 T and is horizontal.
a) What is the magnitude of the magnetic force on a section of the wire with a length of 1.00 cm that is in this uniform magnetic field, if the magnetic field direction is east?
b) What is the direction of the magnetic force on a section of the wire with a length of 1.00 cm that is in this uniform magnetic field, if the magnetic field direction is east?
c) What is the magnitude of the magnetic force on a section of the wire with a length of 1.00 cm that is in this uniform magnetic field, if the magnetic field direction is south?

d) What is the direction of the magnetic force on a section of the wire with a length of 1.00 cm that is in this uniform magnetic field, if the magnetic field direction is south?
e) What is the magnitude of the magnetic force on a section of the wire with a length of 1.00 cm that is in this uniform magnetic field, if the magnetic field direction is 35.0 degrees south of west?
f) What angle will the magnetic force on this segment of wire make relative to the north, if the magnetic field direction is 35.0 degree south of west?

answer

given
I = 1.12 A
B = 0.593 T
L = 1.00 cm = 0.0100 m

a)
F = iLB
F = (1.12 A )(0.0100m)(0.593T)
F = 0.00664 N

b) by the right hand rule, F is directed south

c) same as a)
F = iLB
F = (1.12 A )(0.0100m)(0.593T)
F = 0.00664 N

d) by the right hand rule, F is directed west
i is into the page
B is south

e)
F = iLB sin 35
F = (1.12 A )(0.0100m)(0.593T)sin35
F = 3.81 x 10^-3 N

f)

i is into the page

B is 35 degrees south of west

F is 35 degrees west of north

noting that F and B are 90 degrees apart and are in the same plane since i is into the page