Question: in this problem you will be asked to calculate the...
Question details
In this problem, you will be asked to calculate the magnetic field due to a set of two wires with antiparallel currents as shown in the diagram (Figure 1) . Each of the wires carries a current of magnitude I. The current in wire 1 is directed out of the page and that in wire 2 is directed into the page. The distance between the wires is 2d. The x axis is perpendicular to the line connecting the wires and is equidistant from the wires.
As you answer the questions posed here, try to look for a pattern in your answers.
Part A
Which of the vectors best represents the direction of the magnetic field created at point K (see the diagram in the problem introduction) by wire 1 alone?
Enter the number of the vector with the appropriate direction.
3
Correct
Part B
Which of the vectors best represents the direction of the magnetic field created at point K by wire 2 alone?
Enter the number of the vector with the appropriate direction.
3
Correct
Part C
Which of these vectors best represents the direction of the net magnetic field created at point K by both wires?
Enter the number of the vector with the appropriate direction.
3
Correct
Part D
Find the magnitude of the magnetic field B1K created at point K by wire 1.
Express your answer in terms of I, d, and appropriate constants.
B1K = 
I?02?d 
Correct
Of course, B2K=B1K because point K is equidistant from the wires.
Part E
Find the magnitude of the net magnetic field BK created at point K by both wires.
Express your answer in terms of I, d, and appropriate constants.
BK = 
I?0?d 
Correct
This result is fairly obvious because of the symmetry of the problem: At point K, the two wires each contribute equally to the magnetic field. At points L and M you should also consider the symmetry of the problem. However, be careful! The vectors will add up in a more complex way.
Part F
Point L is located a distance d2? from the midpoint between the two wires. Find the magnitude of the magnetic field B1L created at point L by wire 1.
Express your answer in terms of I, d, and appropriate constants.
B1L = 
I?02?d3? 
Correct
Part G
Point L is located a distance d2? from the midpoint between the two wires. Find the magnitude of the net magnetic field BL created at point L by both wires.
Express your answer in terms of I, d, and appropriate constants.
BL = 
I?03?d 
Correct
Part H
Point M is located a distance 2d from the midpoint between the two wires. Find the magnitude of the magnetic field B1M created at point M by wire 1.
Express your answer in terms of I, d, and appropriate constants.


B1M= 
Part I
Find the magnitude of the net magnetic field BM created at point M by both wires.
Express your answer in terms of I, d, and appropriate constants.


BM= 