Question

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.

 

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.

 

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.

 

 

Part D

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 E

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=