Magnetic Fields

[Dorian Gray]

Greetings Mathematicians,

I was wondering if someone could please point out where I am going wrong in this problem
Consider the long, straight, current-carrying wires shown in the figure(Figure 1) . One wire carries a current of 6.2

in the positive y direction; the other wire carries a current of 4.5

in the positive x direction.

I attached a copy of my work







Any and all comments, help, suggestions, ideas, and thoughts are always much appreciated!
Thank you

 

[HallsofIvy]

What is the question you are trying to answer?

 

[DrPhil]

Greetings Mathematicians,

I was wondering if someone could please point out where I am going wrong in this problem
Consider the long, straight, current-carrying wires shown in the figure(Figure 1) . One wire carries a current of 6.2

in the positive y direction; the other wire carries a current of 4.5

in the positive x direction.

I attached a copy of my work

View attachment 2623


View attachment 2622


Any and all comments, help, suggestions, ideas, and thoughts are always much appreciated!
Thank you

Sorry this slipped past me - I had an idea for a shortcut while going to sleep, but forgot it in the morning.

Since r is a constant 16 cm = 0.16 m for all cases, You can add or subtract the two currents together. For point A, both contribute to an upward field, so let I_A = 10.7 A. At point B the field is downward, I_B = -1.7 A.

Your answers look correct.

 

[Dorian Gray]

Greetings Posters,

1.) I apologize for not posting the actual question. I apparently did not copy the entire part. It was two find "B" on the spots a and b

2.) Thank you for your confirmation HallsofIvy. I went ahead and submitted my work and it was correct, so thanks for verifying!

Thank you both for looking at my post!