Two long, straight wires cross each other at right angles, as shown in the figur

Question

Two long, straight wires cross each other at right angles, as shown in the figure below.

Cant get this qeustion right. Please show me step by step how to approach this problem and the answers please. I'll rate lifesaver

The choice of directions are; out of the page, into the page, 31 clockwise from the x-direction, 59 clockwise from the x-direction, 59 counterclockwise from the x-direction, 59 counterclockwise from the -x direction

I ahve 3 hours left and this is the only problem im having trouble with.!! please help

Magnitude 1
The correct answer is not zero. T Direction 2 ---Select--- 31.0° clockwise from the +x direction 59.0° counterclockwise from the +x direction 59.0° clockwise from the +x direction 59.0° counterclockwise from the -x direction into the page out of the page

Explanation / Answer

a)

Since they are infinitely long wires, B=oi/2r

for the 5A wire, mag field is out of the page.

for 3A wire, mag field is into the page.

So total B=o/2*(5/0.4 - 3/0.3)

=o/2 (2.5)

=5x10-7 T out of the page

 

for b)

B because of 3A is towards +ve x axis,

B because of 5A is towards -ve y axis.

Therefore, net mag field is x2+y2 (where x and y are mag fields for respective wires)

=o/(2*0.315)25+9

=3.7x10-6 T

for direction, it's tan inverse of y/x

so tan inverse of (5/3)

=59 degrees, clockwise from +ve x

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