Determine the magnetic field strength

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To determine the magnetic field strength from two parallel wires carrying currents, the magnetic field for each wire must be calculated separately using the formula B = μ₀(I)/r. The challenge lies in understanding that magnetic fields are vector quantities, requiring vector addition when combining the fields from both wires. The distances from the point of interest to each wire are crucial for accurate calculations. A diagram can help visualize the direction of the magnetic fields and their resultant vector. Properly applying vector addition will yield the correct magnetic field strength at the specified point.
dsandhu
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I have racked my brain for the past two hours and I can't figure this out. If anyone can help me with, please do.

Two long parallel wires 6.00 cm apart carry 19.5 A currents in the same direction. Determine the magnetic field strength at a point 12.0 cm from one wire and 13.4 cm from the other. (Hint: Make a drawing in a plane containing the field lines, and recall the rules for vector addition.)

I found the magnetic field for each of the wires seperately using B = Mo(I)/ r

but I cannot understand what the "vectors" have to do with the problem.
 
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The magnetic field (just like the electric field) is a vector quantity; therefore when superposing two fields, you must use the rules of vector addition.

Check your text or Google for how to add vectors.
 

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