Calculating Magnetic Field Between Parallel Wires with Opposing Currents

AI Thread Summary
The discussion centers on calculating the magnetic field between two parallel wires carrying current. When both wires carry 10 A in the same direction, the magnetic field strength at the midpoint is zero due to cancellation. In contrast, if the currents run in opposite directions, the magnetic field strength is not clearly solvable without the distance between the wires. The textbook provides a numerical answer of 4.0 x 10^-4 T, leading to confusion about whether the problem is flawed or if additional information is needed. The mention of surface current density suggests an alternative approach to solving the problem.
Parth Dave
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I've been studying for my exam and came across this little problem.

Two parallel conductors each carry 10 A of current in the same direction.

a) What is the magnetic field strength at the midpoint between these wires?
b) What is the field strength at the same point if the current ran in opposite directions?

For a, the answer is zero. The magnetic fields will cancel out.

For part b, I don't see how you can solve the problem without being given the distance. The magnetic field strength of a straight conductor is a function of the distance away from it. However, the textbook has a numerical answer (4.0 x 10^-4 T). Is the textbook wrong or am I just missing something?
 
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if it is a surface current on a infinite large plate instead of current in a wire, this problem is soluvable...

ps. if it is the case, the problem sould give you surface current density =10A/m,
 
Alright, that's what I thought. Thx alot!
 
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