Calculating Magnetic Field at Point P for Perpendicular Current-Carrying Wires

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To calculate the magnetic field at point P due to two perpendicular current-carrying wires, one wire along the X-axis carries current I1, while the second wire parallel to the Z-axis carries current I2 downward. The magnetic field at point P, located at coordinates (0, 0, R), can be determined using the Biot-Savart law or Ampère's law. The Right-Hand Rule is essential for determining the direction of the magnetic field generated by each wire. Participants are encouraged to share their calculations and approaches to solving this problem. Clear understanding and application of these principles are crucial for accurate results.
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A wire coinciding with the X-axis carries a current I1 in the direction of increasing x. A second wire is parallel to the Z-axis at a distance R, and carries a current I2 in the downward direction as indicated in the figure. The magnetic field at point P (0, 0, R) is: (options and diagram in photo)
Captura de pantalla 2024-04-19 183411.png
 
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@Kartofen69420 -- Are you familiar with the "Right-Hand Rule" for the B-field generated by a current?
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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