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

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Kartofen69420
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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?
 
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FAQ: Calculating Magnetic Field at Point P for Perpendicular Current-Carrying Wires

1. What is the formula for calculating the magnetic field at a point due to a current-carrying wire?

The magnetic field (B) at a distance (r) from a long straight current-carrying wire is given by Ampère's Law, which states: B = (μ₀ * I) / (2π * r), where μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A), and I is the current flowing through the wire.

2. How do I determine the direction of the magnetic field produced by a current-carrying wire?

The direction of the magnetic field can be determined using the right-hand rule. If you point your thumb in the direction of the current, your fingers will curl in the direction of the magnetic field lines around the wire.

3. How do I calculate the net magnetic field at a point due to two perpendicular wires carrying current?

To calculate the net magnetic field at a point due to two perpendicular wires, first calculate the magnetic field due to each wire at that point using the formula B = (μ₀ * I) / (2π * r). Then, since the fields are perpendicular, use the Pythagorean theorem to find the resultant magnetic field: B_net = √(B₁² + B₂²), where B₁ and B₂ are the magnetic fields due to each wire.

4. What happens to the magnetic field if the current in the wire is reversed?

If the current in the wire is reversed, the direction of the magnetic field produced by that wire will also reverse. This means that the magnetic field lines will point in the opposite direction, potentially affecting the net magnetic field at point P if there are other current-carrying wires present.

5. Does the distance from the wire affect the strength of the magnetic field?

Yes, the distance from the wire significantly affects the strength of the magnetic field. According to the formula B = (μ₀ * I) / (2π * r), the magnetic field strength is inversely proportional to the distance (r) from the wire. As the distance increases, the magnetic field strength decreases.

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