Two very long straight conducting wires problem

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    Conducting Wires
AI Thread Summary
The problem involves calculating the magnetic field at point P due to two long conducting wires positioned in the z-plane. The magnetic field at point P is given as |B| = 4.782×10^-4 T, with components Bx and By specified. The direction of the current in wire 1 is determined to be -z (into the page), while wire 2's current is +z (out of the page). To find the magnitude of the currents in both wires, the formula Bwire = (μ*I)/(2πR) is used, where R represents the distance from point P to each wire. Clarification is sought regarding the calculation of R for each wire to complete the current magnitude calculations.
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Homework Statement



My picture won't upload but there is an x-y plane with point P at (5,4) and a vector shooting off from P in the SW direction. There are two wires pointing into the page (in the z plane) at (5,2) and (10,2).

Here is the actual problem:

Two very long straight conducting wires are perpendicular to the x-y plane. At point 'p', the magnetic field, shown on the figure below, is due to the currents in wires '1' and '2', with |B| = 4.782×10-4 T. Its components Bx= -4.470×10-4 T and By= -1.700×10-4 T.

I. Indicate the direction of the currents in the wires, +z (out of the page) or -z (into the page).

II. Calculate the magnitude of the current in wire2.

Homework Equations



III. Calculate the magnitude of the current in wire1.

The Attempt at a Solution



The current in wire 1 is in the -z direction and wire 2 is +z?
For the second part Bwire = (miu*I)/ (2*pi*R)
I'm especially unsure of what R would be... please help!
 
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Welcome to PF!

cate25 said:
For the second part Bwire = (miu*I)/ (2*pi*R)
I'm especially unsure of what R would be... please help!

Hi cate25! Welcome to PF! :smile:

Isn't R just the distance from P to each wire (so you'll need two equations, one for the field from each wire, and with different R's)?
 


tiny-tim said:
Hi cate25! Welcome to PF! :smile:

Isn't R just the distance from P to each wire (so you'll need two equations, one for the field from each wire, and with different R's)?

Thanks, tiny tim!
 
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