Magnitude of magnetic field at distance from central axis

AI Thread Summary
The discussion revolves around calculating the magnetic field generated by a coaxial cable with an inner conductor carrying 4.4 A and an outer conductor carrying 6.9 A in the opposite direction. Participants emphasize the importance of understanding the context and applicability of the magnetic field equations rather than merely plugging values into formulas. The correct approach involves using the appropriate equations for cylindrical conductors, specifically considering the distances from the central axis. Clarification is sought on which formula to use for specific distances within and outside the cable. Ultimately, grasping the underlying principles of the equations is essential for solving the problem effectively.
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Homework Statement


A coaxial cable consists of an inner cylindrical conductor of radius R1 = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 = 0.080 m and outer radius R3 = 0.090 m. The inner conductor carries current I1 = 4.4 A in one direction, and the outer conductor carries current I2 = 6.9 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the cable?
(μ0 = 4π × 10-7 T · m/A)
(A) At r = 0.060 m (in the gap midway between the two conductors)
(B) At r = 0.150 m (outside the cable)

Homework Equations


1. B = (μ_0/(4pi))*(Q)*(v x r)/(r^2)
2. B = ((μ_0/(2pi))*(I)*(r^2 / R^3)

The Attempt at a Solution


I'm just really not sure how to solve this. Do I plug this in the 1st equation or the second? What is r (and R)? Is there a different equation I can use?
 
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qlzlahs said:
Do I plug this in the 1st equation or the second?
This right here is your problem. Physics is not about finding a formula to plug things in to. In order to learn you need to understand in which situations your formulae are applicable. So what do the formulae you quoted eescribe?
 
Orodruin said:
In order to learn you need to understand in which situations your formulae are applicable

Whoops. So I think I use this equation for magnetic fields in cylindrical conductors?:
B = (µ_0*I*r) / (2π*a^2), where a is the radius and r is the distance.
 
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