Magnitude of the resulting magnetic field

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Homework Help Overview

The discussion revolves around calculating the magnitude of the resulting magnetic field created by two long straight parallel wires carrying currents in opposite directions. The wires are separated by a distance of 20 cm, with one wire carrying 30 A and the other 40 A. The specific point of interest is located 15 cm from the 30 A wire and 25 cm from the 40 A wire.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to identify the point of interest and how to calculate the magnetic field from each wire, considering both magnitude and direction. There are questions about the appropriate equations to use and how to combine the fields from the two wires. Some participants also clarify the geometry of the problem, emphasizing the need to understand the spatial relationship between the point and the wires.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem setup. Some guidance has been offered regarding the use of trigonometry to find the point and the need to consider vector addition for the magnetic fields. However, there is no explicit consensus on the approach to take, particularly regarding whether to treat the point as a single location or multiple points.

Contextual Notes

Participants note that the point of interest is on a line perpendicular to the wires, and there is some confusion regarding the interpretation of the distances given in the problem. The assumption that the point is a single location is questioned, leading to further discussion about the implications of this assumption.

austin007
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2 long straight parallel wires separated by a distance of 20 cm carry currents of 30 A and 40 A in opposite directions. What is the magnitude of the resulting magnetic field at a point 15 cm frm the wire carrying the 30 A and 25 cm from the other wire?

How do I go about solving this problem?
 
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What is the equation that gives you the magnitude of the magnetic field due to a long wire? How do you find its direction? Start from there and add the two fields because there are two wires.

** Edit **
The assumption is that the point you are considering is on a line perpendicular to the wires.
 
First find the point that they are talking about (use a bit of trig). Then find the field from each current at that point (magnitude and direction). To find the resultant field, just add the contribution from each wire. (Add them as vectors, of course.)
 
It's 2 different points: one at 15 cm away from 30 A wire; the other at 25 cm away from 40 A wire.
The point does not coincides. Do I still add to get resultant or get 2 answers for 2 diff. points?
 
austin007 said:
It's 2 different points: one at 15 cm away from 30 A wire; the other at 25 cm away from 40 A wire.
The point does not coincides.
No, it's a single point. Otherwise the question makes no sense. :wink: (Hint: Draw circles of appropriate radius about each wire. See where they intersect.)
 

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