Calculating Current and Magnetic Field of Wire: Magnetism Question Solution

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Homework Help Overview

The problem involves determining the current and magnetic field generated by a vertical wire based on the deflection of a compass needle in the presence of both the Earth's magnetic field and the wire's magnetic field. The context is magnetism, specifically focusing on the interaction between magnetic fields and current-carrying conductors.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the components of the Earth's magnetic field and is seeking assistance in finding the magnetic field components produced by the wire. Some participants question the understanding of magnetic field lines around a wire and whether they were covered in class.

Discussion Status

The discussion is ongoing, with participants exploring the nature of magnetic fields and seeking clarification on the problem's requirements. There is no explicit consensus, but there is an exchange of ideas regarding the information provided and its implications for solving the problem.

Contextual Notes

The original poster notes that the problem was copied directly from a textbook, indicating potential constraints in the information available for solving the question. There is also mention of a lack of coverage on this specific type of question in class materials.

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Homework Statement



A compas needle points 20 degrees East of North outdoors. However, when it is placed 8cm to the east of a vertical wire inside a building, it points 55 degrees east of north. what is the magnitude and the direction of the current in the wire? the Earth's field is 5.0E-5 and is horizontal

Homework Equations



Sin=O/H Cos=A/H

B=UI/ 2(pi)R

The Attempt at a Solution



i solved for the horizontal and vertical components of the Earth's magnetic field and found the components for the x and y to be 4.56E-5 and 2.04E-5 respectively.

i am stuck on how to find the components for the magnetic field of the wire.

any help will be greatly appreciated
 
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What do the magnetic field lines around a wire look like?
 
there is no diagram, that is all the information given about the problem. i copied the problem word for word out of the book.
 
You didn't cover magnetic field lines in class? The book doesn't cover them in the section preceding the problem?
 
it does, but it doesn't cover this type of question.
 

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