Find the magnetic field at the center

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Homework Help Overview

The problem involves calculating the magnetic field at the center of a half-circle wire carrying a current. The subject area pertains to electromagnetism, specifically the behavior of magnetic fields generated by current-carrying conductors.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the appropriate formula for calculating the magnetic field, noting that the original formula used may not apply to a curved wire. Questions arise regarding the angle (##θ##) in the context of the magnetic field calculation.

Discussion Status

The discussion is ongoing, with participants questioning the assumptions made about the formula used for a straight wire versus a curved wire. Some guidance has been offered regarding the correct approach to the problem, but no consensus has been reached on the final calculation.

Contextual Notes

There is a mention of the need to consider the geometry of the wire and how it affects the magnetic field calculation. The original poster expresses uncertainty about their calculations, indicating potential gaps in understanding the application of the formulas.

Fatima Hasan
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Homework Statement


A wire carrying current I=7A is shaped as half circle of radius R=0.2m.The magnetic field B(in μT) at the center is :
A)11.0(k)
B)7.9(k)
C)9.4(k)
D)6.3(k)
E)4.0(-k)

Homework Equations


B=(μ0 I)/(2πR)

The Attempt at a Solution


B = (4π*10-7 *7)/(0.2*2*π) * 0.5 (Multiply by 1/2 because the wire is shaped as half circle).
B = 3.5*10-6 T = 3.5μT
Could anyone tell me where is my mistake?
 
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The formua for B that you used is for a straight wire. This wire is not straight.
 
Gene Naden said:
The formua for B that you used is for a straight wire. This wire is not straight.
B = (μ*I)/(4*π*r) *θ ?
 
What is ##\theta## in your formula?
 
Gene Naden said:
What is ##\theta## in your formula?
B = (μ*I)/(2R) *0.5
= ( 4*10-7π *7)/(2*0.2) *0.5
= 10.99μT
=11 μT
 
Last edited:

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