Magnetic field by a finite section of wire?

In summary, the conversation discusses the problem of finding the resultant field at the center of a circular section formed by two perpendicular straight wires joined in the ends of a semicircular loop. The user has solved for the magnetic field due to the semicircle, but is struggling to understand how to calculate the field for the two finite wires. They mention using an integral and angles of 0 and 90 degrees, but are unsure why 45 degrees is used. They ask for clarification and help.
  • #1
helpmeplz!
27
1
hey guys i have a question. i solved the problem but i don't understand how to do it.

Two perpendicular straight wires join in the ends of a semicircular loop of radius a = 11 cm, as shown in the figure above. If the current I =6 A, what is the resultant field at the center of the circular section?

http://gauss.vaniercollege.qc.ca/webwork2/NYBramakko/Magnetic_Field/6/?effectiveUser=0954278&displayMode=images&showOldAnswers=1&user=0954278&key=bIyLRnos5NmBC26Vl4DpQdlatGJalrsW

i know how to get the magnetic field due to the semi circle, but for the two finite wires, i know from the integral we get uo I/ 4piR (sin phi1 + sinphi2). But for me when i look at each section of wire, I see the angles going from 0 to 90 degrees, so phi one is 0 degrees and phi 2 is 90 degree. Doing that gives 0. But that is obviously not right. Why do we use 45 degrees i just don't understand it? Please anyone!
 
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  • #2
hi helpmeplease! :smile:

your picture is not visible (without logging in) :confused:

can you please explain the shape (particularly the 45°)? :wink:
 

FAQ: Magnetic field by a finite section of wire?

What is a magnetic field?

A magnetic field is a region in space where a magnetic force can be detected. It is created by moving electric charges and can be visualized as lines of force that form closed loops around the source of the field.

How is a magnetic field created by a finite section of wire?

A magnetic field is created by a finite section of wire when an electric current flows through it. The moving electric charges in the wire create a circular magnetic field around the wire, with the strength of the field increasing as the distance from the wire decreases.

What factors affect the strength of the magnetic field created by a finite section of wire?

The strength of the magnetic field created by a finite section of wire is affected by the amount of current flowing through the wire, the distance from the wire, and the orientation of the wire relative to the observer.

How can the direction of the magnetic field be determined in relation to the wire?

The direction of the magnetic field can be determined using the right-hand rule. If the thumb of your right hand points in the direction of the current flow, then the curled fingers will point in the direction of the magnetic field lines around the wire.

What are some real-world applications of magnetic fields created by finite sections of wire?

Magnetic fields created by finite sections of wire are used in many everyday devices, such as electric motors, generators, and speakers. They are also used in medical imaging techniques like MRI machines and in particle accelerators for scientific research.

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