How do you find the B field between finite wires?

In summary, the B field, or magnetic field, is a vector field that describes the force experienced by a moving charged particle. When referring to finite wires, it is the magnetic field created by wires with a finite length and carrying an electric current. The B field between finite wires can be calculated using the Biot-Savart law or simplified using the right-hand rule and vector addition. Factors such as current magnitude, wire distance, and shape/orientation can affect the strength of the B field. The direction of the current also determines the direction of the B field, following the right-hand rule. Understanding the B field between finite wires is crucial in the design of electromagnets, motors, generators, and medical imaging technology. It also
  • #1
Frostfire
50
0
I know the results for infinite, but how about finite? And where is the cutoff with the aproximation of infinite? I've heard the value 10% tossed around is that right?
 
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  • #2
if u have used bio savart law to find the field of an infinite wire, u wud have integrated along the comple length (infinite) of the wire.
now just integrate along the finite ength of the wire
 

1. What is a B field between finite wires?

The B field, or magnetic field, is a vector field that describes the magnetic force experienced by a moving charged particle. In the case of finite wires, the B field refers to the magnetic field created by two or more wires with a finite length and carrying an electric current.

2. How is the B field between finite wires calculated?

The B field between finite wires can be calculated using the Biot-Savart law, which states that the magnetic field at a point is directly proportional to the current flowing through the wire and inversely proportional to the distance from the wire. This calculation can also be simplified using the right-hand rule and vector addition.

3. What factors affect the strength of the B field between finite wires?

The strength of the B field between finite wires is affected by several factors, including the magnitude of the current in the wires, the distance between the wires, and the shape and orientation of the wires. Additionally, the B field may be affected by external magnetic fields or other nearby conductors.

4. How does the direction of the current in the wires affect the B field?

The direction of the current in the wires plays a crucial role in determining the direction of the B field. According to the right-hand rule, the B field will form a circular pattern around the wire, with the direction of the field being perpendicular to the direction of the current flow. Reversing the direction of the current will also reverse the direction of the B field.

5. What are some practical applications of understanding the B field between finite wires?

Understanding the B field between finite wires has many practical applications, including in the design of electromagnets, motors, and generators. It is also essential in the field of medical imaging, as magnetic fields are used in MRI machines. Additionally, understanding the B field is crucial in the study of electromagnetism and its role in various natural phenomena.

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