How to Calculate the Length of Wire Needed for a Solenoid?

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In summary, the conversation discusses the design of a solenoid with a specific magnetic field and dimensions. The first question asks for the minimum number of turns per unit length, which was found to be 1350 m^-1. The second question asks for the total length of wire required, which can be calculated using the given dimensions and the number of turns per unit length. However, the exact equation to use is unclear.
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Homework Statement



A solenoid is designed to produce a magnetic field of 2.2 * 10^-2 t its center. It has a radius of 1.6 cm and a length of 44 cm, and the wire can carry a max current of 13 A.

The first question was what minimum number of turns per unit length must the solenoid have?

I found that to be 1350 m^-1

But the second question was what total length of wire is required?

Homework Equations



?

The Attempt at a Solution



I thought since I knew turns per unit length, current, and the magentic field that I could simply solve in reverse for this, but that's apparently not the case.

I figured that they were giving me the dimensions for something, but I'm not sure what equation to plug that into.

Any help would be greatly appreciated.
 
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  • #2
Radius of the solenoid is given. The length of one tern of the wire is the circumference of the solenoid. You have calculated the number of the terns per meter. From that find the length of the wire required to construct the solenoid of the given length
 

FAQ: How to Calculate the Length of Wire Needed for a Solenoid?

What is a solenoid?

A solenoid is a type of electromagnet that consists of a coil of wire wrapped around a metal core. When an electric current is passed through the coil, it creates a magnetic field that can be used to move or control objects.

How does a solenoid turn?

A solenoid turns by using the principle of electromagnetic induction. When an electric current is passed through the coil, it creates a magnetic field that interacts with the magnetic field of the metal core, causing the core to rotate.

What are some common applications of solenoids?

Solenoids have a wide range of applications in everyday devices such as door locks, car starters, and washing machines. They are also used in more complex systems such as industrial machinery, medical equipment, and aerospace technology.

How are solenoids controlled?

Solenoids can be controlled using a variety of methods, including manual switches, electronic circuits, and computer programming. The control method depends on the specific application and the desired level of precision and automation.

What factors affect the turning speed of a solenoid?

The turning speed of a solenoid can be affected by the strength of the electric current passing through the coil, the number of turns in the coil, and the strength of the magnetic field of the metal core. Other factors such as the size and shape of the solenoid can also play a role.

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