Determine Current in a Solenoid

In summary, the conversation discusses designing a solenoid to produce a uniform 0.170 T magnetic field. The necessary current needed is calculated using the equation B=μ0nI/2r, which is rearranged to get I=B2r/μ0n. However, the calculated current of 0.483 A was found to be incorrect and the length of the solenoid was included in the problem description. The solution was then found using flux.
  • #1
rmcgovern
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Homework Statement


As a new electrical technician, you are designing a large solenoid to produce a uniform 0.170 T magnetic field near the center of the solenoid. You have enough wire for 4200 circular turns. This solenoid must have a length of 1.10 m and a diameter of 1.50 cm. What current will you need to produce the necessary field?


Homework Equations


B=μ0nI/2r at the center of a solenoid


The Attempt at a Solution


I have rearranged the equation to get I=B2r/μ0n. I found the radius to be 7.5*10^-3 m (1/2 diameter) and n=4200 (# of turns). Plugging in the numbers I got a result of 0.483 A which is apparently incorrect. I am confused as to why the length of the solenoid was included in the problem description and am unclear as to where I may have gone wrong (having double checked the math). Does anyone have any suggestions?
 
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  • #2
Nevermind, figured it out using flux.
 

FAQ: Determine Current in a Solenoid

What is a solenoid?

A solenoid is a coil of wire that is used to generate a magnetic field when an electric current is passed through it. It is often used in electronic devices such as electromagnets, speakers, and motors.

How do you determine the current in a solenoid?

The current in a solenoid can be determined using the formula I = NΔϕ/Δt, where I is the current, N is the number of turns in the solenoid, Δϕ is the change in magnetic flux, and Δt is the change in time. The magnetic flux can be measured using a gaussmeter or by counting the number of magnetic field lines passing through a given area.

What factors affect the current in a solenoid?

The current in a solenoid is affected by the number of turns in the coil, the strength of the magnetic field, and the amount of time the current is applied. Additionally, the material of the core inside the solenoid can also affect the current as it can either enhance or resist the magnetic field.

How does the current in a solenoid affect the strength of the magnetic field?

The strength of the magnetic field in a solenoid is directly proportional to the current passing through it. This means that as the current increases, the magnetic field also increases. However, the strength of the magnetic field also depends on the number of turns in the solenoid and the material of the core.

Can the direction of the current in a solenoid be changed?

Yes, the direction of the current in a solenoid can be changed by reversing the polarity of the power source. This will cause the magnetic field to also change direction, resulting in a change in the direction of the force exerted by the solenoid.

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