The length of a wire forming a solenoid

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To find the length of the wire forming a solenoid, use the equation B = (Mu sub 0) * n * i, where Mu sub 0 is a constant. Given the solenoid's length of 1.33 m, diameter of 0.0260 m, and current of 17.8 A, the magnetic field inside is calculated to be 22.4 mT. The number of turns (n) can be determined from the magnetic field equation, and the circumference of each turn provides the necessary information to calculate the total wire length. The calculations confirm the correct answer was reached. Understanding these relationships is crucial for solving similar problems in electromagnetism.
Kristen716
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I need help! I am unsure of what to do.

A solenoid 1.33 m long and 0.0260 m in diameter carries a current of 17.8 A. The magnetic field inside the solenoid is 22.4 mT. Find the length of the wire forming the solenoid.

The only information I have is the equation B=(Mu sub 0)*n*i
Where Mu sub 0=4*pi*10^(-7) (T*m)/A
 
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If you can find the number of turns (n), and you know the circumference of each turn (given), then you know the length of the wire.

- Warren
 
Thank You! I got the right answer!
 

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