Magnetic Field Strength Calculation for a Solenoid with Given Parameters

AI Thread Summary
To calculate the magnetic field strength inside a solenoid, the formula B = (μ0)(n)(Io) is used, where μ0 is the permeability of free space, n is the number of turns per unit length, and Io is the current. For a solenoid with 241 turns, a length of 10 cm, and a current of 200 mA, the number of turns per unit length (n) is calculated as 2410 N/L. The user initially calculated B as 6.06E-4 T but questioned the accuracy of their result. There is a suggestion to confirm the value of μ0, as using μ0 = 4π(10^-7) could yield a slightly different result. The discussion emphasizes the importance of using the correct constants in magnetic field calculations.
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Homework Statement


A 10 cm long solenoid with 241 turns and radius R = 3.00 cm has a current flowing through it of Io = 200 mA. What is the magnetic field strength inside the solenoid (in T)?

The Attempt at a Solution


So i know i have to use the formula B = (uo)(n)(Io)

uo = a constant 1.257 x 10^-6
n = 241/.1 = 2410 N/L
Io = 200 mA or .2 A

So when plugging in B = (1.257x10^-6)(2410)(.2) = 6.06E-4
I am getting the wrong answer... can someone please tell me where i went wrong?
 
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I think it is correct. Are you sure you don't need to use μ0=4π(10-7)? Even though your answer would just change by a small number.
 

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