Jamie B.

asked • 01/04/17

magnetic forces

A thin, 10-cm long solenoid has a total of 400 turns of wire and carries a current of 2.0 A.
a) Calculate the field inside the solenoid, near the center using 𝐵= 𝜇𝑜𝑁l/𝐿.



b) Calculate the field inside the solenoid, near the center using 𝐵= 𝜇𝑜l.
 
I understand how to solve using the first method in part a. Can someone help me with part B 

Amos J.

Hello Jamie,
 
Yeah, the second part is pretty weird. The units don't even work out:
 
     B = μ0I
 
gives you T•m (Tesla-meters) on the right-hand side, which doesn't add up to the units on the left-hand side.
 
Are you sure it isn't supposed to read something like:
 
     B = μ0nI?
 
 
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01/04/17

Jamie B.

yes you are right. It should read  B = μ0nI. My book says that the answer for both is 1 X 10-2 T
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01/04/17

Arturo O.

Jamie,
 
What is the difference between parts (a) and (b)?  They are asking for the same thing, and the same formula applies.
 
B = μ0NI/L 
 
n = N/L
 
B = μ0In
 
B = (4π x 10-7 Tm/A)(2.0 A)(400 turns / 0.10 m) = 1 x 10-2 T
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01/04/17

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