## Related questions with answers

Question

A solenoid that is $72 \mathrm{~cm}$ long produces a magnetic field of $1.8 \mathrm{~T}$ within its core when it carries a current of $8.1 \mathrm{~A}$. How many turns of wire are contained in this solenoid?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2We use the equation (22-12)

$B=\dfrac{\mu_0 N I}{L}$

We invert this to find $N$

We get

$N=\dfrac{L B}{\mu_0 I}=\dfrac{(0.72\ \mathrm{m})(1.8\ \mathrm{T}))}{(4 \pi \cdot 10^{-7}\ \mathrm{Tm/A})(8.1\ \mathrm{A})}=\boxed{127324}$

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