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kupik [55]
3 years ago
8

What is a scientific theory?

Physics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

4 An explanation of how the natural world works

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You have a 1.8m long copper wire. You want to make an N-turn current loop that generates a 2.0mT magnetic field at the center wh
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Answer:

The diameter is  0.022m.

Explanation:

The magnetic field B at the center of the coil is given by

(1). B = \dfrac{\mu_0 NI}{d}

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Now, if we call L the length of the wire, then it must be true that

\pi dN = L <em>(this says </em>N<em> coil circumferences (</em>c=\pi d<em>) fit into </em>L<em> )</em>

\therefore N = \dfrac{L}{\pi d }

putting this into equation (1) we get:

B = \dfrac{\mu_0 IL }{\pi d^2}

solve for d:

\boxed{d = \sqrt{\dfrac{\mu_0I L }{\pi B} }}

putting in the numerical values

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I =1.3A

L= 1.8m

B =2.0*10^{-3}T

we get:

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\boxed{d = 0.022m}

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