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3 years ago

9

Just like other scientists and philosophers of his time, Archimedes believed the secrets of the universe could be revealed by th

inking alone. *
True!
False!

1 answer:

Nutka1998 [239]3 years ago

4 0

True !! Yes the answer true

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Two energy resources that do not depend on the sun's energy

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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

$\mu_0 = 1.26*10^{-6} m\:kg\:s^{-2} A^{-2}$

$I =1.3A$

$L= 1.8m$

$B =2.0*10^{-3}T$

we get:

$d = \sqrt{\dfrac{(1.26*10^{-6})(1.3) *1.8 }{\pi (2.0*10^{-3})} }$

$\boxed{d = 0.022m}$

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4 years ago

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