A solenoid used to produce magnetic fields for research purposes is 2.2 mm long, with an inner radius of 30 cmcm and 1200 turns of wire. When running, the solenoid produced a field of 1.4 TT in the center. Given this, how large a current does it carry?
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Ответ:
The current is![I = 2042\ A](/tpl/images/0714/1752/d9d7d.png)
Explanation:
From the question we are told that
The length of the solenoid is![l = 2.2 \ m](/tpl/images/0714/1752/53a95.png)
The radius is![r_i = 30 \ cm = 0.30 \ m](/tpl/images/0714/1752/645d3.png)
The number of turn is![N = 1200 \ turns](/tpl/images/0714/1752/45911.png)
The magnetic field is![B = 1.4 \ T](/tpl/images/0714/1752/ff569.png)
The magnetic field produced is mathematically represented as
making
the subject
Where
is the permeability of free space with values ![\mu_o = 4\pi *10^{-7} N/A^2](/tpl/images/0714/1752/54e59.png)
substituting values
Ответ: