A toroidal solenoid has 1664 turns.
The rate of current is across it is 1142.86 A/s.
What is a solenoid?
A solenoid is a machine made of a casing, a coil of wire, and a moving plunger (armature). A magnetic field that generates around the coil when an electrical current is applied pulls the plunger in. A solenoid, to put it simply, transforms electrical energy into mechanical work.
Given,
Length L = 2[tex]\pi[/tex]r
= 2[tex]\pi[/tex]×0.058 = 0.3644 m
L = [tex]u_{o}[/tex][tex]N^{2}[/tex]A/l
N= [tex]\sqrt{LXl/u_{oA} }[/tex]
N = [tex]\sqrt{2.1X10^{-3}X0.3644/4\pi X10^{-7}X2.2X10^{-4}}[/tex]
N= 1664 turns
B) V = L [tex]\frac{dl}{dt}[/tex]
[tex]\frac{dl}{dt}[/tex] = [tex]\frac{V}{L}[/tex] = [tex]\frac{2.4}{2.1X10^{-3} }[/tex]
[tex]\frac{dl}{dt}[/tex] = 1142.86 A/s
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