What is the least number of turns that the winding must have? Express your answe

Question

What is the least number of turns that the winding must have? Express your answer numerically, as a whole number, to three significant figures.
turns

turns
An air-filled toroidal solenoid has a mean radius of 14.5 and a cross-sectional area of 4.96 (see the figure). The current flowing through it is 11.5 , and it is desired that the energy stored within the solenoid be at least 0.392 .(Figure 1)


What is the least number of turns that the winding must have? Express your answer numerically, as a whole number, to three significant figures.
turns

Explanation / Answer

Magnetic field of a toroid with N turns of wire, mean radius R, and current I is given by:

B(toroid) = ?NI/2?R

Magnetic energy stored by such a toroid is given by:

E =

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