Question

1. A uniformly wound air-core toroid has 750 loops on it. The radius of the circle through the center of its windings is 5cm. What current in the winding will produce a field of 1.8 mT on this central circle?

Answer 1

Given that,

Number of turns of a toroid is 750

Radius of the circle center of its winding is 5 cm or 0.05 m

Magnetic field produced on this circle is 1.8 mT

To find,

Current in the winding

Solution,

The magnetic field on this central circle is given by :

$B=\dfrac{\mu_o NI}{2\pi r}$

I is current

$I=\dfrac{2\pi rB}{\mu_o N}\\\\I=\dfrac{2\pi \times 0.05\times 1.8\times 10^{-3}}{4\pi \times 10^{-7}\times 750}\\\\I=0.6\ A$

So, the current in the winding is 0.6 A.

Learn more,

Magnetic field due to toroid

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