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  • An iron cored toroid has ring radius and number of turns <img alt="500." src="https://entrancecorner.oncodecogs.com/

An iron cored toroid has ring radius 7cm and number of turns 500. If 2A current is passed though the wire, what will be the value of magnetic field on the axis of the foroid? Given, relative magnetic Permeability of Iron =1500

Option: 1

4.28wb.m^-^2


Option: 2

3.5wb.m^-^2


Option: 3

2.98wb.m^-^2


Option: 4

None of the above


Answers (1)

best_answer

Length of the circular axis of the ring

=2 \pi r=2 \times \frac{22}{7} \times 7=44 \mathrm{~cm}=0.44 \mathrm{~m}

The number of turns per unit length of the toroid,

n=\frac{500}{0.44} m-1

Magnetic field on the axis of the toroid

\begin{aligned} & B=\mu_{n I}=\mu_0 \mu_p n I \\ & =\left(4 \pi \times 10^{-7}\right) \times 1500 \times \frac{500}{0.44} \times 2=4.28 \mathrm{wb} \cdot \mathrm{m}^{-2} \end{aligned}

Posted by

Divya Prakash Singh

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