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Toroid - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

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  • 3 Questions around this concept.

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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

Concepts Covered - 1

Toroid

Toroid -

If we try to bend a solenoid in the form of a ring then the obtained shape is a Toroid. So, a toroid can be considered as a ring shaped closed solenoid. Hence it is like an endless cylindrical solenoid. From the given figure we can understand Toroid much better.

                       

Now to obtain the magnetic field by an toroid, let us consider a toroid having N turns.

Here, we will now apply Ampere circuital law to calculate magnetic field of a toriod. Suppose we have to find the magnetic field B at a point P inside the toriod as shown below in figure - 

                                       

Let us take an amperion loop which is a circle through point P and concentric inside the toriod. By symmetry field will have equal magnitude at all points of this circle and this field is tangential to every point in the circle
Thus, 

                                                                                   \begin{array}{l}{\oint B . d l=\mu_{0} \mathrm{NI}} \\ {\text { or, }} \\ \\ {2 \pi r \mathrm{B}=\mu_{0} \mathrm{NI}} \\ {\text { or, }} \\ \\ {\mathrm{B}=\frac{\mu_{0} \mathrm{NI}}{2 \pi r}}\end{array}

From the above result, B varies with r i.e. field B is not uniform over the cross-section of the core because as we increase 'r' the B varies.

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Toroid

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