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Sometimes We Show an Idealised Magnetic Field Which is Uniform in a Given Region and Falls to Zero Abruptly. One Such Field is Represented in Figure. - Physics

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प्रश्न

Sometimes we show an idealised magnetic field which is uniform in a given region and falls to zero abruptly. One such field is represented in figure. Using Ampere's law over the path PQRS, show that such a field is not possible. 

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उत्तर

Half of the loop PQRS is in the region of magnetic field and half in the area of zero magnetic field.

Let us consider a current carrying circular wire, due to which there is uniform magnetic field in the region.

Take a point A inside the loop PQRS in the region where B = 0

According to Ampere's circuital law,

`int B .dl = mu _oi`

If there is current enclosed by the loop PQRS, then magnetic field B cannot be 0.

Whereas, we have taken the magnetic field at point A to be zero.

Thus, such a field is not possible. 

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अध्याय 13: Magnetic Field due to a Current - Exercises [पृष्ठ २५२]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 13 Magnetic Field due to a Current
Exercises | Q 51 | पृष्ठ २५२

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