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Figure Shows Some of the Equipotential Surfaces of the Magnetic Scalar Potential. Find the Magnetic Field B at a Point in the Region. - Physics

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प्रश्न

Figure shows some of the equipotential surfaces of the magnetic scalar potential. Find the magnetic field B at a point in the region.

योग

उत्तर

Given : 

Perpendicular distance, `dx = 10  sin 30^circ "cm" = 0.05  "m"` ,

Change in the potential, dV = `0.1 xx 10^-4  "T-m"`

We know that the relation between the potential and the field is given by 

`B = -(dV)/(dx)`

⇒ `B = -(0.1 xx 10^-4  "T-m")/(5 xx 10^-2  "m")`

⇒ `B = -2 xx 10^-4  "T"`

B is perpendicular to the equipotential surface. Here, it is at angle of 120° with the positive x-axis.

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अध्याय 14: Permanent Magnets - Exercises [पृष्ठ २७७]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 14 Permanent Magnets
Exercises | Q 4 | पृष्ठ २७७

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