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A uniform magnetic field B(t), pointing upward fills a circular region of radius, s in a horizontal plane. If B is changing with time, find the induced electric field. - Physics

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प्रश्न

A uniform magnetic field B(t), pointing upward fills a circular region of radius, s in a horizontal plane. If B is changing with time, find the induced electric field.

संख्यात्मक

उत्तर

The area of the region, A= πs2, remains constant, while B = B(t) is a function of time. Therefore, the induced electric field,

e = `- ("d" phi)/"dt"`

= `- "d"/"dt" (vec "B" * vec"A")`

= `- A (dB(t))/(dt)`

= `- pis^2 (dB(t))/(dt)`

Note: The volt and volt per metre are the SI units for the two physical quantities, emf and electric field, respectively. As a result, the question has been updated.

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अध्याय 12: Electromagnetic induction - Exercises [पृष्ठ २८७]

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बालभारती Physics [English] 12 Standard HSC Maharashtra State Board
अध्याय 12 Electromagnetic induction
Exercises | Q 17 | पृष्ठ २८७
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