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Question
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.
Solution
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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