Questions
A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region
detailed solution
Correct option is B
Construct a concentric circle of radius r. The induced electric field (E) at any point on the circle is equal to that at P. For this circle∮ E→⋅dl→=dϕdt=AdBdt or E×(2πr)=πa2⋅dBdt⇒E=a22rdBdt⇒E∝1rTalk to our academic expert!
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A coil having n turns and resistance R is connected with a galvanometer of resistance 4 R . This combination is moved in time t seconds from a magnetic field B1 weber to B2 weber. The induced current in the-circuit is
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