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A long solenoid 'S' has 'n' turns per me...

A long solenoid 'S' has 'n' turns per meter, with diameter 'a'. At the center of this coil, we place a smaller coil of 'N' turns and diameter 'b' (where b < a). If the current in the solenoid increase linearly with time, what is the induced emf appearing in the smaller coil. Plot graph showing nature of variation in emf, if current varies as a function of `mt^(2) + C`.

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To find the induced emf in the smaller coil placed at the center of a long solenoid, we can follow these steps: ### Step 1: Understand the Problem We have a long solenoid with 'n' turns per meter and a diameter 'a'. Inside this solenoid, there is a smaller coil with 'N' turns and diameter 'b' (where b < a). The current in the solenoid increases linearly with time, given by the equation \( I(t) = mt^2 + C \). ### Step 2: Determine the Magnetic Field Inside the Solenoid The magnetic field \( B \) inside a long solenoid is given by the formula: \[ ...
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