The very long cylindrical solenoid of Figure P29.27 has a radius of (0.50 mathrm{~m}) and 1200 windings

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The very long cylindrical solenoid of Figure P29.27 has a radius of \(0.50 \mathrm{~m}\) and 1200 windings per meter along its length. A circular conducting loop of radius \(1.0 \mathrm{~m}\), and resistance \(0.5 \mathrm{~V} / \mathrm{A}\) encircles the solenoid, with the long central axis of the solenoid passing through the center of the loop, and coinciding with the axis of the loop. The solenoid initially carries a steady current \(I=2\) A. If the connection between the solenoid and the battery providing the steady current is interrupted all of a sudden, what will be the total amount of charge flowing in the loop?

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