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3. A short solenoid (length I and radius a, with n turns per unit length) lies on the axis of a very long solenoid

3. A short solenoid (length I and radius a, with n turns per unit length) lies on the axis of a very long solenoid (radius b, n2 turns per unit length) as shown in figure below. Current I flows in the short solenoid. What is the flux through the long solenoid?

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