Example 5.9. Find the magnetic field of a very long solenoid, consisting of nclosely wound turns per unit length on a cylinder of radius R, each carrying asteady current I (Fig. 5.34). [The point of making the windings so close is thatone can then pretend each turn is circular. If this troubles you (after all, there isa net current in the direction of the solenoid's axis, no matter how tight theChapter 5 MagnetostaticsKFIGURE 5.34winding), picture instead a sheet of aluminum foil wrapped around the cylin-der, carrying the equivalent uniform surface current K = n1 (Fig. 5.35). Or makea double winding, going up to one end and then always in the same sense-going back down again, thereby eliminating the net longitudinal current. But, intruth, this is all unnecessary fastidiousness, for the field inside a solenoid is huge(relatively speaking), and the field of the longitudinal current is at most a tinyrefinement.]FIGURE 5.35

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Answered: Example 5.9. Find the magnetic field of…

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