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Finding the induced EMF in a solenoid-wire system
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[QUOTE="rude man, post: 6194758, member: 350494"] This one is fun. My 1st reaction was zero. But then: think of the solenoid-wire system as a transformer. Then do two Gedankenexperimente a la Einstein: Setup 1. consider the wire as the primary "winding" and the solenoid (coil) as the secondary. Coil is open. Then you can write the voltage across the coil in 2 ways: in terms of a changing flux and in terms of a changing primary current. In other words, this is just mutual inductance M and you can actually compute M for this setup. Setup 2: now make the primary the coil and the secondary the wire. The wire is open. You can now write the voltage across the wire in terms of M and the coil current. A very good problem IMO. Realizing that it's the same M (not easy to prove BTW) you can now find the voltage across the wire. [/QUOTE]
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Finding the induced EMF in a solenoid-wire system
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