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Lost1ne

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1) Take a non-steady circuit such as an LR circuit. Why does Kirchoff's voltage law work when analyzing such a circuit? Is it because we're assuming that dI/dt and thus dB/dt are approximately zero thus meaning that curl E is approximately zero?

2) ε, the electromotive force, is the line integral of the force per unit charge integrated around a circuit. Although I feel many texts don't make this distinction clear (maybe because it's trivial), this is not necessarily equal to -dΦ/dt, Φ being the magnetic flux through our designated surface following Faraday's Law, correct? If so, we would already have a clear contradiction using an example like a steady circuit consisting of a battery and a resistor. -dΦ/dt is only the

2) ε, the electromotive force, is the line integral of the force per unit charge integrated around a circuit. Although I feel many texts don't make this distinction clear (maybe because it's trivial), this is not necessarily equal to -dΦ/dt, Φ being the magnetic flux through our designated surface following Faraday's Law, correct? If so, we would already have a clear contradiction using an example like a steady circuit consisting of a battery and a resistor. -dΦ/dt is only the

*induced*EMF, and this adds algebraically with a pre-existing EMF, right? In the end, the net EMF must follow the line integral definition.
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