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