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\nLR Circuit Equation Derivations\n

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\n\nPublisher:\n\nFlipping Physics\n\n\n
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\nToday, we're diving deep into LR circuits, deriving equations for current and its time rate of change. Closing the switch at t equals zero, we employ Kirchhoff’s Loop Rule, employing u-substitution for a smoother journey. Through...\nToday, we're diving deep into LR circuits, deriving equations for current and its time rate of change. Closing the switch at t equals zero, we employ Kirchhoff’s Loop Rule, employing u-substitution for a smoother journey. Through meticulous steps, we integrate and identify limits, ensuring a comprehensive understanding. Billy clarifies time limits, guiding us through the math, leading to the ultimate expression for current: emf over resistance times (1 - e^(-Rt/L)). This aligns perfectly with circuit limits, from zero at t equals zero to emf over resistance in the steady state. Bo then skillfully tackles the time rate of change of current, yielding emf over inductance times e^(-Rt/L).\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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10:04
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Grade
12th - Higher Ed
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Subjects
Science
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Media Type
Instructional Videos
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Source:
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\nFlipping Physics\n\n
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Date
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2024
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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derivatives, integrals, resistance, multiplicative inverse, time, equations, limits
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Additional Tags

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lr circuits, kirchhoff’s loop rule, u-substitution, time limits, emf, inductance, steady state, time rate of change, mathematical derivation, circuit behavior, physics education, ap physics, physics, ap physics c, electricity and magnetism, e&m, jee, neet, flipping physics, emf divided, lecture notes, hand side, natural log, lr circuit, derived earlier, final divided, time rate, long time, inductance times, substitute infinity, resistance times, circuit, final, negative, equals, east, initial, equal, substitute, substitute 0, current, equation, change
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