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\nLC Circuit Equation Derivations\n

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\n\nPublisher:\n\nFlipping Physics\n\n\n
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\nIn this morning's lesson on LC circuits, we derive equations for charge, current, and energy as functions of time. Exploring the total potential energy in the circuit, we use the chain rule to find the second derivative of charge with...\nIn this morning's lesson on LC circuits, we derive equations for charge, current, and energy as functions of time. Exploring the total potential energy in the circuit, we use the chain rule to find the second derivative of charge with respect to time, revealing that an LC circuit exhibits simple harmonic motion. The angular frequency and period equations are derived, demonstrating that an LC circuit undergoes oscillation. Applying these findings, we derive equations for charge, current, and energy over time. Additionally, we prove that the total energy in an LC circuit remains constant due to ideal, zero-resistance wires.\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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11:22
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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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Usage Permissions
Fine Print: Educational Use
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Concepts

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energy, oscillation, potential energy, chain rule, multiplicative inverse, equations, variables, time
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Additional Tags

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lc circuit, charge, current, simple harmonic motion, angular frequency, period, ideal wires, zero resistance, circuit dynamics, electrical oscillation, circuit behavior, physics education, ap physics, physics, ap physics c, electricity and magnetism, e&m, jee, neet, flipping physics, electric field, magnetic field, square root, phase constant, energy stored, total energy, times capacitance, quantity time, equation definition, current equals, time equals, maximum current, maximum charge, equals, square, circuit, times, 0 energy, billy, maximum, variable, derived
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Best For: Explaining a topic
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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: LC Circuit Equation Derivations\" href=\"/subscription/new\">\"LC\n\n
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