University:
Kentucky State University
Course:
PHY 212 | General Physics II
Academic year:

2024
Views:

292

Pages:

31
Author:

Lily Callahan

**Chapter 11: Power Analysis** * **For DC circuits:** P = VI [Image of a circuit diagram with current I flowing through a resistor with voltage V across it] * **Passive sign convention:** * If the element absorbs power (P > 0), then (P) is the amount of power delivered to this element. * If the element supplies power (P < 0), then (P) is the amount of power absorbed by this element. **1. Instantaneous Power:** P(t) = i(t)v(t) [Image of a circuit diagram with current i(t) flowing through an element with voltage v(t) across it] The amount of the absorbed power by this element. **P in Resistors:** v(t) = R i(t) P = v(t) i(t) P = R i²(t) P = v²(t) / R [Image of a resistor with current i(t) and voltage v(t)] **P in Inductors:** v(t) = L di(t)/dt P = v(t) i(t) P = L i(t) di(t)/dt P = (1/2) L i²(t) [Image of an inductor with current i(t) and voltage v(t)] **P in Capacitors:** i(t) = C dv(t)/dt P = v(t) i(t) P = C v(t) dv(t)/dt P = (1/2) C v²(t) [Image of a capacitor with current i(t) and voltage v(t)] **Maximum Power Transfer Theorem:** **DC:** [Image of a circuit with a voltage source Vth, a resistor Rth, and a load resistor RL connected in series] → Vth or In delivers maximum power for RL when: RL = Rth **Sinusoidal Sources:** [Image of a circuit with a voltage source Vth, an impedance Zth, and a load impedance ZL connected in series] [Image of a circuit with a current source In, an impedance Zth, and a load impedance ZL connected in series] → Vth or In delivers maximum average power (PL) to ZL when: ZL = Zth* *Zth* is the conjugate of Zth

Chaper 11 Power Analisys

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