Electromagnetic Oscillations and Alternating ·Current

Alternating Current

Forced Oscillations We have seen that once started, the charge, potential difference, and current in both  undamped LC circuits and damped RLC circuits (with small enough R) oscillate at  angular frequency W  Such oscillations are said to be free oscillations (freeof any external emf), and the angular frequency W is said to be the circuit’s natural angular …

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Damped Oscillations In an RLC Circuit

Damped Oscillations In an RLC Circuit A circuit containing resistance, i,inductance, and capacitance is called an RLC circuit. We shall here discuss only series RLC circuits like that shown in  With a resistance R present, the total electromagnetic energy U of the circuit (the sum of the electric energy and magnetic energy) is no longer constant; instead, …

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Charge and Current Oscillations

Charge and Current Oscillations Since the differential equations are mathematically identical, their solutions must also be mathematically identical. Because q corresponds to x, we can write the general solution of  by analogy to  as where Q·is the amplitude of the charge variations, w is the angular frequency of the electro magnetic oscillations, and cjJ is the …

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LC Oscillations O uantitatively

LC Oscillations O uantitatively Here we want to Show explicitly that Eq. 33-4 for the angular frequency of LC oscillations is correct. At the same time, we want to examine even more closely the analogy between LC oscillations and block-spring oscillations. We start by extending somewhat our earlier treatment of the mechanical block-spring oscillator The Block-Spring Oscillator We …

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