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14.9 Check Your Understanding For the circuit of in Figure 14.12(b), show that when steady state is reached, the difference in the total energies produced by the battery and dissipated in the resistor is equal to the energy stored in the magnetic field of the coil. R R |(t) |(t) S2 (a) (b) (c) Figure 14.12 (a) An RL circuit with switches S1 and S2. (b) The equivalent circuit with S1 closed and S2 open. (c) The equivalent circuit after Si is opened and S2 is closed. S.

14.9 Check Your Understanding For the circuit of in Figure 14.12(b), show that when steady state is reached, the difference in the total energies produced by the battery and dissipated in the resistor is equal to the energy stored in the magnetic field of the coil. R R |(t) |(t) S2 (a) (b) (c) Figure 14.12 (a) An RL circuit with switches S1 and S2. (b) The equivalent circuit with S1 closed and S2 open. (c) The equivalent circuit after Si is opened and S2 is closed. S.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**14.9 Check Your Understanding** For the circuit in Figure 14.12(b), show that when the steady state is reached, the difference in the total energies produced by the battery and dissipated in the resistor is equal to the energy stored in the magnetic field of the coil. **Description of Figures:** - **Figure 14.12(a):** An RL circuit with two switches, \( S_1 \) and \( S_2 \). The switch \( S_1 \) is positioned to connect the resistor \( R \), inductor \( L \), and the electromotive force \( \mathcal{E} \) in series. - **Figure 14.12(b):** Equivalent circuit when switch \( S_1 \) is closed and \( S_2 \) is open. The current \( I(t) \) flows through the circuit, going through the resistor \( R \), and the inductor \( L \), driven by the electromotive force \( \mathcal{E} \). - **Figure 14.12(c):** Equivalent circuit after switch \( S_1 \) is opened and \( S_2 \) is closed. The current \( I(t) \) continues to circulate through the resistor \( R \) and inductor \( L \), using the energy stored in the magnetic field of the coil.
Transcribed Image Text:**14.9 Check Your Understanding** For the circuit in Figure 14.12(b), show that when the steady state is reached, the difference in the total energies produced by the battery and dissipated in the resistor is equal to the energy stored in the magnetic field of the coil. **Description of Figures:** - **Figure 14.12(a):** An RL circuit with two switches, \( S_1 \) and \( S_2 \). The switch \( S_1 \) is positioned to connect the resistor \( R \), inductor \( L \), and the electromotive force \( \mathcal{E} \) in series. - **Figure 14.12(b):** Equivalent circuit when switch \( S_1 \) is closed and \( S_2 \) is open. The current \( I(t) \) flows through the circuit, going through the resistor \( R \), and the inductor \( L \), driven by the electromotive force \( \mathcal{E} \). - **Figure 14.12(c):** Equivalent circuit after switch \( S_1 \) is opened and \( S_2 \) is closed. The current \( I(t) \) continues to circulate through the resistor \( R \) and inductor \( L \), using the energy stored in the magnetic field of the coil.
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