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14. For the circuit depicted in Fig. 14.11, take s = −200+j150 s¹. Determine the ratio of the frequency-domain voltages V₂ and V₁, which correspond to v₂ (t) and u₁(1), respectively. 15 If the complex frequency describing the circuit of Fig 14 11 is s-150 +

14. For the circuit depicted in Fig. 14.11, take s = −200+j150 s¹. Determine the ratio of the frequency-domain voltages V₂ and V₁, which correspond to v₂ (t) and u₁(1), respectively. 15 If the complex frequency describing the circuit of Fig 14 11 is s-150 +

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Can someone explain exercise 14 please. Im not sure where to start .

### Educational Text and Diagram Explanation #### Diagram Description The diagram is a simple electrical circuit labeled as **Figure 14.11**. The circuit consists of: - A voltage source marked as \( v_s \). - A resistor with a resistance of 21 \(\Omega\). - An inductor with an inductance of 100 mH. - The current flowing through the circuit is denoted as \( i(t) \). - There are two voltages across components: \( v_1 \) across the resistor and \( v_2 \) across the inductor. #### Text Details **Highlighted Problems** **14.** For the circuit depicted in Fig. 14.11, take \( s = -200 + j150 \, \text{s}^{-1} \). Determine the ratio of the frequency-domain voltages \( V_2 \) and \( V_1 \), which correspond to \( v_2(t) \) and \( v_1(t) \), respectively. **15.** If the complex frequency describing the circuit of Fig. 14.11 is \( s = -150 + j100 \, \text{s}^{-1} \), determine the time-domain voltage which corresponds to a frequency-domain voltage \( V_2 = 5/\angle -25^\circ \) V. **16.** Calculate the time-domain voltage \( v \) in the circuit of Fig. 14.12 if the frequency-domain representation of the current source is \( 2.3/\angle 50^\circ \) A at a complex frequency of \( s = -1 + j2 \, \text{s}^{-1} \). **17.** This problem references another circuit, stating that it is operated for an extended period of time. These problems involve analyzing circuits using complex frequency and determining relationships and quantities in the frequency domain as well as converting them to the time domain.
Transcribed Image Text:### Educational Text and Diagram Explanation #### Diagram Description The diagram is a simple electrical circuit labeled as **Figure 14.11**. The circuit consists of: - A voltage source marked as \( v_s \). - A resistor with a resistance of 21 \(\Omega\). - An inductor with an inductance of 100 mH. - The current flowing through the circuit is denoted as \( i(t) \). - There are two voltages across components: \( v_1 \) across the resistor and \( v_2 \) across the inductor. #### Text Details **Highlighted Problems** **14.** For the circuit depicted in Fig. 14.11, take \( s = -200 + j150 \, \text{s}^{-1} \). Determine the ratio of the frequency-domain voltages \( V_2 \) and \( V_1 \), which correspond to \( v_2(t) \) and \( v_1(t) \), respectively. **15.** If the complex frequency describing the circuit of Fig. 14.11 is \( s = -150 + j100 \, \text{s}^{-1} \), determine the time-domain voltage which corresponds to a frequency-domain voltage \( V_2 = 5/\angle -25^\circ \) V. **16.** Calculate the time-domain voltage \( v \) in the circuit of Fig. 14.12 if the frequency-domain representation of the current source is \( 2.3/\angle 50^\circ \) A at a complex frequency of \( s = -1 + j2 \, \text{s}^{-1} \). **17.** This problem references another circuit, stating that it is operated for an extended period of time. These problems involve analyzing circuits using complex frequency and determining relationships and quantities in the frequency domain as well as converting them to the time domain.
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