3-Determine the output voltage in Figure 8 for each of the following failure modes: (a) L1 open (b) L2 open (c) R1 open (d) a short across R2 5 V 1 MHz L₁ m 8.0 pH L₂ mon 40 pH Figure 8 www R₁ www 100 (2 R₂ 100 Ω R3 56 Ω out

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**Transcription for Educational Website**

---

**Title: Analysis of Circuit Failure Modes**

**Problem Statement:**

Determine the output voltage in Figure 8 for each of the following failure modes:
- (a) L1 open
- (b) L2 open
- (c) R1 open
- (d) A short across R2

**Circuit Description:**

The circuit shown in Figure 8 includes the following elements:
- A sinusoidal voltage source (Vs) with an amplitude of 5 V and frequency of 1 MHz.
- Inductor \(L_1\) with an inductance of 8.0 µH.
- Inductor \(L_2\) with an inductance of 4.0 µH.
- Resistor \(R_1\) with a resistance of 100 Ω.
- Resistor \(R_2\) with a resistance of 100 Ω.
- Resistor \(R_3\) with a resistance of 56 Ω.

The output voltage \(V_{out}\) is measured across \(R_3\).

**Figure 8 Analysis:**

The diagram shows a series of components connected in a combination of series and parallel configurations. The voltage source \(Vs\) drives the circuit through inductors \(L_1\) and \(L_2\), followed by \(R_1\). Resistor \(R_2\) is connected in parallel with \(R_3\), where the output voltage \(V_{out}\) is measured across \(R_3\). Analyzing each failure mode involves determining how interruptions or changes (such as open circuits or shorts) impact \(V_{out}\).

---

This description and analysis can help students understand the effects of different component failures on circuit performance and how to approach problem-solving in electronic circuits.
Transcribed Image Text:**Transcription for Educational Website** --- **Title: Analysis of Circuit Failure Modes** **Problem Statement:** Determine the output voltage in Figure 8 for each of the following failure modes: - (a) L1 open - (b) L2 open - (c) R1 open - (d) A short across R2 **Circuit Description:** The circuit shown in Figure 8 includes the following elements: - A sinusoidal voltage source (Vs) with an amplitude of 5 V and frequency of 1 MHz. - Inductor \(L_1\) with an inductance of 8.0 µH. - Inductor \(L_2\) with an inductance of 4.0 µH. - Resistor \(R_1\) with a resistance of 100 Ω. - Resistor \(R_2\) with a resistance of 100 Ω. - Resistor \(R_3\) with a resistance of 56 Ω. The output voltage \(V_{out}\) is measured across \(R_3\). **Figure 8 Analysis:** The diagram shows a series of components connected in a combination of series and parallel configurations. The voltage source \(Vs\) drives the circuit through inductors \(L_1\) and \(L_2\), followed by \(R_1\). Resistor \(R_2\) is connected in parallel with \(R_3\), where the output voltage \(V_{out}\) is measured across \(R_3\). Analyzing each failure mode involves determining how interruptions or changes (such as open circuits or shorts) impact \(V_{out}\). --- This description and analysis can help students understand the effects of different component failures on circuit performance and how to approach problem-solving in electronic circuits.
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