In figure at the right, circuit section AB absorbs energy at a rate of 98.0 W when current i = 0.760 A through it is in the indicated direction. Resistance R = 54.0 N. Emf device X lacks internal resistance. What X A В R is its emf?

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Publisher:Robert L. Boylestad
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**Transcription and Explanation for Educational Use:**

**Text:**

In the figure at the right, circuit section \( AB \) absorbs energy at a rate of 98.0 W when current \( i = 0.760 \, \text{A} \) through it is in the indicated direction. Resistance \( R = 54.0 \, \Omega \). Emf device \( X \) lacks internal resistance. What is its emf?

**Diagram Explanation:**

The diagram illustrates an electric circuit with a section labeled \( AB \). The circuit includes the following components:

1. **Resistor (\( R \))**: 
   - Positioned between points \( A \) and \( X \) in the circuit.
   - Labeled with a resistance value of \( 54.0 \, \Omega \).

2. **Emf Device (\( X \))**: 
   - Represented as an orange box between points \( X \) and \( B \).
   - Lacks internal resistance, implying it's ideal.

3. **Current (\( i \))**:
   - Denoted by an arrow pointing from \( A \) to \( B \) through the resistor and the emf device.
   - Given as \( 0.760 \, \text{A} \).

4. **Energy Absorption**: 
   - The entire section \( AB \) absorbs energy at a rate of \( 98.0 \, \text{W} \).

The diagram visually represents the flow of current and the energy absorption characteristics of the circuit, assisting in determining the unknown emf of device \( X \).
Transcribed Image Text:**Transcription and Explanation for Educational Use:** **Text:** In the figure at the right, circuit section \( AB \) absorbs energy at a rate of 98.0 W when current \( i = 0.760 \, \text{A} \) through it is in the indicated direction. Resistance \( R = 54.0 \, \Omega \). Emf device \( X \) lacks internal resistance. What is its emf? **Diagram Explanation:** The diagram illustrates an electric circuit with a section labeled \( AB \). The circuit includes the following components: 1. **Resistor (\( R \))**: - Positioned between points \( A \) and \( X \) in the circuit. - Labeled with a resistance value of \( 54.0 \, \Omega \). 2. **Emf Device (\( X \))**: - Represented as an orange box between points \( X \) and \( B \). - Lacks internal resistance, implying it's ideal. 3. **Current (\( i \))**: - Denoted by an arrow pointing from \( A \) to \( B \) through the resistor and the emf device. - Given as \( 0.760 \, \text{A} \). 4. **Energy Absorption**: - The entire section \( AB \) absorbs energy at a rate of \( 98.0 \, \text{W} \). The diagram visually represents the flow of current and the energy absorption characteristics of the circuit, assisting in determining the unknown emf of device \( X \).
**I) Identify the physical quantities and visualize the situation**

1) **Given quantities:**

2) **Unknown quantities:**

3) **Sketch the situation given in the problem:**

---

**II) Identify the physics principles involved and the corresponding generic/textbook equations**

4) **Principle(s)/Key idea(s):**

5) **Equations:**

---

**III) Plan and execute your solution**

6) **Analytic solution:**

7) **Numeric solution:**

8) **Final Answer:**

---

**IV) Self check**

9) **Unit check**

10) **Number check:**
Transcribed Image Text:**I) Identify the physical quantities and visualize the situation** 1) **Given quantities:** 2) **Unknown quantities:** 3) **Sketch the situation given in the problem:** --- **II) Identify the physics principles involved and the corresponding generic/textbook equations** 4) **Principle(s)/Key idea(s):** 5) **Equations:** --- **III) Plan and execute your solution** 6) **Analytic solution:** 7) **Numeric solution:** 8) **Final Answer:** --- **IV) Self check** 9) **Unit check** 10) **Number check:**
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