Determine the total resistance in a circuit containing one 14 Q and one 97 resistor with a total voltage of 56 V. (Round the FINAL answer to one decimal place.) E₁

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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### Circuit Resistance Calculation

**Problem Statement:**

Determine the total resistance in a circuit containing one 14 Ω and one 97 Ω resistor with a total voltage of 56 V.  
(Round the FINAL answer to one decimal place.)

**Circuit Diagram Explanation:**

- The diagram shows a simple electrical circuit.
- On the left, there is a battery represented by a pair of parallel lines with a voltage source labeled \( E_T \).
- Two resistors, labeled \( R_1 \) and \( R_2 \), are connected in series.
  - Resistor \( R_1 \) has a resistance of 14 Ω.
  - Resistor \( R_2 \) has a resistance of 97 Ω.
  
**Solution Approach:**

For resistors in series, the total resistance \( R_T \) is the sum of the individual resistances:

\[ R_T = R_1 + R_2 \]

Using the given values:

\[ R_T = 14 \, \Omega + 97 \, \Omega \]  
\[ R_T = 111 \, \Omega \]

Therefore, the total resistance is **111.0 Ω** when rounded to one decimal place.
Transcribed Image Text:### Circuit Resistance Calculation **Problem Statement:** Determine the total resistance in a circuit containing one 14 Ω and one 97 Ω resistor with a total voltage of 56 V. (Round the FINAL answer to one decimal place.) **Circuit Diagram Explanation:** - The diagram shows a simple electrical circuit. - On the left, there is a battery represented by a pair of parallel lines with a voltage source labeled \( E_T \). - Two resistors, labeled \( R_1 \) and \( R_2 \), are connected in series. - Resistor \( R_1 \) has a resistance of 14 Ω. - Resistor \( R_2 \) has a resistance of 97 Ω. **Solution Approach:** For resistors in series, the total resistance \( R_T \) is the sum of the individual resistances: \[ R_T = R_1 + R_2 \] Using the given values: \[ R_T = 14 \, \Omega + 97 \, \Omega \] \[ R_T = 111 \, \Omega \] Therefore, the total resistance is **111.0 Ω** when rounded to one decimal place.
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