For the lower loop of the circuit below, which equation is resulted from a correct use of Kirchhoff's loop rule? Assume the clockwise direction is used for the loop. 18.0 V 5.00 N 8.00 N 12.0 V 11.0 2 7.00 N 5.00 N 36.0 V O -11 I2 + 12 - 7 I2 + 36 + 5 I3 = 0 O -11 12 - 12 - 7 I2 - 36 - 5 I3 = o O 11 12 + 12 +7 I2 - 36 + 5 13 = 0 O -11 I2 + 12 - 7 12 - 36 + 5 13 = 0 O -11 I2 + 12 - 7 12 - 36 - 5 I3 = 0
For the lower loop of the circuit below, which equation is resulted from a correct use of Kirchhoff's loop rule? Assume the clockwise direction is used for the loop. 18.0 V 5.00 N 8.00 N 12.0 V 11.0 2 7.00 N 5.00 N 36.0 V O -11 I2 + 12 - 7 I2 + 36 + 5 I3 = 0 O -11 12 - 12 - 7 I2 - 36 - 5 I3 = o O 11 12 + 12 +7 I2 - 36 + 5 13 = 0 O -11 I2 + 12 - 7 12 - 36 + 5 13 = 0 O -11 I2 + 12 - 7 12 - 36 - 5 I3 = 0
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:### Educational Website Content on Kirchhoff's Loop Rule
#### Problem Statement
For the lower loop of the circuit shown below, which equation results from a correct use of Kirchhoff’s loop rule? Assume the clockwise direction is used for the loop.
#### Circuit Diagram Overview
- The circuit contains three separate loops with various resistors and voltage sources.
- There is a voltage source of 18.0 V at the top left and a 36.0 V at the bottom right.
- The resistances given in the circuit are:
- 5.00 Ω on the top right
- 11.0 Ω at the left center
- 8.00 Ω on the left
- 12.0 Ω in the center
- 7.00 Ω at the center right
- 5.00 Ω at the bottom
- Currents are indicated with arrows I₁, I₂, and I₃.
#### Equations from Kirchhoff's Loop Rule
Choose the correct equation for the lower loop:
- \( \bigcirc \) \(-11I_2 + 12 + 7I_2 + 36 + 5I_3 = 0\)
- \( \bigcirc \) \(-11I_2 - 12 - 7I_2 + 36 - 5I_3 = 0\)
- \( \bigcirc \) \(11I_2 + 7I_2 + 36 + 5I_3 = 0\)
- \( \bigcirc \) \(-11I_2 + 12 - 7I_2 - 36 + 5I_3 = 0\)
- \( \bigcirc \) \(11I_2 + 12 - 7I_2 - 36 + 5I_3 = 0\)
#### Explanation of Diagrams and Equations
The circuit is analyzed by applying Kirchhoff’s loop rule, which states that the sum of the potential differences (voltage) around any closed loop in a circuit must equal zero. The resistances and voltage sources must be accurately taken into account as you move through the loop in a specified direction (clockwise, in this instance).
Reviewing the mentioned equations, substitute the resistances and the voltage sources accurately according to the loop rule for the specific path in question.
### Conclusion
Apply Kirchhoff’s
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