Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question
**Thevenin Equivalent Voltage Calculation** **Problem Statement:** Determine the Thevenin equivalent voltage (V) at terminals ab in the circuit shown below. The possible values are 10V, 35V, 61V, or 100V. (Show your work.) **Circuit Description:** - A voltage source of 100V is connected to three resistors in a linear arrangement. - Resistor R1 = 10Ω is connected in series with Resistor R2 = 30Ω. - These two resistors are then connected parallel to Resistor R3 = 20Ω. - Another resistor, R4 = 40Ω, is connected at terminal 'a' across 'b'. **Approach to Solve:** 1. **Circuit Analysis:** - Identify the part of the circuit that affects the Thevenin equivalent seen from terminals a and b. - Use series and parallel resistor combinations to simplify the circuit step by step. 2. **Thevenin Voltage Calculation:** - Use voltage divider rules and parallel combination rules for the resistors to find the open circuit voltage at the terminals a-b. 3. **Calculate:** - Solve the equations based on the above simplifications to arrive at the Thevenin voltage. By following these steps, you would calculate the precise Thevenin voltage for terminals ab which will be one of the provided options (10V, 35V, 61V, or 100V).
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Transcribed Image Text:**Thevenin Equivalent Voltage Calculation** **Problem Statement:** Determine the Thevenin equivalent voltage (V) at terminals ab in the circuit shown below. The possible values are 10V, 35V, 61V, or 100V. (Show your work.) **Circuit Description:** - A voltage source of 100V is connected to three resistors in a linear arrangement. - Resistor R1 = 10Ω is connected in series with Resistor R2 = 30Ω. - These two resistors are then connected parallel to Resistor R3 = 20Ω. - Another resistor, R4 = 40Ω, is connected at terminal 'a' across 'b'. **Approach to Solve:** 1. **Circuit Analysis:** - Identify the part of the circuit that affects the Thevenin equivalent seen from terminals a and b. - Use series and parallel resistor combinations to simplify the circuit step by step. 2. **Thevenin Voltage Calculation:** - Use voltage divider rules and parallel combination rules for the resistors to find the open circuit voltage at the terminals a-b. 3. **Calculate:** - Solve the equations based on the above simplifications to arrive at the Thevenin voltage. By following these steps, you would calculate the precise Thevenin voltage for terminals ab which will be one of the provided options (10V, 35V, 61V, or 100V).
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