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4.36 Solve for the current i in the circuit of Fig. 4.103 using Thevenin's theorem. (Hint: Find the Thevenin equivalent seen by the 12-2 resistor.) 11 10 2 50 V ww+ 12 S2 +30 V 40 92

4.36 Solve for the current i in the circuit of Fig. 4.103 using Thevenin's theorem. (Hint: Find the Thevenin equivalent seen by the 12-2 resistor.) 11 10 2 50 V ww+ 12 S2 +30 V 40 92

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Problem 4.36:** Solve for the current \( i \) in the circuit of Fig. 4.103 using Thevenin’s theorem. *(Hint: Find the Thevenin equivalent seen by the 12-\(\Omega\) resistor.)* **Circuit Description:** The circuit shown includes: - A 50 V voltage source connected in series with a 10 \(\Omega\) resistor. - A parallel connection follows: - A 12 \(\Omega\) resistor is connected in parallel, with the current \( i \) flowing through it. - A separate branch with a 30 V voltage source in series with a 40 \(\Omega\) resistor. **Analysis Approach:** To solve for the current \( i \) through the 12 \(\Omega\) resistor, apply Thevenin's theorem. - Determine the Thevenin equivalent voltage and resistance seen by the 12 \(\Omega\) resistor. - Replace the circuit to the left of the 12 \(\Omega\) resistor with its Thevenin equivalent. - Calculate the current \( i \) using Ohm's Law with this simplified circuit.
Transcribed Image Text:**Problem 4.36:** Solve for the current \( i \) in the circuit of Fig. 4.103 using Thevenin’s theorem. *(Hint: Find the Thevenin equivalent seen by the 12-\(\Omega\) resistor.)* **Circuit Description:** The circuit shown includes: - A 50 V voltage source connected in series with a 10 \(\Omega\) resistor. - A parallel connection follows: - A 12 \(\Omega\) resistor is connected in parallel, with the current \( i \) flowing through it. - A separate branch with a 30 V voltage source in series with a 40 \(\Omega\) resistor. **Analysis Approach:** To solve for the current \( i \) through the 12 \(\Omega\) resistor, apply Thevenin's theorem. - Determine the Thevenin equivalent voltage and resistance seen by the 12 \(\Omega\) resistor. - Replace the circuit to the left of the 12 \(\Omega\) resistor with its Thevenin equivalent. - Calculate the current \( i \) using Ohm's Law with this simplified circuit.
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