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5.32 Calculate i, and to in the circuit Find the power dissipated by the 60-k2 resistor.

5.32 Calculate i, and to in the circuit Find the power dissipated by the 60-k2 resistor.

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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**Title: Circuit Analysis Problem** **Problem 5.32:** Calculate \( i_x \) and \( v_o \) in the circuit. Find the power dissipated by the 60-k\(\Omega\) resistor. **Circuit Diagram Description:** - The circuit features an operational amplifier with a voltage source of 4 mV. - The input side is connected to a resistor \( R_1 = 10 \, k\Omega \), and a feedback resistor \( R_F = 50 \, k\Omega \). - A voltage \( v_o \) is measured across a network of resistors: - \( R_2 = 20 \, k\Omega \) - \( R_3 = 60 \, k\Omega \) - \( R_4 = 30 \, k\Omega \) - The network of resistors \( R_2, R_3, \) and \( R_4 \) is arranged in parallel and connected to the negative terminal. - The current \( i_x \) passes through \( R_2 \). **Solution:** - \( i_x = 0.6 \, \mu A \) - Power dissipated by \( R_3 \) is \( P_{R3} = 2.4 \, nW \) **Explanation:** - The circuit requires analyzing the relationships between the operational amplifier inputs, feedback, and the resistor network to determine current and voltage characteristics. - Power dissipation in resistors is calculated using \( P = I^2 \cdot R \). This problem involves understanding operational amplifier behavior and basic circuit analysis techniques to identify currents and voltages in the network.
Transcribed Image Text:**Title: Circuit Analysis Problem** **Problem 5.32:** Calculate \( i_x \) and \( v_o \) in the circuit. Find the power dissipated by the 60-k\(\Omega\) resistor. **Circuit Diagram Description:** - The circuit features an operational amplifier with a voltage source of 4 mV. - The input side is connected to a resistor \( R_1 = 10 \, k\Omega \), and a feedback resistor \( R_F = 50 \, k\Omega \). - A voltage \( v_o \) is measured across a network of resistors: - \( R_2 = 20 \, k\Omega \) - \( R_3 = 60 \, k\Omega \) - \( R_4 = 30 \, k\Omega \) - The network of resistors \( R_2, R_3, \) and \( R_4 \) is arranged in parallel and connected to the negative terminal. - The current \( i_x \) passes through \( R_2 \). **Solution:** - \( i_x = 0.6 \, \mu A \) - Power dissipated by \( R_3 \) is \( P_{R3} = 2.4 \, nW \) **Explanation:** - The circuit requires analyzing the relationships between the operational amplifier inputs, feedback, and the resistor network to determine current and voltage characteristics. - Power dissipation in resistors is calculated using \( P = I^2 \cdot R \). This problem involves understanding operational amplifier behavior and basic circuit analysis techniques to identify currents and voltages in the network.
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Required: IX and v0 and also the power dissipated across the 60 kOhm resistor.

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