a 6Ω 100 N Zab -jXe j25 N b Given: The phasor circuit shown above. Required: Calculate the value of capacitive reactance, Xc, such that the complex impedance, Zab, at terminal pair, a-b, is real; i.e., the imaginary part of Zab is zero. Also, calculate the value of Zab at that value of Xc. Hint: Ignore the leftmost resistor while determining Xc.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The image depicts a phasor circuit with elements connected between terminals a and b. The components in the circuit are:

- A 6 ohm resistor connected in series with the terminals.
- A parallel arrangement consisting of a 100 ohm resistor, a capacitor with reactance -jXc, and an inductor with impedance j25 ohms.
- The total impedance across terminals a and b is represented by Zab.

**Problem Statement:**

**Given:** The phasor circuit shown above.

**Required:** 
1. Calculate the value of capacitive reactance, Xc, such that the complex impedance, Zab, at terminal pair a-b is real; i.e., the imaginary part of Zab is zero.
2. Calculate the value of Zab at that value of Xc.

**Hint:** Ignore the leftmost resistor while determining Xc.
Transcribed Image Text:The image depicts a phasor circuit with elements connected between terminals a and b. The components in the circuit are: - A 6 ohm resistor connected in series with the terminals. - A parallel arrangement consisting of a 100 ohm resistor, a capacitor with reactance -jXc, and an inductor with impedance j25 ohms. - The total impedance across terminals a and b is represented by Zab. **Problem Statement:** **Given:** The phasor circuit shown above. **Required:** 1. Calculate the value of capacitive reactance, Xc, such that the complex impedance, Zab, at terminal pair a-b is real; i.e., the imaginary part of Zab is zero. 2. Calculate the value of Zab at that value of Xc. **Hint:** Ignore the leftmost resistor while determining Xc.
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