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Vs 700 pF L m 0.10 mH 100 nF 560 pF

Vs 700 pF L m 0.10 mH 100 nF 560 pF

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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What is the total reactive load attached to the AC voltage source shown? What is the total current amplitude Ip? Data: Vp = 20. V and f = 200 kHz.

Answer

XT =  Ω

Ip =  mA

The diagram shows an electrical circuit consisting of several components: 1. **Alternating Voltage Source (Vs):** Represents an AC voltage source that powers the circuit. 2. **Inductor (0.10 mH):** Positioned in series with the circuit and has an inductance of 0.10 millihenries (mH). Inductors store energy in a magnetic field when electrical current flows through them. 3. **Capacitors:** - A 700 picofarad (pF) capacitor. - A 100 nanofarad (nF) capacitor in parallel with the 700 pF capacitor. - A 560 picofarad (pF) capacitor in series with the above capacitors. These components form a complex arrangement where the 700 pF capacitor and the 100 nF capacitor are in parallel with each other, and this combination is in series with the 560 pF capacitor. The inductor is in series with this entire arrangement. ### Explanation: - **Series and Parallel Capacitors:** Capacitors in parallel have their capacitances added together, whereas capacitors in series have a combined capacitance that is calculated using the reciprocal formula. - **LCR Circuit:** This type of circuit is also known as an LCR circuit (inductor-capacitor-resistor), although in this specific diagram, only inductors and capacitors are shown. Such circuits can resonate at specific frequencies and are used in applications like filters and tuners in radio transmitters and receivers. - **Resonant Frequency:** The arrangement of inductors and capacitors will have a specific resonant frequency determined by the values of the inductors and capacitors involved. This can be calculated to understand the frequency behavior of the circuit. This circuit can be analyzed further to determine its impedance, phase angle, and resonance characteristics depending on the specific application in which it is used.
Transcribed Image Text:The diagram shows an electrical circuit consisting of several components: 1. **Alternating Voltage Source (Vs):** Represents an AC voltage source that powers the circuit. 2. **Inductor (0.10 mH):** Positioned in series with the circuit and has an inductance of 0.10 millihenries (mH). Inductors store energy in a magnetic field when electrical current flows through them. 3. **Capacitors:** - A 700 picofarad (pF) capacitor. - A 100 nanofarad (nF) capacitor in parallel with the 700 pF capacitor. - A 560 picofarad (pF) capacitor in series with the above capacitors. These components form a complex arrangement where the 700 pF capacitor and the 100 nF capacitor are in parallel with each other, and this combination is in series with the 560 pF capacitor. The inductor is in series with this entire arrangement. ### Explanation: - **Series and Parallel Capacitors:** Capacitors in parallel have their capacitances added together, whereas capacitors in series have a combined capacitance that is calculated using the reciprocal formula. - **LCR Circuit:** This type of circuit is also known as an LCR circuit (inductor-capacitor-resistor), although in this specific diagram, only inductors and capacitors are shown. Such circuits can resonate at specific frequencies and are used in applications like filters and tuners in radio transmitters and receivers. - **Resonant Frequency:** The arrangement of inductors and capacitors will have a specific resonant frequency determined by the values of the inductors and capacitors involved. This can be calculated to understand the frequency behavior of the circuit. This circuit can be analyzed further to determine its impedance, phase angle, and resonance characteristics depending on the specific application in which it is used.
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