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An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a resistor (R = 1.9 k) and a capacitor (C = 2.5 μF). (a) What is the maximum value of the current in the circuit? 0.079 A (b) What are the maximum values of the potential difference across the resistor and the capacitor? AVR, max = 150.2 V 83.74 V AV C, max (c) When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? = 0 = 83.74 83.74 AVR AVC ΔV. source How much charge is on the capacitor at this instant? 209.35 ✓ μC (d) When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source? V V V AVR AVC V V V AV source = How much charge is on the capacitor at this instant? μC

An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a resistor (R = 1.9 k) and a capacitor (C = 2.5 μF). (a) What is the maximum value of the current in the circuit? 0.079 A (b) What are the maximum values of the potential difference across the resistor and the capacitor? AVR, max = 150.2 V 83.74 V AV C, max (c) When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? = 0 = 83.74 83.74 AVR AVC ΔV. source How much charge is on the capacitor at this instant? 209.35 ✓ μC (d) When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source? V V V AVR AVC V V V AV source = How much charge is on the capacitor at this instant? μC

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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**AC Circuit Analysis** An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a resistor (R = 1.9 kΩ) and a capacitor (C = 2.5 μF). **(a)** What is the maximum value of the current in the circuit? - Maximum current (\(I_{max}\)): **0.079 A** **(b)** What are the maximum values of the potential difference across the resistor and the capacitor? - Maximum potential difference across the resistor (\(\Delta V_{R,max}\)): **150.2 V** - Maximum potential difference across the capacitor (\(\Delta V_{C,max}\)): **83.74 V** **(c)** When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? - Potential difference across the resistor (\(\Delta V_{R}\)): **0 V** - Potential difference across the capacitor (\(\Delta V_{C}\)): **83.74 V** - Potential difference across the AC source (\(\Delta V_{source}\)): **83.74 V** **Charge on the capacitor at this instant**: **209.35 μC** **(d)** When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source? - Potential difference across the resistor (\(\Delta V_{R}\)): **(to be calculated) V** - Potential difference across the capacitor (\(\Delta V_{C}\)): **(to be calculated) V** - Potential difference across the AC source (\(\Delta V_{source}\)): **(to be calculated) V** **Charge on the capacitor at this instant**: **(to be calculated) μC**
Transcribed Image Text:**AC Circuit Analysis** An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a resistor (R = 1.9 kΩ) and a capacitor (C = 2.5 μF). **(a)** What is the maximum value of the current in the circuit? - Maximum current (\(I_{max}\)): **0.079 A** **(b)** What are the maximum values of the potential difference across the resistor and the capacitor? - Maximum potential difference across the resistor (\(\Delta V_{R,max}\)): **150.2 V** - Maximum potential difference across the capacitor (\(\Delta V_{C,max}\)): **83.74 V** **(c)** When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? - Potential difference across the resistor (\(\Delta V_{R}\)): **0 V** - Potential difference across the capacitor (\(\Delta V_{C}\)): **83.74 V** - Potential difference across the AC source (\(\Delta V_{source}\)): **83.74 V** **Charge on the capacitor at this instant**: **209.35 μC** **(d)** When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source? - Potential difference across the resistor (\(\Delta V_{R}\)): **(to be calculated) V** - Potential difference across the capacitor (\(\Delta V_{C}\)): **(to be calculated) V** - Potential difference across the AC source (\(\Delta V_{source}\)): **(to be calculated) V** **Charge on the capacitor at this instant**: **(to be calculated) μC**
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**AC Circuit Analysis** An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a resistor (R = 1.9 kΩ) and a capacitor (C = 2.5 μF). **(a)** What is the maximum value of the current in the circuit? - Maximum Current: 0.079 A ✔️ **(b)** What are the maximum values of the potential difference across the resistor and the capacitor? - ΔV<sub>R, max</sub> = 150.2 V ✔️ - ΔV<sub>C, max</sub> = 83.74 V ✔️ **(c)** When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? - ΔV<sub>R</sub> = 0 V ✔️ - ΔV<sub>C</sub> = 83.74 V ✔️ - ΔV<sub>source</sub> = 83.74 V ✔️ **How much charge is on the capacitor at this instant?** - Charge on Capacitor: 209.35 μC ✔️ **(d)** When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source? - ΔV<sub>R</sub> = 150.1 V ✔️ - ΔV<sub>C</sub> = 83.8 V ❌ - ΔV<sub>source</sub> = 172 V ✔️ **How much charge is on the capacitor at this instant?** - Charge on Capacitor: 209.5 μC ❌ **Note**: The check marks (✔️) indicate correct calculations, while the crosses (❌) signify incorrect values.
Transcribed Image Text:**AC Circuit Analysis** An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a resistor (R = 1.9 kΩ) and a capacitor (C = 2.5 μF). **(a)** What is the maximum value of the current in the circuit? - Maximum Current: 0.079 A ✔️ **(b)** What are the maximum values of the potential difference across the resistor and the capacitor? - ΔV<sub>R, max</sub> = 150.2 V ✔️ - ΔV<sub>C, max</sub> = 83.74 V ✔️ **(c)** When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? - ΔV<sub>R</sub> = 0 V ✔️ - ΔV<sub>C</sub> = 83.74 V ✔️ - ΔV<sub>source</sub> = 83.74 V ✔️ **How much charge is on the capacitor at this instant?** - Charge on Capacitor: 209.35 μC ✔️ **(d)** When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source? - ΔV<sub>R</sub> = 150.1 V ✔️ - ΔV<sub>C</sub> = 83.8 V ❌ - ΔV<sub>source</sub> = 172 V ✔️ **How much charge is on the capacitor at this instant?** - Charge on Capacitor: 209.5 μC ❌ **Note**: The check marks (✔️) indicate correct calculations, while the crosses (❌) signify incorrect values.
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