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1. Equivalent Capacitance, Charge and Energy. Consider the circuit below. The capacitors are all uncharged when a potential of 300 V is applied between points A and B with S open. After a while, all the capacitors are fully charged. (a) With S open, there are two parallel branches each containing 2 capacitors in series. Sketch the circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (b) Later, S is closed and after a while, all movement of charge ceases. Now we have a bank of 2 parallel capacitors in series with another bank of 2 parallel capacitors. Sketch the new circuit. Reduce to an equivalent capacítance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (c) Comment on what happens to the charge on the capacitors after S is closed. What does the battery do? The circuit in (b) stores more charge and energy than it did in (a). Why? Where did it come from? A 2.0 µF 4.0 µF 4.0 µF 2.0 µF

1. Equivalent Capacitance, Charge and Energy. Consider the circuit below. The capacitors are all uncharged when a potential of 300 V is applied between points A and B with S open. After a while, all the capacitors are fully charged. (a) With S open, there are two parallel branches each containing 2 capacitors in series. Sketch the circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (b) Later, S is closed and after a while, all movement of charge ceases. Now we have a bank of 2 parallel capacitors in series with another bank of 2 parallel capacitors. Sketch the new circuit. Reduce to an equivalent capacítance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (c) Comment on what happens to the charge on the capacitors after S is closed. What does the battery do? The circuit in (b) stores more charge and energy than it did in (a). Why? Where did it come from? A 2.0 µF 4.0 µF 4.0 µF 2.0 µF

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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1. Equivalent Capacitance, Charge and Energy. Consider the circuit below. The capacitors are all uncharged when a potential of 300 V is applied between points A and B with S open. After a while, all the capacitors are fully charged. (a) With S open, there are two parallel branches each containing 2 capacitors in series. Sketch the circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (b) Later, S is closed and after a while, all movement of charge ceases. Now we have a bank of 2 parallel capacitors in series with another bank of 2 parallel capacitors. Sketch the new circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (c) Comment on what happens to the charge on the capacitors after S is closed. What does the battery do? The circuit in (b) stores more charge and energy than it did in (a). Why? Where did it come from? A 2.0 μF 4.0 µF 4.0 µF 2.0 µF B
Transcribed Image Text:1. Equivalent Capacitance, Charge and Energy. Consider the circuit below. The capacitors are all uncharged when a potential of 300 V is applied between points A and B with S open. After a while, all the capacitors are fully charged. (a) With S open, there are two parallel branches each containing 2 capacitors in series. Sketch the circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (b) Later, S is closed and after a while, all movement of charge ceases. Now we have a bank of 2 parallel capacitors in series with another bank of 2 parallel capacitors. Sketch the new circuit. Reduce to an equivalent capacitance. What is the total charge stored in the combination? The total energy? Find the charge and potential drop across each capacitor. (c) Comment on what happens to the charge on the capacitors after S is closed. What does the battery do? The circuit in (b) stores more charge and energy than it did in (a). Why? Where did it come from? A 2.0 μF 4.0 µF 4.0 µF 2.0 µF B
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