Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Concept explainers

Capacitor
The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.
Question
The circuit in the figure below contains a 9.00 V battery and four capacitors. The two capacitors on the left and right both have the same capacitance of \( C_1 = 7.60 \, \mu \text{F} \). The capacitors in the top two branches have capacitances of 6.00 µF and \( C_2 = 1.60 \, \mu \text{F} \). [Diagram of the circuit with capacitors arranged: two \( C_1 \) in parallel on left and right, a 6.00 µF capacitor on top, and \( C_2 \) on the top] (a) What is the equivalent capacitance (in µF) of all the capacitors in the entire circuit? \[ \text{_____} \, \mu \text{F} \] (b) What is the charge (in µC) stored by each capacitor? - Right 7.60 µF capacitor: \[ \text{_____} \, \mu \text{C} \] - Left 7.60 µF capacitor: \[ \text{_____} \, \mu \text{C} \] - 1.60 µF capacitor: \[ \text{_____} \, \mu \text{C} \] - 6.00 µF capacitor: \[ \text{_____} \, \mu \text{C} \] (c) What is the potential difference (in V) across each capacitor? (Enter the magnitudes.) - Right 7.60 µF capacitor: \[ \text{_____} \, \text{V} \] - Left 7.60 µF capacitor: \[ \text{_____} \, \text{V} \] - 1.60 µF capacitor: \[ \text{_____} \, \text{V} \] - 6.00 µF capacitor: \[ \text{_____} \, \text{V} \]
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Transcribed Image Text:The circuit in the figure below contains a 9.00 V battery and four capacitors. The two capacitors on the left and right both have the same capacitance of \( C_1 = 7.60 \, \mu \text{F} \). The capacitors in the top two branches have capacitances of 6.00 µF and \( C_2 = 1.60 \, \mu \text{F} \). [Diagram of the circuit with capacitors arranged: two \( C_1 \) in parallel on left and right, a 6.00 µF capacitor on top, and \( C_2 \) on the top] (a) What is the equivalent capacitance (in µF) of all the capacitors in the entire circuit? \[ \text{_____} \, \mu \text{F} \] (b) What is the charge (in µC) stored by each capacitor? - Right 7.60 µF capacitor: \[ \text{_____} \, \mu \text{C} \] - Left 7.60 µF capacitor: \[ \text{_____} \, \mu \text{C} \] - 1.60 µF capacitor: \[ \text{_____} \, \mu \text{C} \] - 6.00 µF capacitor: \[ \text{_____} \, \mu \text{C} \] (c) What is the potential difference (in V) across each capacitor? (Enter the magnitudes.) - Right 7.60 µF capacitor: \[ \text{_____} \, \text{V} \] - Left 7.60 µF capacitor: \[ \text{_____} \, \text{V} \] - 1.60 µF capacitor: \[ \text{_____} \, \text{V} \] - 6.00 µF capacitor: \[ \text{_____} \, \text{V} \]
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Step 1: Summarize the details given:
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Step 2: a. Find the equivalent capacitance.
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Step 3: b. Find the charge stored by each capacitor.
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Step 4: c. Find the voltage across each capacitor.
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