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In the figure a 15 Vbattery is connected across capacitors of capacitances C, = Cs = 3.0 pF and C3 Cs 1.5C2 1.5C4 4.0 pF. What are (a) the equivalent capacitance Ceg of the capacitors and (b) the charge stored by Ceg? What are (c) V1 and (d) q1 of capacitor 1, (e) V2 and (f) 92 of capacitor 2, and (g) V3 and (h) 93 of capacitor 3?

In the figure a 15 Vbattery is connected across capacitors of capacitances C, = Cs = 3.0 pF and C3 Cs 1.5C2 1.5C4 4.0 pF. What are (a) the equivalent capacitance Ceg of the capacitors and (b) the charge stored by Ceg? What are (c) V1 and (d) q1 of capacitor 1, (e) V2 and (f) 92 of capacitor 2, and (g) V3 and (h) 93 of capacitor 3?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need help with d, e, f, g, and h. 

In the figure, a 15 V battery is connected across capacitors with the following capacitances: \( C_1 = C_6 = 3.0 \, \mu \text{F} \) and \( C_3 = C_5 = 1.5 \, \mu \text{F} \), \( C_2 = 1.5 \, \mu \text{F} \), \( C_4 = 4.0 \, \mu \text{F} \). Tasks: 1. Determine the equivalent capacitance \( C_{\text{eq}} \) of the capacitors. 2. Calculate the charge stored by \( C_{\text{eq}} \). 3. Find the voltage \( V_1 \). 4. Compute the charge \( q_1 \) of capacitor 1. 5. Determine \( V_2 \). 6. Compute the charge \( q_2 \) of capacitor 2. 7. Find \( V_3 \). 8. Compute the charge \( q_3 \) of capacitor 3. ### Answers: - **(a) Equivalent Capacitance \( C_{\text{eq}} \):** - \( 2 \, \mu \text{F} \) - **(b) Charge Stored by \( C_{\text{eq}} \):** - \( 49.52 \, \mu \text{C} \) - **(c) Voltage \( V_1 \):** - \( 8.25 \, \text{V} \) - **(d) Charge \( q_1 \):** - \( \_ \) - **(e) Voltage \( V_2 \):** - \( \_ \) - **(f) Charge \( q_2 \):** - \( \_ \) - **(g) Voltage \( V_3 \):** - \( \_ \) - **(h) Charge \( q_3 \):** - \( \_ \) ### Diagram Analysis: The diagram is a schematic showing a combination of capacitors connected to a voltage source. It illustrates the placement of each capacitor in the circuit, important for solving the equivalent capacitance and related values.
Transcribed Image Text:In the figure, a 15 V battery is connected across capacitors with the following capacitances: \( C_1 = C_6 = 3.0 \, \mu \text{F} \) and \( C_3 = C_5 = 1.5 \, \mu \text{F} \), \( C_2 = 1.5 \, \mu \text{F} \), \( C_4 = 4.0 \, \mu \text{F} \). Tasks: 1. Determine the equivalent capacitance \( C_{\text{eq}} \) of the capacitors. 2. Calculate the charge stored by \( C_{\text{eq}} \). 3. Find the voltage \( V_1 \). 4. Compute the charge \( q_1 \) of capacitor 1. 5. Determine \( V_2 \). 6. Compute the charge \( q_2 \) of capacitor 2. 7. Find \( V_3 \). 8. Compute the charge \( q_3 \) of capacitor 3. ### Answers: - **(a) Equivalent Capacitance \( C_{\text{eq}} \):** - \( 2 \, \mu \text{F} \) - **(b) Charge Stored by \( C_{\text{eq}} \):** - \( 49.52 \, \mu \text{C} \) - **(c) Voltage \( V_1 \):** - \( 8.25 \, \text{V} \) - **(d) Charge \( q_1 \):** - \( \_ \) - **(e) Voltage \( V_2 \):** - \( \_ \) - **(f) Charge \( q_2 \):** - \( \_ \) - **(g) Voltage \( V_3 \):** - \( \_ \) - **(h) Charge \( q_3 \):** - \( \_ \) ### Diagram Analysis: The diagram is a schematic showing a combination of capacitors connected to a voltage source. It illustrates the placement of each capacitor in the circuit, important for solving the equivalent capacitance and related values.
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