**Capacitor Circuit Explanation and Graph Analysis**In this exercise, we are examining a circuit and graph to understand the properties of capacitors. **Figure (a): Circuit Diagram**The circuit diagram features three capacitors:- \( C_1 \)- \( C_2 \)- \( C_3 \) (which is variable)The capacitors \( C_2 \) and \( C_3 \) are connected in parallel and then in series with capacitor \( C_1 \). The entire arrangement is connected across a voltage source \( V \).**Figure (b): Graph of Electric Potential**The graph plots the electric potential \( V_1 \) across capacitor \( C_1 \) as a function of the capacitance \( C_3 \).- The horizontal axis represents \( C_3 \) in microfarads (\( \mu F \)).- The vertical axis represents the electric potential \( V_1 \) in volts (V).- As \( C_3 \) increases, \( V_1 \) approaches an asymptotic value of 10 V.- The horizontal scale is set by \( C_{3s} = 12 \, \mu F \).**Question**Determine:(a) The electric potential \( V \) across the battery.(b) The capacitance of \( C_1 \).(c) The capacitance of \( C_2 \).In the given exercise, the answer for (a) has been identified as 10.0 V. You need to calculate or input the values for (b) and (c) with the appropriate units.

Answered: Image /qna-images/answer/ec6e6970-8734-4247-a8cb-cf39887c5f94.jpg

Capacitor 3 in Figure (a) is a variable capacitor (its capacitance C3 can be varied). Figure (b) gives the electric potential V1 across capacitor 1 versus C3. The horizontal scale is set by C35 = 12 µF. Electric potential V1 approaches an asymptote of 10 V as C3 approaches infinity. What are (a) the electric potential V across the battery, (b)C1, and (c)C2? 10

Capacitor 3 in Figure (a) is a variable capacitor (its capacitance C3 can be varied). Figure (b) gives the electric potential V1 across capacitor 1 versus C3. The horizontal scale is set by C35 = 12 µF. Electric potential V1 approaches an asymptote of 10 V as C3 approaches infinity. What are (a) the electric potential V across the battery, (b)C1, and (c)C2? 10

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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Question

**Capacitor Circuit Explanation and Graph Analysis**

In this exercise, we are examining a circuit and graph to understand the properties of capacitors.

**Figure (a): Circuit Diagram**
The circuit diagram features three capacitors:
- \( C_1 \)
- \( C_2 \)
- \( C_3 \) (which is variable)

The capacitors \( C_2 \) and \( C_3 \) are connected in parallel and then in series with capacitor \( C_1 \). The entire arrangement is connected across a voltage source \( V \).

**Figure (b): Graph of Electric Potential**
The graph plots the electric potential \( V_1 \) across capacitor \( C_1 \) as a function of the capacitance \( C_3 \).

- The horizontal axis represents \( C_3 \) in microfarads (\( \mu F \)).
- The vertical axis represents the electric potential \( V_1 \) in volts (V).
- As \( C_3 \) increases, \( V_1 \) approaches an asymptotic value of 10 V.
- The horizontal scale is set by \( C_{3s} = 12 \, \mu F \).

**Question**
Determine:
(a) The electric potential \( V \) across the battery.
(b) The capacitance of \( C_1 \).
(c) The capacitance of \( C_2 \).

In the given exercise, the answer for (a) has been identified as 10.0 V. You need to calculate or input the values for (b) and (c) with the appropriate units.

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