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**Problem 1:** Initially, the switch in Fig. 1 is in its position A and capacitors \(C_2\) and \(C_3\) are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor? **Partial answer:** \(\Delta V_1 = 55 \, \text{V}, \, \Delta V_2 = 33.5 \, \text{V}\). a) While the capacitor is in position A, as shown in Fig. 1, compute the charge \(Q\) accumulated on the plates of the capacitor \(C_1\). **Fig. 1: The scheme for Problem 1** - **Diagram Elements:** - A 100V battery - Capacitor \(C_1 = 15\mu F\) - Capacitor \(C_2 = 20\mu F\) - Capacitor \(C_3 = 30\mu F\) - Switch initially at position A b) After the switch is flipped to position B, the battery is no longer connected to the contour and the charge redistributes between the capacitors as shown in Fig. 2. Notice that the segment between capacitors \(C_2\) and \(C_3\) has to be neutral (therefore, they have the same charge), but the segments connecting \(C_1\) to \(C_2\) and \(C_1\) to \(C_3\) are not neutral. What can you say about the sum of charges \(Q_1\) and \(Q_2\)? **Fig. 2: The scheme for Problem 1b** - **Diagram Elements:** - Capacitors depicted to show redistributed charges - Segment between \(C_2\) and \(C_3\) is charge neutral - Charge \(Q_1\) on \(C_1\), redistributing to \(Q_2\) on \(C_2\) and \(C_3\) c) Use Kirchhoff’s loop law to get another relation between charges \(Q_1\) and \(Q_2\). Starting from point B in Fig. 2, move counterclockwise along the loop and register the potential differences that you encounter when crossing the capac

**Problem 1:** Initially, the switch in Fig. 1 is in its position A and capacitors \(C_2\) and \(C_3\) are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor? **Partial answer:** \(\Delta V_1 = 55 \, \text{V}, \, \Delta V_2 = 33.5 \, \text{V}\). a) While the capacitor is in position A, as shown in Fig. 1, compute the charge \(Q\) accumulated on the plates of the capacitor \(C_1\). **Fig. 1: The scheme for Problem 1** - **Diagram Elements:** - A 100V battery - Capacitor \(C_1 = 15\mu F\) - Capacitor \(C_2 = 20\mu F\) - Capacitor \(C_3 = 30\mu F\) - Switch initially at position A b) After the switch is flipped to position B, the battery is no longer connected to the contour and the charge redistributes between the capacitors as shown in Fig. 2. Notice that the segment between capacitors \(C_2\) and \(C_3\) has to be neutral (therefore, they have the same charge), but the segments connecting \(C_1\) to \(C_2\) and \(C_1\) to \(C_3\) are not neutral. What can you say about the sum of charges \(Q_1\) and \(Q_2\)? **Fig. 2: The scheme for Problem 1b** - **Diagram Elements:** - Capacitors depicted to show redistributed charges - Segment between \(C_2\) and \(C_3\) is charge neutral - Charge \(Q_1\) on \(C_1\), redistributing to \(Q_2\) on \(C_2\) and \(C_3\) c) Use Kirchhoff’s loop law to get another relation between charges \(Q_1\) and \(Q_2\). Starting from point B in Fig. 2, move counterclockwise along the loop and register the potential differences that you encounter when crossing the capac

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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Hello, I only need help with part B because I don't understand it. thank you.

**Problem 1:** Initially, the switch in Fig. 1 is in its position A and capacitors \(C_2\) and \(C_3\) are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor? **Partial answer:** \(\Delta V_1 = 55 \, \text{V}, \, \Delta V_2 = 33.5 \, \text{V}\). a) While the capacitor is in position A, as shown in Fig. 1, compute the charge \(Q\) accumulated on the plates of the capacitor \(C_1\). **Fig. 1: The scheme for Problem 1** - **Diagram Elements:** - A 100V battery - Capacitor \(C_1 = 15\mu F\) - Capacitor \(C_2 = 20\mu F\) - Capacitor \(C_3 = 30\mu F\) - Switch initially at position A b) After the switch is flipped to position B, the battery is no longer connected to the contour and the charge redistributes between the capacitors as shown in Fig. 2. Notice that the segment between capacitors \(C_2\) and \(C_3\) has to be neutral (therefore, they have the same charge), but the segments connecting \(C_1\) to \(C_2\) and \(C_1\) to \(C_3\) are not neutral. What can you say about the sum of charges \(Q_1\) and \(Q_2\)? **Fig. 2: The scheme for Problem 1b** - **Diagram Elements:** - Capacitors depicted to show redistributed charges - Segment between \(C_2\) and \(C_3\) is charge neutral - Charge \(Q_1\) on \(C_1\), redistributing to \(Q_2\) on \(C_2\) and \(C_3\) c) Use Kirchhoff’s loop law to get another relation between charges \(Q_1\) and \(Q_2\). Starting from point B in Fig. 2, move counterclockwise along the loop and register the potential differences that you encounter when crossing the capac
Transcribed Image Text:**Problem 1:** Initially, the switch in Fig. 1 is in its position A and capacitors \(C_2\) and \(C_3\) are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor? **Partial answer:** \(\Delta V_1 = 55 \, \text{V}, \, \Delta V_2 = 33.5 \, \text{V}\). a) While the capacitor is in position A, as shown in Fig. 1, compute the charge \(Q\) accumulated on the plates of the capacitor \(C_1\). **Fig. 1: The scheme for Problem 1** - **Diagram Elements:** - A 100V battery - Capacitor \(C_1 = 15\mu F\) - Capacitor \(C_2 = 20\mu F\) - Capacitor \(C_3 = 30\mu F\) - Switch initially at position A b) After the switch is flipped to position B, the battery is no longer connected to the contour and the charge redistributes between the capacitors as shown in Fig. 2. Notice that the segment between capacitors \(C_2\) and \(C_3\) has to be neutral (therefore, they have the same charge), but the segments connecting \(C_1\) to \(C_2\) and \(C_1\) to \(C_3\) are not neutral. What can you say about the sum of charges \(Q_1\) and \(Q_2\)? **Fig. 2: The scheme for Problem 1b** - **Diagram Elements:** - Capacitors depicted to show redistributed charges - Segment between \(C_2\) and \(C_3\) is charge neutral - Charge \(Q_1\) on \(C_1\), redistributing to \(Q_2\) on \(C_2\) and \(C_3\) c) Use Kirchhoff’s loop law to get another relation between charges \(Q_1\) and \(Q_2\). Starting from point B in Fig. 2, move counterclockwise along the loop and register the potential differences that you encounter when crossing the capac
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