SWITCH ISIN POSITI a POR. LONG TIm POR LON TIMO, THEN SWITKH IS PeniN POLITION WHAT ARE FINAL CHAREGI AND VOLTAices w C? 2). e) V っ

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**Circuit Diagram and Problem Explanation**

The diagram displays a circuit with a 100V battery connected, a switch, and four capacitors. The switch can be toggled between positions "a" and "b". The capacitors have the following capacitances: 
- \( C_1 = 1 \, \mu F \)
- \( C_2 = 2 \, \mu F \)
- \( C_3 = 3 \, \mu F \)
- \( C_4 = 4 \, \mu F \)

**Initial Setup:**
- The switch has been in position "a" for a long time. 

**Problem Statement:**
After switching to position "b", determine the following:
- The final charges on \( C_1, C_2, C_3, \) and \( C_4 \): 
  - \( q_1 \)
  - \( q_2 \)
  - \( q_3 \)
  - \( q_4 \)
- The final voltages across each capacitor:
  - \( V_1 \)
  - \( V_2 \)
  - \( V_3 \)
  - \( V_4 \)
- Calculate the change in energy (\( \Delta U_c \)) from position "a" to "b".
Transcribed Image Text:**Circuit Diagram and Problem Explanation** The diagram displays a circuit with a 100V battery connected, a switch, and four capacitors. The switch can be toggled between positions "a" and "b". The capacitors have the following capacitances: - \( C_1 = 1 \, \mu F \) - \( C_2 = 2 \, \mu F \) - \( C_3 = 3 \, \mu F \) - \( C_4 = 4 \, \mu F \) **Initial Setup:** - The switch has been in position "a" for a long time. **Problem Statement:** After switching to position "b", determine the following: - The final charges on \( C_1, C_2, C_3, \) and \( C_4 \): - \( q_1 \) - \( q_2 \) - \( q_3 \) - \( q_4 \) - The final voltages across each capacitor: - \( V_1 \) - \( V_2 \) - \( V_3 \) - \( V_4 \) - Calculate the change in energy (\( \Delta U_c \)) from position "a" to "b".
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