Rank in order the change AU of an electron as it moves from i to f? a) b) Ob

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Chapter1: Units, Trigonometry. And Vectors
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**Title: Ranking the Change in Potential Energy of an Electron**

**Problem Statement:**
Rank in order the change in potential energy (\( \Delta U \)) of an electron as it moves from point \( i \) (initial) to point \( f \) (final).

**Diagrams:**
- **a)** 
  - Initial Position \( i \): A charge is denoted with a "+" sign.
  - Initial Point \( i \): Indicated with a dot.
  - Final Point \( f \): Indicated with a dot below \( i \).

- **b)**
  - Initial Position \( i \): A charge is denoted with a "+" sign.
  - Initial Point \( i \): Indicated with a dot.
  - Final Point \( f \): Indicated with a dot to the right of \( i \).

- **c)**
  - Initial Position \( i \): A charge is denoted with a "−" sign.
  - Initial Point \( i \): Indicated with a dot.
  - Final Point \( f \): Indicated with a dot to the right of \( i \).

- **d)**
  - Initial Position \( i \): A charge is denoted with a "+" sign.
  - Initial Point \( i \): Indicated with a dot.
  - Final Point \( f \): Indicated with a dot to the right of \( i \).
  - An additional "−" sign charge is present to the right of \( f \).

**Answer Options:**
- \( \text{b} < \text{a} = \text{d} < \text{c} \)
- \( \text{b} < \text{a} < \text{d} < \text{c} \)
- \( \text{c} < \text{a} < \text{b} < \text{d} \)
- \( \text{c} < \text{a} = \text{d} < \text{b} \)

**Instructions:**
- Analyze the electric potential energy changes for an electron moving in the electric fields depicted.
- Use the given answer options to rank the scenarios from smallest to largest energy change (\( \Delta U \)).
Transcribed Image Text:**Title: Ranking the Change in Potential Energy of an Electron** **Problem Statement:** Rank in order the change in potential energy (\( \Delta U \)) of an electron as it moves from point \( i \) (initial) to point \( f \) (final). **Diagrams:** - **a)** - Initial Position \( i \): A charge is denoted with a "+" sign. - Initial Point \( i \): Indicated with a dot. - Final Point \( f \): Indicated with a dot below \( i \). - **b)** - Initial Position \( i \): A charge is denoted with a "+" sign. - Initial Point \( i \): Indicated with a dot. - Final Point \( f \): Indicated with a dot to the right of \( i \). - **c)** - Initial Position \( i \): A charge is denoted with a "−" sign. - Initial Point \( i \): Indicated with a dot. - Final Point \( f \): Indicated with a dot to the right of \( i \). - **d)** - Initial Position \( i \): A charge is denoted with a "+" sign. - Initial Point \( i \): Indicated with a dot. - Final Point \( f \): Indicated with a dot to the right of \( i \). - An additional "−" sign charge is present to the right of \( f \). **Answer Options:** - \( \text{b} < \text{a} = \text{d} < \text{c} \) - \( \text{b} < \text{a} < \text{d} < \text{c} \) - \( \text{c} < \text{a} < \text{b} < \text{d} \) - \( \text{c} < \text{a} = \text{d} < \text{b} \) **Instructions:** - Analyze the electric potential energy changes for an electron moving in the electric fields depicted. - Use the given answer options to rank the scenarios from smallest to largest energy change (\( \Delta U \)).
Expert Solution
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