### Understanding the Force on an Electron in an Electric FieldIn the scenario provided, a 200-N/C electric field (E) is oriented in the positive x direction. To determine the force (F) acting on an electron within this electric field, we can use the formula:\[ F = qE \]Here:- \( q \) is the charge of the electron, which is approximately \(-1.6 \times 10^{-19} \) Coulombs (C)- \( E \) is the electric field strength, given as 200 N/C Since the electron has a negative charge, the direction of the force will be opposite to the direction of the electric field. Let's calculate the force:### Calculation Details\[ F = qE \]\[ F = (-1.6 \times 10^{-19} \, \text{C}) \times (200 \, \text{N/C}) \]\[ F ≈ -3.2 \times 10^{-17} \, \text{N} \]Therefore, the force on the electron in this electric field is approximately \(3.2 \times 10^{-17}\) N in the negative x direction due to the negative charge of the electron.### Answer ChoicesThe question and answers are presented as a multiple-choice format:- ☐ 200 N in the positive x direction- ☐ 200 N in the negative x direction- ☐ 3.2 × 10⁻¹⁷ N, in the positive x direction- ☐ 3.2 × 10⁻¹⁷ N, in the negative x direction- ☐ 0 NThe correct choice, given the above calculation, is:- ☐ 3.2 × 10⁻¹⁷ N, in the negative x direction

Given E= 200 N/C in positive X direction Charge (q) = e = -1.6 x 10-19 C

A 200-N/C electric field is in the positive x direction. The force on an electron in this field is: 200 N in the positive x direction 200 N in the negative x direction 3.2 x 10-17 N, in the positive x direction 3.2 x 10-17 N, in the negative x direction ΟΝ

A 200-N/C electric field is in the positive x direction. The force on an electron in this field is: 200 N in the positive x direction 200 N in the negative x direction 3.2 x 10-17 N, in the positive x direction 3.2 x 10-17 N, in the negative x direction ΟΝ

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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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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

### Understanding the Force on an Electron in an Electric Field

In the scenario provided, a 200-N/C electric field (E) is oriented in the positive x direction. To determine the force (F) acting on an electron within this electric field, we can use the formula:

\[ F = qE \]

Here:
- \( q \) is the charge of the electron, which is approximately \(-1.6 \times 10^{-19} \) Coulombs (C)
- \( E \) is the electric field strength, given as 200 N/C

Since the electron has a negative charge, the direction of the force will be opposite to the direction of the electric field. Let's calculate the force:

### Calculation Details
\[ F = qE \]
\[ F = (-1.6 \times 10^{-19} \, \text{C}) \times (200 \, \text{N/C}) \]
\[ F ≈ -3.2 \times 10^{-17} \, \text{N} \]

Therefore, the force on the electron in this electric field is approximately \(3.2 \times 10^{-17}\) N in the negative x direction due to the negative charge of the electron.

### Answer Choices
The question and answers are presented as a multiple-choice format:

- ☐ 200 N in the positive x direction
- ☐ 200 N in the negative x direction
- ☐ 3.2 × 10⁻¹⁷ N, in the positive x direction
- ☐ 3.2 × 10⁻¹⁷ N, in the negative x direction
- ☐ 0 N

The correct choice, given the above calculation, is:
- ☐ 3.2 × 10⁻¹⁷ N, in the negative x direction

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