The figure below shows a small, charged bead, with a charge of q = +42.0 nC, that moves a distance of d = 0.177 m from point A to point B in the presence of a uniform electric field E of magnitude 280 N/C, pointing right. E A (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude N direction PEB ---Select--- (b) What is the work (in J) done on the bead by the electric force as it moves from A to B? - PE = B (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) J (d) What is the potential difference (in V) between A and B? VB-VA =

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Chapter18: Electric Charge And Electric Field
Section: Chapter Questions
Problem 51PE: (a) What is the electric field 5.00 m from the center of the terminal of a Van de Graaff with a 3.00...
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**Transcription for Educational Website**

The figure provided illustrates a small, charged bead with a charge of \( q = +42.0 \, \text{nC} \), moving a distance \( d = 0.177 \, \text{m} \) from point \( A \) to point \( B \). This movement occurs in a uniform electric field \( \overrightarrow{E} \) with a magnitude of \( 280 \, \text{N/C} \), directed to the right.

**Diagram Details:**
- The diagram shows two points, \( A \) and \( B \), with a horizontal arrow labeled \( \overrightarrow{E} \), indicating the direction of the electric field pointing to the right.
- Below point \( A \), the charge \( q \) is represented with a positive sign.
- The distance \( d \) is depicted between points \( A \) and \( B \).

**Questions:**

(a) What is the magnitude (in N) and direction of the electric force on the bead?
   - Magnitude: [Input Box] N
   - Direction: [Selection Menu] 

(b) What is the work (in J) done on the bead by the electric force as it moves from \( A \) to \( B \)?
   - [Input Box] J

(c) What is the change of the electric potential energy (in J) as the bead moves from \( A \) to \( B \)? (The system consists of the bead and its surroundings.)
   - \( PE_B - PE_A = \) [Input Box] J

(d) What is the potential difference (in V) between \( A \) and \( B \)?
   - \( V_B - V_A = \) [Input Box] V

This exercise focuses on understanding the interaction of a charged particle with an electric field, calculating electric force, work done, changes in potential energy, and potential differences.
Transcribed Image Text:**Transcription for Educational Website** The figure provided illustrates a small, charged bead with a charge of \( q = +42.0 \, \text{nC} \), moving a distance \( d = 0.177 \, \text{m} \) from point \( A \) to point \( B \). This movement occurs in a uniform electric field \( \overrightarrow{E} \) with a magnitude of \( 280 \, \text{N/C} \), directed to the right. **Diagram Details:** - The diagram shows two points, \( A \) and \( B \), with a horizontal arrow labeled \( \overrightarrow{E} \), indicating the direction of the electric field pointing to the right. - Below point \( A \), the charge \( q \) is represented with a positive sign. - The distance \( d \) is depicted between points \( A \) and \( B \). **Questions:** (a) What is the magnitude (in N) and direction of the electric force on the bead? - Magnitude: [Input Box] N - Direction: [Selection Menu] (b) What is the work (in J) done on the bead by the electric force as it moves from \( A \) to \( B \)? - [Input Box] J (c) What is the change of the electric potential energy (in J) as the bead moves from \( A \) to \( B \)? (The system consists of the bead and its surroundings.) - \( PE_B - PE_A = \) [Input Box] J (d) What is the potential difference (in V) between \( A \) and \( B \)? - \( V_B - V_A = \) [Input Box] V This exercise focuses on understanding the interaction of a charged particle with an electric field, calculating electric force, work done, changes in potential energy, and potential differences.
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