In the figure what is the net electric potential at the origin due to the circular arc of charge Q1 = +1.42 pC and the two particles of charges Q2 = 3.80Q1 and Q3 = -1.80Q1? The arc's center of curvature is at the origin and its radius is R = 8.00 m; the angle indicated is e = 24.0°.

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In the figure, what is the net electric potential at the origin due to the circular arc of charge \( Q_1 = +1.42 \, \text{pC} \) and the two particles of charges \( Q_2 = 3.80Q_1 \) and \( Q_3 = -1.80Q_1 \)? The arc's center of curvature is at the origin, and its radius is \( R = 8.00 \, \text{m} \); the angle indicated is \( \theta = 24.0^\circ \).

### Diagram Explanation:
- **Circular Arc:** This is represented by a pink semicircular line on the left side of the origin. It carries charge \( Q_1 \) and is centered at the origin with radius \( R \).
- **Point Charge \( Q_2 \):** Located at an angle \( \theta = 24.0^\circ \) from the positive x-axis, the charge \( Q_2 = 3.80Q_1 \) is placed at a distance of \( 2.00R \) from the origin.
- **Point Charge \( Q_3 \):** Situated on the negative y-axis at a distance \( R \) from the origin, it has a charge of \( Q_3 = -1.80Q_1 \).
   
### Number Entry:
- Students are asked to calculate and enter the net electric potential at the origin, considering the given parameters. The tolerance for the result is ±2%.

*Use the correct number of significant digits when entering the answer.*
Transcribed Image Text:In the figure, what is the net electric potential at the origin due to the circular arc of charge \( Q_1 = +1.42 \, \text{pC} \) and the two particles of charges \( Q_2 = 3.80Q_1 \) and \( Q_3 = -1.80Q_1 \)? The arc's center of curvature is at the origin, and its radius is \( R = 8.00 \, \text{m} \); the angle indicated is \( \theta = 24.0^\circ \). ### Diagram Explanation: - **Circular Arc:** This is represented by a pink semicircular line on the left side of the origin. It carries charge \( Q_1 \) and is centered at the origin with radius \( R \). - **Point Charge \( Q_2 \):** Located at an angle \( \theta = 24.0^\circ \) from the positive x-axis, the charge \( Q_2 = 3.80Q_1 \) is placed at a distance of \( 2.00R \) from the origin. - **Point Charge \( Q_3 \):** Situated on the negative y-axis at a distance \( R \) from the origin, it has a charge of \( Q_3 = -1.80Q_1 \). ### Number Entry: - Students are asked to calculate and enter the net electric potential at the origin, considering the given parameters. The tolerance for the result is ±2%. *Use the correct number of significant digits when entering the answer.*
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