Three point charges are arranged in a triangle as shown in the figure. + • Point charge Qi has a charge of 5.56 nC. • Point charge Q2 has a charge of 5.92 nC. • Point charge Q3 has a charge of 1.65 nC. • Point charges Q, and Q2 are separated by a distance D12 + of 0.146 m. Point charges Q2 and Q3 are separated by a distance D23 of 0.585 m. D23 • Point charges Q1 and Q3 are separated by a distance D13 of 0.598 m. Ds What is the electrostatic potential energy Utot of this configuration of charges? Assume that zero potential energy corresponds to all the charges being infinitely far apart. Utot = J

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Three point charges are arranged in a triangle as shown in the figure.

- Point charge \( Q_1 \) has a charge of 5.56 nC.
- Point charge \( Q_2 \) has a charge of 5.92 nC.
- Point charge \( Q_3 \) has a charge of 1.65 nC.
- Point charges \( Q_1 \) and \( Q_2 \) are separated by a distance \( D_{12} \) of 0.146 m.
- Point charges \( Q_2 \) and \( Q_3 \) are separated by a distance \( D_{23} \) of 0.585 m.
- Point charges \( Q_1 \) and \( Q_3 \) are separated by a distance \( D_{13} \) of 0.598 m.

**Diagram Explanation:**

The diagram shows a triangular arrangement of three point charges. Charge \( Q_1 \) and \( Q_2 \) are both positive and are colored red, while \( Q_3 \) is negative and colored blue. The distances between the charges are marked as:
- \( D_{12} \) between \( Q_1 \) and \( Q_2 \)
- \( D_{23} \) between \( Q_2 \) and \( Q_3 \)
- \( D_{13} \) between \( Q_1 \) and \( Q_3 \)

What is the electrostatic potential energy \( U_{\text{tot}} \) of this configuration of charges? Assume that zero potential energy corresponds to all the charges being infinitely far apart.

\[ U_{\text{tot}} = \boxed{ \quad } \, \text{J} \]
Transcribed Image Text:Three point charges are arranged in a triangle as shown in the figure. - Point charge \( Q_1 \) has a charge of 5.56 nC. - Point charge \( Q_2 \) has a charge of 5.92 nC. - Point charge \( Q_3 \) has a charge of 1.65 nC. - Point charges \( Q_1 \) and \( Q_2 \) are separated by a distance \( D_{12} \) of 0.146 m. - Point charges \( Q_2 \) and \( Q_3 \) are separated by a distance \( D_{23} \) of 0.585 m. - Point charges \( Q_1 \) and \( Q_3 \) are separated by a distance \( D_{13} \) of 0.598 m. **Diagram Explanation:** The diagram shows a triangular arrangement of three point charges. Charge \( Q_1 \) and \( Q_2 \) are both positive and are colored red, while \( Q_3 \) is negative and colored blue. The distances between the charges are marked as: - \( D_{12} \) between \( Q_1 \) and \( Q_2 \) - \( D_{23} \) between \( Q_2 \) and \( Q_3 \) - \( D_{13} \) between \( Q_1 \) and \( Q_3 \) What is the electrostatic potential energy \( U_{\text{tot}} \) of this configuration of charges? Assume that zero potential energy corresponds to all the charges being infinitely far apart. \[ U_{\text{tot}} = \boxed{ \quad } \, \text{J} \]
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