Three point charges are arranged as in the figure. Charge q1 = 1.88 nC is at the origin, 92 = 4.37 nC is at y2 = 78.6 μm, and q3 = -8.5 nC is at x3 = -90.3 μm. Calculate the magnitude (in N) of the net electrostatic force on charge 91. L. 93 92 91

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**Three point charges are arranged as in the figure. Charge \( q_1 = 1.88 \, \text{nC} \) is at the origin, \( q_2 = 4.37 \, \text{nC} \) is at \( y_2 = 78.6 \, \mu\text{m} \), and \( q_3 = -8.5 \, \text{nC} \) is at \( x_3 = -90.3 \, \mu\text{m} \). Calculate the magnitude (in N) of the net electrostatic force on charge \( q_1 \).**

**Diagram Explanation:**
- The diagram shows a coordinate system with an \( x \)-axis and \( y \)-axis.
- Three charged particles are depicted:
  - \( q_1 \) is a positive charge located at the origin.
  - \( q_2 \) is a positive charge positioned on the positive \( y \)-axis.
  - \( q_3 \) is a negative charge positioned on the negative \( x \)-axis.
  
The student entered an answer of 29.58.

The correct answer is 21.2867 N with a margin of error of +/- 1%.
Transcribed Image Text:**Three point charges are arranged as in the figure. Charge \( q_1 = 1.88 \, \text{nC} \) is at the origin, \( q_2 = 4.37 \, \text{nC} \) is at \( y_2 = 78.6 \, \mu\text{m} \), and \( q_3 = -8.5 \, \text{nC} \) is at \( x_3 = -90.3 \, \mu\text{m} \). Calculate the magnitude (in N) of the net electrostatic force on charge \( q_1 \).** **Diagram Explanation:** - The diagram shows a coordinate system with an \( x \)-axis and \( y \)-axis. - Three charged particles are depicted: - \( q_1 \) is a positive charge located at the origin. - \( q_2 \) is a positive charge positioned on the positive \( y \)-axis. - \( q_3 \) is a negative charge positioned on the negative \( x \)-axis. The student entered an answer of 29.58. The correct answer is 21.2867 N with a margin of error of +/- 1%.
Expert Solution
Step 1: Outline steps to solve the problem

We will first write an expression for electrostatic force on a point charge due to another point charge. We then use it to find force on the charge q subscript 1 at the origin. The detailed steps are as follows.

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