1. Three point charges are located at the corners of a right triangle, A, O and P, respectively. Find the total electric force (magnitude and direction) on the 12 µC charge at A. ke = 9 x 10° N- m²/C2. 8 cm 6 μC 12 μC 16 cm 5 μC P Figure 1: Problem 1.

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**Problem 1**

Three point charges are located at the corners of a right triangle, A, O, and P, respectively. Find the total electric force (magnitude and direction) on the 12 μC charge at A. The constant \( k_e = 9 \times 10^9 \, \text{N} \cdot \text{m}^2/\text{C}^2 \).

**Description of the Diagram:**

- Point A is at the top left corner with a charge of 12 μC.
- Point O is at the top right corner with a charge of 6 μC, 8 cm from point A.
- Point P is at the bottom right, 16 cm directly below point O, and it has a charge of 5 μC.
- The distance from point A to point P is the hypotenuse of the right triangle formed.

**Figure 1** illustrates the setup of Problem 1 with charges and distances labeled.
Transcribed Image Text:**Problem 1** Three point charges are located at the corners of a right triangle, A, O, and P, respectively. Find the total electric force (magnitude and direction) on the 12 μC charge at A. The constant \( k_e = 9 \times 10^9 \, \text{N} \cdot \text{m}^2/\text{C}^2 \). **Description of the Diagram:** - Point A is at the top left corner with a charge of 12 μC. - Point O is at the top right corner with a charge of 6 μC, 8 cm from point A. - Point P is at the bottom right, 16 cm directly below point O, and it has a charge of 5 μC. - The distance from point A to point P is the hypotenuse of the right triangle formed. **Figure 1** illustrates the setup of Problem 1 with charges and distances labeled.
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