Three Charges are arranged as shown, 2 meters apart from each other. All charges are 1C in magnitude, with the signs shown. 2 m + 1 C 3) The magnitude of the net force on the middle charge is a. Zero b. 4.5x10⁹ N c. 2.3x10⁹ N d. 2.8x10⁹ N e. 1.7x10⁹ N ←E 1 C 4) The potential energy of this arrangement of charges is a. Zero b. 4.5x10⁹ J -2.3x10⁹ J c. d. 1.1x10¹⁰ J e. -6.8x10⁹ J 2 m O -1 C

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**Arrangement of Charges**

Three charges are arranged linearly, with each charge being 2 meters apart. All charges have a magnitude of 1 Coulomb, with specific signs indicated:

1. A positive charge (+1 C)
2. Another positive charge (+1 C)
3. A negative charge (-1 C)

Each charge is spaced 2 meters from the neighboring charge. The arrangement looks as follows:

- The first charge is +1 C.
- 2 meters to the right, the second charge is another +1 C.
- 2 meters further to the right, the third charge is -1 C.

**Questions:**

3) **The magnitude of the net force on the middle charge is:**
   - a. Zero
   - b. \(4.5 \times 10^9 \, \text{N}\)
   - c. \(2.3 \times 10^9 \, \text{N}\)
   - d. \(2.8 \times 10^9 \, \text{N}\)
   - e. \(1.7 \times 10^9 \, \text{N}\)

4) **The potential energy of this arrangement of charges is:**
   - a. Zero
   - b. \(4.5 \times 10^9 \, \text{J}\)
   - c. \(-2.3 \times 10^9 \, \text{J}\)
   - d. \(1.1 \times 10^{10} \, \text{J}\)
   - e. \(-6.8 \times 10^9 \, \text{J}\)

This exercise tests understanding of electrostatic force and potential energy in a system of point charges.
Transcribed Image Text:**Arrangement of Charges** Three charges are arranged linearly, with each charge being 2 meters apart. All charges have a magnitude of 1 Coulomb, with specific signs indicated: 1. A positive charge (+1 C) 2. Another positive charge (+1 C) 3. A negative charge (-1 C) Each charge is spaced 2 meters from the neighboring charge. The arrangement looks as follows: - The first charge is +1 C. - 2 meters to the right, the second charge is another +1 C. - 2 meters further to the right, the third charge is -1 C. **Questions:** 3) **The magnitude of the net force on the middle charge is:** - a. Zero - b. \(4.5 \times 10^9 \, \text{N}\) - c. \(2.3 \times 10^9 \, \text{N}\) - d. \(2.8 \times 10^9 \, \text{N}\) - e. \(1.7 \times 10^9 \, \text{N}\) 4) **The potential energy of this arrangement of charges is:** - a. Zero - b. \(4.5 \times 10^9 \, \text{J}\) - c. \(-2.3 \times 10^9 \, \text{J}\) - d. \(1.1 \times 10^{10} \, \text{J}\) - e. \(-6.8 \times 10^9 \, \text{J}\) This exercise tests understanding of electrostatic force and potential energy in a system of point charges.
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