-6 nC 2 nC 2 nC 5 cm 45° 45°, 5 cm 1. If Q= +23 nC in the figure above, what is the magnitude of the net force that it experiences? Answer: 2.6 x 104 N

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If Q= +23 nC in the figure above, what is the magnitude of the net force that it experiences?

**Chapter 16 Practice Problems**

The image shows a diagram with three charges arranged in a triangular pattern:

- In the center, there is a charge labeled as \(-6 \text{ nC}\).
- Two positive charges, each labeled \(2 \text{ nC}\), are positioned symmetrically around the central charge.
- Each \(2 \text{ nC}\) charge is \(5 \text{ cm}\) away from the \(-6 \text{ nC}\) charge.
- The angle between the lines connecting the \(-6 \text{ nC}\) charge to each of the \(2 \text{ nC}\) charges is \(45^\circ\).

1. **Problem 1**: If the charge \(Q\) in the figure above has the magnitude of its total force in its experiences.
   - **Answer**: \(2.6 \times 10^{-6} \text{ N}\)

2. **Problem 2**: Determine the electric field, \(E\), at the origin if there are two charges nearby, each with a magnitude of \(3.4 \mu \text{C}\). The first is located at \((0, 8 \text{ cm})\) and the second is located at \((6 \text{ cm}, 4 \text{ cm})\).
   - **Answer**: \(2.5 \times 10^{3} \text{ N/C}\) at an angle of \(0.239^\circ\)

3. **Problem 3**: Two point charges, \(40.0 \mu \text{C}\) and \(8.00 \mu \text{C}\) are separated by a distance of \(20.0 \text{ cm}\). What is the magnitude and direction of the electric field midway between these two charges?
   - **Answer**: \(2.5 \times 10^{3} \text{ N/C}\) to the right
Transcribed Image Text:**Chapter 16 Practice Problems** The image shows a diagram with three charges arranged in a triangular pattern: - In the center, there is a charge labeled as \(-6 \text{ nC}\). - Two positive charges, each labeled \(2 \text{ nC}\), are positioned symmetrically around the central charge. - Each \(2 \text{ nC}\) charge is \(5 \text{ cm}\) away from the \(-6 \text{ nC}\) charge. - The angle between the lines connecting the \(-6 \text{ nC}\) charge to each of the \(2 \text{ nC}\) charges is \(45^\circ\). 1. **Problem 1**: If the charge \(Q\) in the figure above has the magnitude of its total force in its experiences. - **Answer**: \(2.6 \times 10^{-6} \text{ N}\) 2. **Problem 2**: Determine the electric field, \(E\), at the origin if there are two charges nearby, each with a magnitude of \(3.4 \mu \text{C}\). The first is located at \((0, 8 \text{ cm})\) and the second is located at \((6 \text{ cm}, 4 \text{ cm})\). - **Answer**: \(2.5 \times 10^{3} \text{ N/C}\) at an angle of \(0.239^\circ\) 3. **Problem 3**: Two point charges, \(40.0 \mu \text{C}\) and \(8.00 \mu \text{C}\) are separated by a distance of \(20.0 \text{ cm}\). What is the magnitude and direction of the electric field midway between these two charges? - **Answer**: \(2.5 \times 10^{3} \text{ N/C}\) to the right
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