Four identical charged particles (q = +10.7 μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 63.6 cm and W = 14.5 cm. W @ L (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. N (b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. (counterclockwise from the +x-axis) Need Help? Read It
Four identical charged particles (q = +10.7 μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 63.6 cm and W = 14.5 cm. W @ L (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. N (b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. (counterclockwise from the +x-axis) Need Help? Read It
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![**Electric Force on a Charge**
**Problem Statement:**
Four identical charged particles (\( q = +10.7 \, \mu \text{C} \)) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are \( L = 63.6 \, \text{cm} \) and \( W = 14.5 \, \text{cm} \).
![Diagram Description]
- The diagram shows a rectangle situated in the xy-plane.
- The rectangle has a length (\( L \)) along the x-axis and a width (\( W \)) along the y-axis.
- There are four charged particles, each with charge \( q \), placed at each corner of the rectangle.
Corners and Coordinates:
- Lower left corner: Charge \( q \)
- Lower right corner: Charge \( q \)
- Upper left corner: Charge \( q \)
- Upper right corner: Charge \( q \)
The rectangle dimensions:
- Length \( L = 63.6 \, \text{cm} \)
- Width \( W = 14.5 \, \text{cm} \)
**Questions:**
(a) Calculate the magnitude of the total electric force exerted on the charge at the lower-left corner by the other three charges.
\([ \text{Answer in} \, \text{N} ]\)
(b) Calculate the direction of the total electric force exerted on the charge at the lower-left corner by the other three charges.
\([ \text{Answer in} \, \degree \, \text{(counterclockwise from the +x-axis)} ]\)
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This layout provides a clear and concise depiction of the problem along with its essential variables. The illustration support helps visualize the configuration for better understanding and calculation of electrical forces in this scenario.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc372217a-7cd5-47a2-b963-c57d0a9e3896%2F9ca9047f-d2f1-4478-8c56-2952ac9d93f2%2Fxkj4ja_processed.png&w=3840&q=75)
Transcribed Image Text:**Electric Force on a Charge**
**Problem Statement:**
Four identical charged particles (\( q = +10.7 \, \mu \text{C} \)) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are \( L = 63.6 \, \text{cm} \) and \( W = 14.5 \, \text{cm} \).
![Diagram Description]
- The diagram shows a rectangle situated in the xy-plane.
- The rectangle has a length (\( L \)) along the x-axis and a width (\( W \)) along the y-axis.
- There are four charged particles, each with charge \( q \), placed at each corner of the rectangle.
Corners and Coordinates:
- Lower left corner: Charge \( q \)
- Lower right corner: Charge \( q \)
- Upper left corner: Charge \( q \)
- Upper right corner: Charge \( q \)
The rectangle dimensions:
- Length \( L = 63.6 \, \text{cm} \)
- Width \( W = 14.5 \, \text{cm} \)
**Questions:**
(a) Calculate the magnitude of the total electric force exerted on the charge at the lower-left corner by the other three charges.
\([ \text{Answer in} \, \text{N} ]\)
(b) Calculate the direction of the total electric force exerted on the charge at the lower-left corner by the other three charges.
\([ \text{Answer in} \, \degree \, \text{(counterclockwise from the +x-axis)} ]\)
**Need Help?**
Click **Read It** for additional assistance.
---
This layout provides a clear and concise depiction of the problem along with its essential variables. The illustration support helps visualize the configuration for better understanding and calculation of electrical forces in this scenario.
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