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.

   \([ \text{Answer in} \, \degree \, \text{(counterclockwise from the +x-axis)} ]\)

**Need Help?**

Click **Read It** for additional assistance.

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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.
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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