You try it!! Find the electric force felt on the charge on the bottom-left corner of the square shown below. Each charge is of equal magnitude q = 3E-6 and a= 20ст. 1+q a b+ a y E, E3 45° E 3.

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Chapter1: Units, Trigonometry. And Vectors
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**Activity: Calculating Electric Force on a Charge**

**Task:** Find the electric force felt on the charge located at the bottom-left corner of the square shown below. Each charge has an equal magnitude \( q = 3 \times 10^{-6} \) C, and the side length \( a = 20 \) cm.

**Diagram Explanation:**

The diagram presents a square with three charges placed at the corners, labeled 1, 2, and 3:

1. **Top-Left Corner (Label 1):** 
   - Charge: \( +q \).
   - Position: Displays a vertical distance of \( a \) downwards marked as \( y \).

2. **Top-Right Corner (Label 2):**
   - Charge: \( +q \).
   - Connected horizontally to the top-left corner with distance \( a \).

3. **Bottom-Right Corner (Label 3):**
   - Charge: \( -q \).
   - Aligned horizontally with the bottom-left charge at distance \( a \).

4. **Bottom-Left Corner:**
   - Charge: \( -q \) (where the electric force is to be calculated).
   - Forces acting on this charge are depicted as \( E_1 \), \( E_2 \), and \( E_3 \).

**Electrical Force Vectors:**

- **\( E_1 \):** Directed vertically downward with charge alignment from the top-left to the bottom-left.
- **\( E_2 \):** Angled at \( 45^\circ \) downwards-left, contributing to diagonal interaction.
- **\( E_3 \):** Directed horizontally to the left, indicating interaction with the bottom-right charge.

Each vector symbolizes the direction and interaction forces between the respective charges. The vector \( E_2 \) being at \( 45^\circ \) suggests possible simplification using components in calculations.
Transcribed Image Text:**Activity: Calculating Electric Force on a Charge** **Task:** Find the electric force felt on the charge located at the bottom-left corner of the square shown below. Each charge has an equal magnitude \( q = 3 \times 10^{-6} \) C, and the side length \( a = 20 \) cm. **Diagram Explanation:** The diagram presents a square with three charges placed at the corners, labeled 1, 2, and 3: 1. **Top-Left Corner (Label 1):** - Charge: \( +q \). - Position: Displays a vertical distance of \( a \) downwards marked as \( y \). 2. **Top-Right Corner (Label 2):** - Charge: \( +q \). - Connected horizontally to the top-left corner with distance \( a \). 3. **Bottom-Right Corner (Label 3):** - Charge: \( -q \). - Aligned horizontally with the bottom-left charge at distance \( a \). 4. **Bottom-Left Corner:** - Charge: \( -q \) (where the electric force is to be calculated). - Forces acting on this charge are depicted as \( E_1 \), \( E_2 \), and \( E_3 \). **Electrical Force Vectors:** - **\( E_1 \):** Directed vertically downward with charge alignment from the top-left to the bottom-left. - **\( E_2 \):** Angled at \( 45^\circ \) downwards-left, contributing to diagonal interaction. - **\( E_3 \):** Directed horizontally to the left, indicating interaction with the bottom-right charge. Each vector symbolizes the direction and interaction forces between the respective charges. The vector \( E_2 \) being at \( 45^\circ \) suggests possible simplification using components in calculations.
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