You try it!! Find the electric field 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 +q J2 a a 3 E, E3 45° E

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Chapter1: Units, Trigonometry. And Vectors
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### Electric Field Calculation Challenge

**Problem Statement:**

You try it! Find the electric field felt on the charge at the bottom-left corner of the square shown below. Each charge is of equal magnitude \( q = 3 \times 10^{-6} \) C and \( a = 20 \) cm.

**Diagram Description:**

The diagram features a square with sides labeled \( a \). It includes four charges situated at each corner:

1. At the top-left corner, labeled as 1, there is a charge of \( +q \).
2. At the top-right corner, labeled as 2, there is also a charge of \( +q \).
3. At the bottom-right corner, labeled as 3, there is a charge of \( -q \).
4. At the bottom-left corner, there is a charge of \( -q \).

The electric field vectors are shown as:
- \( E_1 \) pointing horizontally to the left from the bottom charge.
- \( E_2 \) pointing vertically downward, forming a 45-degree angle with the horizontal.
- \( E_3 \) pointing horizontally to the left.

**Coordinates:**

- Distance \( a \) is along both the x-axis and y-axis.
- The vector \( E_2 \) makes a 45-degree angle with the horizontal x-axis.

**Note:**

This setup is designed to aid in calculating the net electric field at the specified point, combining vector directions and magnitudes due to multiple charges.
Transcribed Image Text:### Electric Field Calculation Challenge **Problem Statement:** You try it! Find the electric field felt on the charge at the bottom-left corner of the square shown below. Each charge is of equal magnitude \( q = 3 \times 10^{-6} \) C and \( a = 20 \) cm. **Diagram Description:** The diagram features a square with sides labeled \( a \). It includes four charges situated at each corner: 1. At the top-left corner, labeled as 1, there is a charge of \( +q \). 2. At the top-right corner, labeled as 2, there is also a charge of \( +q \). 3. At the bottom-right corner, labeled as 3, there is a charge of \( -q \). 4. At the bottom-left corner, there is a charge of \( -q \). The electric field vectors are shown as: - \( E_1 \) pointing horizontally to the left from the bottom charge. - \( E_2 \) pointing vertically downward, forming a 45-degree angle with the horizontal. - \( E_3 \) pointing horizontally to the left. **Coordinates:** - Distance \( a \) is along both the x-axis and y-axis. - The vector \( E_2 \) makes a 45-degree angle with the horizontal x-axis. **Note:** This setup is designed to aid in calculating the net electric field at the specified point, combining vector directions and magnitudes due to multiple charges.
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