The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 7.90 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. +1.0 C +2.0μC (a) E- i (b) E- i -5.0μC 0 0 (0) -3.0C +4.00 0 +6.00 (b) N/C N/C -10PC

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### Understanding Electric Fields: Interactive Exercise

The drawing below illustrates two situations in which electric charges are placed on the x and y-axes. In both scenarios, the charges are equidistant from the origin, specifically 7.90 cm away from point O. Your task is to determine the magnitude of the net electric field at the origin for each configuration.

#### **Configuration (a)**
- **+5.0 µC** at (0, 7.90 cm)
- **-3.0 µC** at (7.90 cm, 0)
- **+2.0 µC** at (0, -7.90 cm)
- **+4.0 µC** at (-7.90 cm, 0)

#### **Configuration (b)**
- **+1.0 µC** at (0, 7.90 cm)
- **-6.0 µC** at (0, -7.90 cm)
- **+4.0 µC** at (7.90 cm, 0)
- **-5.0 µC** at (-7.90 cm, 0)

Please calculate the magnitude of the net electric field at the origin (O) for each of the two scenarios. Use the input boxes to enter your answers.

#### **Questions:**
1. Net electric field for Configuration (a): \(\vec{E}_{a}\) =
   <input type="text" name="E_a" value="0" /> (N/C)

2. Net electric field for Configuration (b): \(\vec{E}_{b}\) =
   <input type="text" name="E_b" value="0" /> (N/C)

#### **Diagrams Description:**
Each diagram represents two-dimensional Cartesian coordinates. 

- In **Configuration (a)**:
    - The \( +5.0 \mu C \) charge is above the origin.
    - The \( -3.0 \mu C \) charge is to the right of the origin.
    - The \( +2.0 \mu C \) charge is below the origin.
    - The \( +4.0 \mu C \) charge is to the left of the origin.

- In **Configuration (b)**:
    - The \( +1.0 \mu C \) charge is above the origin.
    - The \( -6.0 \mu C
Transcribed Image Text:### Understanding Electric Fields: Interactive Exercise The drawing below illustrates two situations in which electric charges are placed on the x and y-axes. In both scenarios, the charges are equidistant from the origin, specifically 7.90 cm away from point O. Your task is to determine the magnitude of the net electric field at the origin for each configuration. #### **Configuration (a)** - **+5.0 µC** at (0, 7.90 cm) - **-3.0 µC** at (7.90 cm, 0) - **+2.0 µC** at (0, -7.90 cm) - **+4.0 µC** at (-7.90 cm, 0) #### **Configuration (b)** - **+1.0 µC** at (0, 7.90 cm) - **-6.0 µC** at (0, -7.90 cm) - **+4.0 µC** at (7.90 cm, 0) - **-5.0 µC** at (-7.90 cm, 0) Please calculate the magnitude of the net electric field at the origin (O) for each of the two scenarios. Use the input boxes to enter your answers. #### **Questions:** 1. Net electric field for Configuration (a): \(\vec{E}_{a}\) = <input type="text" name="E_a" value="0" /> (N/C) 2. Net electric field for Configuration (b): \(\vec{E}_{b}\) = <input type="text" name="E_b" value="0" /> (N/C) #### **Diagrams Description:** Each diagram represents two-dimensional Cartesian coordinates. - In **Configuration (a)**: - The \( +5.0 \mu C \) charge is above the origin. - The \( -3.0 \mu C \) charge is to the right of the origin. - The \( +2.0 \mu C \) charge is below the origin. - The \( +4.0 \mu C \) charge is to the left of the origin. - In **Configuration (b)**: - The \( +1.0 \mu C \) charge is above the origin. - The \( -6.0 \mu C
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