What is the magnitude and direction of electric field for the capacitor below? 150 V OV 3.0 mm I 1.0 mm 1 1.0 mm 1 k 1.0 mm

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Chapter1: Units, Trigonometry. And Vectors
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**Title: Calculating the Electric Field in a Capacitor**

**Objective:**
Determine the magnitude and direction of the electric field for the given capacitor setup.

**Description:**

The diagram illustrates a parallel plate capacitor. The left plate is connected to 150 V, and the right plate is connected to 0 V. The distance between the plates is indicated as 3.0 mm. The spacing between specific points is marked as 1.0 mm segments.

**Analysis:**

1. **Potential Difference (ΔV):**  
   - The potential difference between the plates is calculated as:
     \[
     \Delta V = 150 \, \text{V} - 0 \, \text{V} = 150 \, \text{V}
     \]

2. **Distance Between Plates (d):**  
   - The given distance between the plates is 3.0 mm, which can be converted to meters for standard SI units:
     \[
     d = 3.0 \, \text{mm} = 0.003 \, \text{m}
     \]

3. **Electric Field (E):**  
   - The electric field (E) between the plates of the capacitor can be calculated using the formula:
     \[
     E = \frac{\Delta V}{d} = \frac{150 \, \text{V}}{0.003 \, \text{m}} = 50,000 \, \text{V/m}
     \]

4. **Direction of the Electric Field:**  
   - The electric field direction is from the positive plate (150 V) to the negative plate (0 V).

**Conclusion:**

- **Magnitude of the Electric Field:** 50,000 V/m
- **Direction:** From left (150 V) to right (0 V)

This analysis of the capacitor helps understand basic electric field concepts and their calculation in electrostatics.
Transcribed Image Text:**Title: Calculating the Electric Field in a Capacitor** **Objective:** Determine the magnitude and direction of the electric field for the given capacitor setup. **Description:** The diagram illustrates a parallel plate capacitor. The left plate is connected to 150 V, and the right plate is connected to 0 V. The distance between the plates is indicated as 3.0 mm. The spacing between specific points is marked as 1.0 mm segments. **Analysis:** 1. **Potential Difference (ΔV):** - The potential difference between the plates is calculated as: \[ \Delta V = 150 \, \text{V} - 0 \, \text{V} = 150 \, \text{V} \] 2. **Distance Between Plates (d):** - The given distance between the plates is 3.0 mm, which can be converted to meters for standard SI units: \[ d = 3.0 \, \text{mm} = 0.003 \, \text{m} \] 3. **Electric Field (E):** - The electric field (E) between the plates of the capacitor can be calculated using the formula: \[ E = \frac{\Delta V}{d} = \frac{150 \, \text{V}}{0.003 \, \text{m}} = 50,000 \, \text{V/m} \] 4. **Direction of the Electric Field:** - The electric field direction is from the positive plate (150 V) to the negative plate (0 V). **Conclusion:** - **Magnitude of the Electric Field:** 50,000 V/m - **Direction:** From left (150 V) to right (0 V) This analysis of the capacitor helps understand basic electric field concepts and their calculation in electrostatics.
The image displays a diagram at the top with two rectangles on either side, representing plates, separated by three spaces each measuring 1.0 mm across, summing up to a total distance of 3.0 mm between the plates.

Below the diagram, a question poses multiple-choice options regarding the electric field strength and direction between the plates:

- ○ 450,000 V/m, to the right
- ○ 50 V/m to the right
- ○ 50,000 V/m, to the left
- ○ 450,000 V/m, to the left
- ○ 50 V/m to the left
- ○ 50,000 V/m, to the right

This setup is typically used to ask about electric field calculations in physics, focusing on concepts like field strength, direction, and distance between charged plates.
Transcribed Image Text:The image displays a diagram at the top with two rectangles on either side, representing plates, separated by three spaces each measuring 1.0 mm across, summing up to a total distance of 3.0 mm between the plates. Below the diagram, a question poses multiple-choice options regarding the electric field strength and direction between the plates: - ○ 450,000 V/m, to the right - ○ 50 V/m to the right - ○ 50,000 V/m, to the left - ○ 450,000 V/m, to the left - ○ 50 V/m to the left - ○ 50,000 V/m, to the right This setup is typically used to ask about electric field calculations in physics, focusing on concepts like field strength, direction, and distance between charged plates.
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