**Educational Website Text****Understanding Electric Potential and Electric Field**The graph illustrated below represents the electric potential \(V\) in a region of space as a function of position \(x\). The electric field is oriented parallel to the \(x\)-axis. Your task is to draw a graph representing the component of the electric field versus \(x\) for this region.**Graph Details:**- **Axes:** - The x-axis is labeled as \(x\) (cm), with a range from 0 to 4 cm. - The y-axis is labeled as \(V\) (V), representing electric potential in volts, with a range from 0 to 30 V.- **Graph Shape:** - The potential starts at 0 V when \(x = 0\) cm. - It increases linearly to 20 V at \(x = 1\) cm. - The potential remains constant at 20 V between \(x = 1\) cm and \(x = 3\) cm. - It then decreases linearly back to 0 V at \(x = 4\) cm.When interpreting this graph, consider that the electric field \(E\) can be determined from the electric potential \(V\) by understanding that \(E = -\frac{dV}{dx}\), where \(\frac{dV}{dx}\) is the slope of the potential \(V\) as a function of \(x\).Remember, the electric field will have distinct behaviors in different sections based on the slope:1. **From 0 to 1 cm:** The slope is positive, indicating a negative electric field direction.2. **From 1 to 3 cm:** The slope is zero, indicating the electric field is zero.3. **From 3 to 4 cm:** The slope is negative, indicating a positive electric field direction.

The negative slope of potential vs distance gives us the value of electrical field in that region.…

The figure below represents a graph of the electric potential in a region of space versus position x, where the electric field is parallel to the x axis. Draw a graph of the x component of the electric field versus x in this region. V (V) 20 10 x (cm) 2. 4

The figure below represents a graph of the electric potential in a region of space versus position x, where the electric field is parallel to the x axis. Draw a graph of the x component of the electric field versus x in this region. V (V) 20 10 x (cm) 2. 4

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

**Educational Website Text**

**Understanding Electric Potential and Electric Field**

The graph illustrated below represents the electric potential \(V\) in a region of space as a function of position \(x\). The electric field is oriented parallel to the \(x\)-axis. Your task is to draw a graph representing the component of the electric field versus \(x\) for this region.

**Graph Details:**

- **Axes:**
- The x-axis is labeled as \(x\) (cm), with a range from 0 to 4 cm.
- The y-axis is labeled as \(V\) (V), representing electric potential in volts, with a range from 0 to 30 V.

- **Graph Shape:**
- The potential starts at 0 V when \(x = 0\) cm.
- It increases linearly to 20 V at \(x = 1\) cm.
- The potential remains constant at 20 V between \(x = 1\) cm and \(x = 3\) cm.
- It then decreases linearly back to 0 V at \(x = 4\) cm.

When interpreting this graph, consider that the electric field \(E\) can be determined from the electric potential \(V\) by understanding that \(E = -\frac{dV}{dx}\), where \(\frac{dV}{dx}\) is the slope of the potential \(V\) as a function of \(x\).

Remember, the electric field will have distinct behaviors in different sections based on the slope:

1. **From 0 to 1 cm:** The slope is positive, indicating a negative electric field direction.
2. **From 1 to 3 cm:** The slope is zero, indicating the electric field is zero.
3. **From 3 to 4 cm:** The slope is negative, indicating a positive electric field direction.

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