An electric field along x-axis is given as Ex = (4x' + 2x')i, what is the voltage difference between x = 3 and x = 4? i.e. Find V4- V3=? a. 200 V b. 250 V с. -200 V d. – 158 V e. 356 V

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Problem Statement:**

An electric field along the x-axis is given as \( E_x = (4x^3 + 2x^2) \mathbf{i} \). What is the voltage difference between \( x = 3 \) and \( x = 4 \)? i.e., Find \( V_4 - V_3 = ? \)

**Options:**

a. 200 V  
b. 250 V  
c. \(-200\) V  
d. \(-158\) V  
e. 356 V  

**Explanation:**

This problem involves calculating the voltage difference, or potential difference, \( V \), between two points along the x-axis given an electric field. The electric field \( E_x \) is expressed as a function of x, which implies the use of integration to determine the voltage difference.
Transcribed Image Text:**Problem Statement:** An electric field along the x-axis is given as \( E_x = (4x^3 + 2x^2) \mathbf{i} \). What is the voltage difference between \( x = 3 \) and \( x = 4 \)? i.e., Find \( V_4 - V_3 = ? \) **Options:** a. 200 V b. 250 V c. \(-200\) V d. \(-158\) V e. 356 V **Explanation:** This problem involves calculating the voltage difference, or potential difference, \( V \), between two points along the x-axis given an electric field. The electric field \( E_x \) is expressed as a function of x, which implies the use of integration to determine the voltage difference.
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