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title: "The electric potential along the \\(x\\)-axis in a certain region of space is given by the function \\(V(x) = ax^2 – bx\\), where \\(a\\) and \\(b\\) are positive constants with appropriate SI units. Which of the following expressions represents the \\(x\\)-component of the electric field, \\(E_x(x)\\), as a function of position?"
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url: "https://nerd-notes.com/ubq/121035/"
date_modified: "2026-08-23T04:57:22+00:00"
---

# The electric potential along the \(x\)-axis in a certain region of space is given by the function \(V(x) = ax^2 – bx\), where \(a\) and \(b\) are positive constants with appropriate SI units. Which of the following expressions represents the \(x\)-component of the electric field, \(E_x(x)\), as a function of position?

The electric potential along the \(x\)-axis in a certain region of space is given by the function \(V(x) = ax^2 - bx\), where \(a\) and \(b\) are positive constants with appropriate SI units. Which of the following expressions represents the \(x\)-component of the electric field, \(E_x(x)\), as a function of position?

- **A.** \(E_x(x) = ax - b\)
- **B.** \(E_x(x) = b - ax\)
- **C.** \(E_x(x) = 2ax - b\)
- **D.** \(E_x(x) = b - 2ax\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121035/*