The potential in a region of space is given by the formula $$\(V=a r\)$$, where $$\(r\)$$ is a radial coordinate and $$\(a\)$$ is a positive constant. Which of the following statements is true of this region?
A.
The electric field has magnitude \(a\) and points away from the origin of the coordinates (in the \(+\hat{\imath}\)-direction).
B.
The electric field has a magnitude \(a\) and points toward the origin (in the \(+\hat{r}\)-direction).
C.
The electric field has a magnitude \(r^{2} / 2 a\) and points away from the origin (in the \(+\hat{r}\)-direction).
D.
The electric field has a magnitude \(r^{2} / 2 a\) and points toward the origin (in the \(+\hat{r}\)-direction).
E.
The electric force is nonconservative.
Exam No：AP Physics C(EM) Practice Test Year：2024 Question No：APPhysicsCEM2024AP0082
Answer:
B
Knowledge points:
1.2 Electrostatics: Electric Field and Electric Potential
Solution:
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