The two charge distributions shown each contain a net charge $$\(+Q\)$$ uniformly distributed along an arc of a circle with radius $$\(r\)$$. In distribution $$\(A\)$$ this charge is spread along an arc twice the length of the arc in distribution $$\(B\)$$. Which of the following comparisons of the potential $$\(V\)$$ and the magnitude $$\(E\)$$ of the electric field at point $$\(A\)$$ and point $$\(B\)$$ are true?
A.
\(V_{\mathrm{A}}> V_{B}\) and \(E_{\mathrm{A}}> E_{\mathrm{B}}\)
B.
\(V_{\mathrm{A}}> V_{B}\) and \(E_{\mathrm{A}}< E_{\mathrm{B}}\)
C.
\(V_{\mathrm{A}}=V_{B}\) and \(E_{\mathrm{A}}> E_{\mathrm{B}}\)
D.
\(V_{\mathrm{A}}=V_{B}\) and \(E_{\mathrm{A}}< E_{\mathrm{B}}\)
E.
\(V_{\mathrm{A}}< V_{B}\) and \(E_{\mathrm{A}}> E_{\mathrm{B}}\)
Exam No：AP Physics C(EM) Practice Test Year：2024 Question No：23
Answer:
D
Knowledge points:
1.5 Electrostatics: Fields and Potentials of Other Charge Distributions
Solution:
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