**Problem Statement:**A charge of 18 nC is uniformly distributed along the y-axis from \( y = 3 \, \text{m} \) to \( y = 5 \, \text{m} \). Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point \( x = +2 \, \text{m} \) on the x-axis?**Answer Choices:****A:** \[\int_{3}^{5} \frac{81 \, dy}{(y^2 + 4)^{1/2}}\]**B:** \[\int_{3}^{5} \frac{162 \, dy}{(y^2 + 4)^{1/2}}\]**C:** \[\int_{3}^{5} \frac{81 \, dy}{y^2 + 4}\]**D:** \[\int_{3}^{5} \frac{162 \, dy}{y^2 + 4}\]**E:** \[\int_{3}^{5} \frac{81 \, dy}{y}\]**Explanation:** The problem involves calculating the electric potential at a specific point due to a line of charge, using the appropriate integral expression. Each answer choice represents a different integration setup for solving the potential.

Given: A charge of the particle is 18 nC. Formula Used: Electric Potential is defined as work done…

A charge of 18 nC is uniformly distributed along the y axis from y = 3 m to y = 5 m. Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point x = +2 m on the x axis?

A charge of 18 nC is uniformly distributed along the y axis from y = 3 m to y = 5 m. Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point x = +2 m on the x axis?

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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Concept explainers

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

**Problem Statement:**

A charge of 18 nC is uniformly distributed along the y-axis from \( y = 3 \, \text{m} \) to \( y = 5 \, \text{m} \). Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point \( x = +2 \, \text{m} \) on the x-axis?

**Answer Choices:**

**A:**
\[
\int_{3}^{5} \frac{81 \, dy}{(y^2 + 4)^{1/2}}
\]

**B:**
\[
\int_{3}^{5} \frac{162 \, dy}{(y^2 + 4)^{1/2}}
\]

**C:**
\[
\int_{3}^{5} \frac{81 \, dy}{y^2 + 4}
\]

**D:**
\[
\int_{3}^{5} \frac{162 \, dy}{y^2 + 4}
\]

**E:**
\[
\int_{3}^{5} \frac{81 \, dy}{y}
\]

**Explanation:** The problem involves calculating the electric potential at a specific point due to a line of charge, using the appropriate integral expression. Each answer choice represents a different integration setup for solving the potential.

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