A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m. Which of the following integrals is correct for the y component of the electric field at y = 4 m on the y axis?

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The problem statement is:

"A uniform linear charge of 2.0 nC/m is distributed along the x-axis from x = 0 to x = 3 m. Which of the following integrals is correct for the y component of the electric field at y = 4 m on the y-axis?"

The options provided are:

**Option A:**
\[
\int_{0}^{3} \frac{72dx}{(16 + x^2)^{3/2}}
\]

**Option B:**
\[
\int_{0}^{3} \frac{18dx}{(16 + x^2)^{3/2}}
\]

**Option C:**
\[
\int_{0}^{3} \frac{72dx}{16 + x^2}
\]

**Option D:**
\[
\int_{3}^{0} \frac{18dx}{16 + x^2}
\]

**Option E:**
"none of these"
Transcribed Image Text:The problem statement is: "A uniform linear charge of 2.0 nC/m is distributed along the x-axis from x = 0 to x = 3 m. Which of the following integrals is correct for the y component of the electric field at y = 4 m on the y-axis?" The options provided are: **Option A:** \[ \int_{0}^{3} \frac{72dx}{(16 + x^2)^{3/2}} \] **Option B:** \[ \int_{0}^{3} \frac{18dx}{(16 + x^2)^{3/2}} \] **Option C:** \[ \int_{0}^{3} \frac{72dx}{16 + x^2} \] **Option D:** \[ \int_{3}^{0} \frac{18dx}{16 + x^2} \] **Option E:** "none of these"
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