Charge of Uniform Linear Density 6 $\int _ { 0 } ^ { 3 } \frac { 54 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }$

question 33

Multiple Choice

Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point y = +4 m on the y axis?

• A) \(\int _ { 0 } ^ { 3 } \frac { 54 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }\)
• B) \(\int _ { 0 } ^ { 3 } \frac { 18 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }\)
• C) \(\int _ { 0 } ^ { 3 } \frac { 54 d x } { x ^ { 2 } + 16 }\)
• D) \(\int _ { 0 } ^ { 3 } \frac { 18 d x } { x ^ { 2 } + 16 }\)
• E) \(\int _ { 0 } ^ { 3 } \frac { 108 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }\)