A 12-NC Charge Is Distributed Uniformly Along the Y Axis $\int _ { 0 } ^ { 4 } \frac { 216 d y } { \left( 4 + y ^ { 2 } \right) ^ { 3 / 2 } }$

question 155

Multiple Choice

A 12-nC charge is distributed uniformly along the y axis from y = 0 to y = 4 m.Which of the following integrals is correct for the x component of the electric field at x = 2 m on the x axis?

• A) \(\int _ { 0 } ^ { 4 } \frac { 216 d y } { \left( 4 + y ^ { 2 } \right) ^ { 3 / 2 } }\)
• B) \(\int _ { 0 } ^ { 4 } \frac { 54 d y } { \left( 4 + y ^ { 2 } \right) ^ { 3 / 2 } }\)
• C) \(\int _ { 0 } ^ { 4 } \frac { 108 d y } { 4 + y ^ { 2 } }\)
• D) \(\int _ { 0 } ^ { 4 } \frac { 27 d y } { 4 + y ^ { 2 } }\)
• E)none of these

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