A Uniform Linear Charge of 2 $$\int _ { 0 } ^ { 3 } \frac { - 18 x d x } { \left( 4 + x ^ { 2 } \right) ^ { 3 / 2 } }$$

question 99

Multiple Choice

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 x component of the electric field at y = 2 m on the y axis?

• A) \[\int _ { 0 } ^ { 3 } \frac { - 18 x d x } { \left( 4 + x ^ { 2 } \right) ^ { 3 / 2 } }\]
• B) \(\int _ { 0 } ^ { 3 } \frac { - 18 d x } { ( 2 + x ) ^ { 2 } }\)
• C) \(\int _ { 0 } ^ { 3 } \frac { - 18 d x } { 4 + x ^ { 2 } }\)
• D) \(\int _ { 0 } ^ { 3 } \frac { - 18 x d x } { ( 2 + x ) ^ { 3 } }\)
• E)none of these

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