A Uniform Linear Charge of 2 $$\int _ { 0 } ^ { 3 } \frac { 72 d x } { \left( 16 + x ^ { 2 } \right) ^ { 3 / 2 } }$$

question 77

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 y component of the electric field at y = 4 m on the y axis?

• A) \[\int _ { 0 } ^ { 3 } \frac { 72 d x } { \left( 16 + x ^ { 2 } \right) ^ { 3 / 2 } }\]
• B) \[\int _ { 0 } ^ { 3 } \frac { 18 d x } { \left( 16 + x ^ { 2 } \right) ^ { 3 / 2 } }\]
• C) \(\int _ { 0 } ^ { 3 } \frac { 72 d x } { 16 + x ^ { 2 } }\)
• D) \(\int _ { 3 } ^ { 0 } \frac { 18 d x } { 16 + x ^ { 2 } }\)
• E)none of these

---

Definitions:

Behavior

The actions or reactions of an organism, typically in response to its environment.

Cognitive Dissonance

The mental discomfort experienced by a person holding two or more contradictory beliefs, values, or ideas.

Dissonance

A psychological or emotional state of tension resulting from conflicting attitudes, beliefs, or behaviors.

Festinger

Leon Festinger, an American social psychologist known for his theory of cognitive dissonance, which describes the discomfort experienced when holding two or more conflicting cognitions.