Physics equations/18-Electric charge and field/Q:lineChargesCALCULUS

These questions have not been tested.

Solutions to many wikiquiz questions (pdf)
Quizbank (or "testbank" if you prefer)

A

A line charge on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
Answer: $\frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$ , where:

B

A line charge on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?
Answer: $\frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$ , where:

C

A line charge on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?
Answer: $\frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$ , where:

D

A line charge on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
Answer: $\frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$ , where:

E

A line charge on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)?
Answer: $\frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$ , where:

This article is issued from Wikiversity - version of the Thursday, June 11, 2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.