# QB/c18ElectricChargeField lineCharges

< QB

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Attribution for each question is documented in the Appendix}
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\question A line of charge density \textlambda\  situated 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)?$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice $$-$$7
\choice $$-$$3
\choice $$-$$3
\choice 3
\CorrectChoice 2
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice a) 5
\choice b) s$$-$$4
\choice c) 5$$-$$s
\CorrectChoice d) 1$$-$$s
\choice e) s$$-$$1
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice 1/2
\choice 2/3
\choice 2
\CorrectChoice 3/2
\choice 3
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice s$$-$$3
\choice 3$$-$$s
\choice 8
\choice s$$-$$7
\CorrectChoice 7$$-$$s
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice 7\textsuperscript{2} + (8$$-$$s)\textsuperscript{2}
\choice 7\textsuperscript{2} + 8\textsuperscript{2}
\CorrectChoice (7-s)\textsuperscript{2} + 8\textsuperscript{2}
\choice 7\textsuperscript{2} + (3$$-$$s)\textsuperscript{2}
\choice 3\textsuperscript{2} + 8\textsuperscript{2}
\end{choices}

\question A line of charge density \textlambda\  situated 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)?$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice 3$$-$$s
\choice 3
\choice s$$-$$7
\CorrectChoice 7$$-$$s
\choice s$$-$$3
\end{choices}

\question A line of charge density \textlambda\  situated 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)?$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice 2
\choice 3
\CorrectChoice 3/2
\choice 1/2
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br /> $$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice 2
\choice s $$-$$ 2
\choice 2 $$-$$ s
\choice s $$-$$ 9
\CorrectChoice 9 $$-$$ s
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br /> $$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice 9\textsuperscript{2} + (7-s)\textsuperscript{2}
\choice 9\textsuperscript{2} + (2-s)\textsuperscript{2}
\choice 7\textsuperscript{2} + (2-s)\textsuperscript{2}
\choice 2\textsuperscript{2} + (7-s)\textsuperscript{2}
\CorrectChoice 2\textsuperscript{2} + (9-s)\textsuperscript{2}
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice 1/2
\CorrectChoice 4
\choice 2
\choice 8
\end{choices}

\question A line of charge density \textlambda\  situated 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)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice s$$-$$8
\choice 8$$-$$s
\choice s$$-$$4
\choice 4$$-$$s
\CorrectChoice 4
\end{choices}

\question A line of charge density \textlambda\  situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\choice s$$-$$8
\CorrectChoice 8$$-$$s
\choice s$$-$$4
\choice 4$$-$$s
\choice 4
\end{choices}

\question A line of charge density \textlambda\  situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)?<br />$$Answer$$  (assuming $$\mathcal B > \mathcal A$$) $$is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863397}}}\fi
\begin{choices}
\CorrectChoice 5
\choice s$$-$$4
\choice 5$$-$$s
\choice 1$$-$$s
\choice s$$-$$1
\end{choices}

\end{questions}
\newpage