View source for Physics equations/18-Electric charge and field/Q:lineChargesCALCULUS/Quizbank

<quiz display=simple>
{<!--c18ElectricChargeField_lineCharges_1-->A line of charge density &lambda; 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)?<br><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal B=</math>}
- &minus;7
- &minus;3
- &minus;3
- 3
+ 2
 
{<!--c18ElectricChargeField_lineCharges_2-->A line of charge density &lambda; 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)?<br><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal C=</math>}
- 3&minus;s
- 3
- s&minus;7
+ 7&minus;s 
- s&minus;3
 
{<!--c18ElectricChargeField_lineCharges_3-->A line of charge density &lambda; 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)?<br><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where<math>\mathcal F=</math>}
- 2
- 3
+ 3/2
- 1/2
 
{<!--c18ElectricChargeField_lineCharges_4-->A line of charge density &lambda; 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> <math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal C=</math>:}
- 2
-  s &minus; 2
-  2 &minus; s
-  s &minus; 9
+  9 &minus; s
 
{<!--c18ElectricChargeField_lineCharges_5-->A line of charge density &lambda; 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> <math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal D^2 + \mathcal E^2=</math>:}
-  9<sup>2</sup> + (7-s)<sup>2</sup>
-  9<sup>2</sup> + (2-s)<sup>2</sup>
-  7<sup>2</sup> + (2-s)<sup>2</sup>
-  2<sup>2</sup> + (7-s)<sup>2</sup>
+  2<sup>2</sup> + (9-s)<sup>2</sup>
 
{<!--c18ElectricChargeField_lineCharges_6-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal A=</math>:}
-  1/2
+  4
-  2
-  8
 
{<!--c18ElectricChargeField_lineCharges_7-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal C=</math>:}
-  s&minus;8
-  8&minus;s
-  s&minus;4
-  4&minus;s
+  4
 
{<!--c18ElectricChargeField_lineCharges_8-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal C=</math>:}
-  s&minus;8
+  8&minus;s
-  s&minus;4
-  4&minus;s
-  4
 
{<!--c18ElectricChargeField_lineCharges_9-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal C=</math>:}
+  5
-  s&minus;4
-  5&minus;s
-  1&minus;s
-  s&minus;1 
 
{<!--c18ElectricChargeField_lineCharges_10-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal C=</math>:}
-  5
-  s&minus;4
-  5&minus;s
+  1&minus;s
-  s&minus;1
 
{<!--c18ElectricChargeField_lineCharges_11-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal F=</math>:}
-  1/2
-  2/3
-  2
+  3/2
-  3
 
{<!--c18ElectricChargeField_lineCharges_12-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal C=</math>:}
-  s&minus;3
-  3&minus;s
-  8
-  s&minus;7
+  7&minus;s
 
{<!--c18ElectricChargeField_lineCharges_13-->A line of charge density &lambda; 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><math>Answer</math>  (assuming <math>\mathcal B > \mathcal A</math>) <math> 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\;}</math>, where <math>\mathcal D^2 + \mathcal E^2=</math>:}
-  7<sup>2</sup> + (8&minus;s)<sup>2</sup>
-  7<sup>2</sup> + 8<sup>2</sup>
+  (7-s)<sup>2</sup> + 8<sup>2</sup>
-  7<sup>2</sup> + (3&minus;s)<sup>2</sup>
-  3<sup>2</sup> + 8<sup>2</sup>
</quiz>
[[Category:Quizbank/bank/Calculus Physics]]