Quizbank/Calculus Physics/T1study

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CalcPhysIIT1_Study

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CalcPhysIIT1_Study-v1s1

1. Integrate the line integral of, \vec F = 8.3xy\hat x + 8.6y^3\hat y , along the y axis from y = 4 to y = 16

___ a) 1.31E+05
___ b) 1.40E+05
___ c) 1.50E+05
___ d) 1.61E+05
___ e) 1.72E+05

2. Integrate the function, \vec F = r^9\theta^5\hat r + r^8\theta^ 7\hat \theta , along the first quadrant of a circle of radius 4

___ a) 1.14E+06
___ b) 1.21E+06
___ c) 1.30E+06
___ d) 1.39E+06
___ e) 1.49E+06

3. Integrate the line integral of \vec F = 3.3xy\hat x + 8.7x\hat y from the origin to the point at x = 2.1 and y = 3.2

___ a) 4.18E+01
___ b) 4.48E+01
___ c) 4.79E+01
___ d) 5.12E+01
___ e) 5.48E+01

4. Integrate the function, \vec F = -x^3y^4\hat x + x^4y^4\hat y, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

___ a) 3.43E-01
___ b) 3.67E-01
___ c) 3.93E-01
___ d) 4.21E-01
___ e) 4.50E-01

5. What is the magnitude of the electric field at the origin if a 3.1 nC charge is placed at x = 6.2 m, and a 2.6 nC charge is placed at y = 6 m?

___a) 5.47 x 10-1N/C
___b) 6.32 x 10-1N/C
___c) 7.3 x 10-1N/C
___d) 8.43 x 10-1N/C
___e) 9.73 x 10-1N/C

6. What angle does the electric field at the origin make with the x-axis if a 2 nC charge is placed at x = -8 m, and a 1.4 nC charge is placed at y = -9.3 m?

___a) 2.37 x 101degrees
___b) 2.74 x 101degrees
___c) 3.16 x 101degrees
___d) 3.65 x 101degrees
___e) 4.22 x 101degrees

7. A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 4a, 2a) is βkQ/a2, where β equals

___a) 7.31 x 10-3 unit
___b) 8.86 x 10-3 unit
___c) 1.07 x 10-2 unit
___d) 1.3 x 10-2 unit
___e) 1.57 x 10-2 unit

8. A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a2, where β equals

___a) 2.36 x 10-1 unit
___b) 2.86 x 10-1 unit
___c) 3.47 x 10-1 unit
___d) 4.2 x 10-1 unit
___e) 5.09 x 10-1 unit

9. A line of charge density λ 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=

___ a) −7
___ b) 3
___ c) −3
___ d) −3
___ e) 2

10. A line of charge density λ 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)?
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=:

___ a) s−4
___ b) 5−s
___ c) 1−s
___ d) s−1
___ e) 5

11. A line of charge density λ 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)?
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=:

___ a) 3/2
___ b) 1/2
___ c) 3
___ d) 2
___ e) 2/3

12. A line of charge density λ 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)?
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=:

___ a) s−7
___ b) 8
___ c) 3−s
___ d) 7−s
___ e) s−3

13. A line of charge density λ 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)?
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=:

___ a) 32 + 82
___ b) (7-s)2 + 82
___ c) 72 + (8−s)2
___ d) 72 + (3−s)2
___ e) 72 + 82

14. A line of charge density λ 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=

___ a) s−7
___ b) s−3
___ c) 3
___ d) 7−s
___ e) 3−s

15. A line of charge density λ 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=

___ a) 2
___ b) 1/2
___ c) 3/2
___ d) 3

16. A line of charge density λ 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)?
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=:

___ a) s − 9
___ b) 2
___ c) 9 − s
___ d) 2 − s
___ e) s − 2

17. A line of charge density λ 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)?
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=:

___ a) 92 + (2-s)2
___ b) 92 + (7-s)2
___ c) 72 + (2-s)2
___ d) 22 + (9-s)2
___ e) 22 + (7-s)2

18. A line of charge density λ 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)?
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=:

___ a) 1/2
___ b) 2
___ c) 8
___ d) 4

19. A line of charge density λ 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)?
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=:

___ a) 4
___ b) s−4
___ c) 8−s
___ d) 4−s
___ e) s−8

20. A line of charge density λ 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)?
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=:

___ a) s−4
___ b) 8−s
___ c) s−8
___ d) 4
___ e) 4−s

21. A line of charge density λ 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)?
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=:

___ a) s−4
___ b) s−1
___ c) 1−s
___ d) 5−s
___ e) 5

22. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z > H/2?

___ a)c) \varepsilon_0 E= H\rho z
___ b)d) none of these are correct
___ c)e) \varepsilon_0 E = H\rho /2
___ d) \varepsilon_0 E= \rho z
___ e)b) \varepsilon_0 E= H\rho

23. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

___ a)b) none of these are correct
___ b)e) \varepsilon_0 E= H\rho z
___ c)d) \varepsilon_0 E= H\rho
___ d)c) \varepsilon_0 E= \rho z
___ e) \varepsilon_0 E = H\rho /2

24. A sphere has a uniform charge density of \rho, and a radius or R. What formula describes the electric field at a distance r > R?

___ a) none of these are correct
___ b)d) r^2\varepsilon_0 E=r^3\rho /2
___ c)e) r^2\varepsilon_0 E=R^3\rho /3
___ d)c) r^2\varepsilon_0 E= r^3\rho/3
___ e)b) r^2\varepsilon_0 E=R^3\rho /2

25. A sphere has a uniform charge density of \rho, and a radius equal to R. What formula describes the electric field at a distance r < R?

___ a) r^2\varepsilon_0 E=r^3\rho /2
___ b)b) r^2\varepsilon_0 E=R^3\rho /3
___ c)d) r^2\varepsilon_0 E=r^3\rho /3
___ d)c) none of these are correct
___ e)e) r^2\varepsilon_0 E=R^3\rho /2

26. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

___ a)b) 2r\varepsilon_0 E = R^2\rho
___ b)d) none of these are correct
___ c) 2R\varepsilon_0 E= r^2\rho
___ d)c) 2\varepsilon_0 E = r\rho
___ e)e) 2r^2\varepsilon_0 E= R^3 \rho

27. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r > R?

___ a) 2R\varepsilon_0 E= r^2\rho
___ b)b) 2\varepsilon_0 E = r\rho
___ c)c) 2r\varepsilon_0 E = R^2\rho
___ d)e) 2r^2\varepsilon_0 E= R^3 \rho
___ e)d) none of these are correct


Key to CalcPhysIIT1_Study-v1s1

1. Integrate the line integral of, \vec F = 8.3xy\hat x + 8.6y^3\hat y , along the y axis from y = 4 to y = 16

- a) 1.31E+05
+ b) 1.40E+05
- c) 1.50E+05
- d) 1.61E+05
- e) 1.72E+05

2. Integrate the function, \vec F = r^9\theta^5\hat r + r^8\theta^ 7\hat \theta , along the first quadrant of a circle of radius 4

- a) 1.14E+06
+ b) 1.21E+06
- c) 1.30E+06
- d) 1.39E+06
- e) 1.49E+06

3. Integrate the line integral of \vec F = 3.3xy\hat x + 8.7x\hat y from the origin to the point at x = 2.1 and y = 3.2

- a) 4.18E+01
+ b) 4.48E+01
- c) 4.79E+01
- d) 5.12E+01
- e) 5.48E+01

4. Integrate the function, \vec F = -x^3y^4\hat x + x^4y^4\hat y, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- a) 3.43E-01
- b) 3.67E-01
- c) 3.93E-01
- d) 4.21E-01
+ e) 4.50E-01

5. What is the magnitude of the electric field at the origin if a 3.1 nC charge is placed at x = 6.2 m, and a 2.6 nC charge is placed at y = 6 m?

-a) 5.47 x 10-1N/C
-b) 6.32 x 10-1N/C
-c) 7.3 x 10-1N/C
-d) 8.43 x 10-1N/C
+e) 9.73 x 10-1N/C

6. What angle does the electric field at the origin make with the x-axis if a 2 nC charge is placed at x = -8 m, and a 1.4 nC charge is placed at y = -9.3 m?

-a) 2.37 x 101degrees
+b) 2.74 x 101degrees
-c) 3.16 x 101degrees
-d) 3.65 x 101degrees
-e) 4.22 x 101degrees

7. A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 4a, 2a) is βkQ/a2, where β equals

-a) 7.31 x 10-3 unit
-b) 8.86 x 10-3 unit
-c) 1.07 x 10-2 unit
-d) 1.3 x 10-2 unit
+e) 1.57 x 10-2 unit

8. A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a2, where β equals

-a) 2.36 x 10-1 unit
-b) 2.86 x 10-1 unit
+c) 3.47 x 10-1 unit
-d) 4.2 x 10-1 unit
-e) 5.09 x 10-1 unit

9. A line of charge density λ 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=

- a) −7
- b) 3
- c) −3
- d) −3
+ e) 2

10. A line of charge density λ 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)?
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=:

- a) s−4
- b) 5−s
+ c) 1−s
- d) s−1
- e) 5

11. A line of charge density λ 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)?
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=:

+ a) 3/2
- b) 1/2
- c) 3
- d) 2
- e) 2/3

12. A line of charge density λ 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)?
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=:

- a) s−7
- b) 8
- c) 3−s
+ d) 7−s
- e) s−3

13. A line of charge density λ 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)?
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=:

- a) 32 + 82
+ b) (7-s)2 + 82
- c) 72 + (8−s)2
- d) 72 + (3−s)2
- e) 72 + 82

14. A line of charge density λ 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=

- a) s−7
- b) s−3
- c) 3
+ d) 7−s
- e) 3−s

15. A line of charge density λ 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=

- a) 2
- b) 1/2
+ c) 3/2
- d) 3

16. A line of charge density λ 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)?
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=:

- a) s − 9
- b) 2
+ c) 9 − s
- d) 2 − s
- e) s − 2

17. A line of charge density λ 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)?
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=:

- a) 92 + (2-s)2
- b) 92 + (7-s)2
- c) 72 + (2-s)2
+ d) 22 + (9-s)2
- e) 22 + (7-s)2

18. A line of charge density λ 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)?
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=:

- a) 1/2
- b) 2
- c) 8
+ d) 4

19. A line of charge density λ 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)?
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=:

+ a) 4
- b) s−4
- c) 8−s
- d) 4−s
- e) s−8

20. A line of charge density λ 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)?
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=:

- a) s−4
+ b) 8−s
- c) s−8
- d) 4
- e) 4−s

21. A line of charge density λ 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)?
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=:

- a) s−4
- b) s−1
- c) 1−s
- d) 5−s
+ e) 5

22. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z > H/2?

- a)c) \varepsilon_0 E= H\rho z
- b)d) none of these are correct
+ c)e) \varepsilon_0 E = H\rho /2
- d) \varepsilon_0 E= \rho z
- e)b) \varepsilon_0 E= H\rho

23. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

- a)b) none of these are correct
- b)e) \varepsilon_0 E= H\rho z
- c)d) \varepsilon_0 E= H\rho
+ d)c) \varepsilon_0 E= \rho z
- e) \varepsilon_0 E = H\rho /2

24. A sphere has a uniform charge density of \rho, and a radius or R. What formula describes the electric field at a distance r > R?

- a) none of these are correct
- b)d) r^2\varepsilon_0 E=r^3\rho /2
+ c)e) r^2\varepsilon_0 E=R^3\rho /3
- d)c) r^2\varepsilon_0 E= r^3\rho/3
- e)b) r^2\varepsilon_0 E=R^3\rho /2

25. A sphere has a uniform charge density of \rho, and a radius equal to R. What formula describes the electric field at a distance r < R?

- a) r^2\varepsilon_0 E=r^3\rho /2
- b)b) r^2\varepsilon_0 E=R^3\rho /3
+ c)d) r^2\varepsilon_0 E=r^3\rho /3
- d)c) none of these are correct
- e)e) r^2\varepsilon_0 E=R^3\rho /2

26. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

- a)b) 2r\varepsilon_0 E = R^2\rho
- b)d) none of these are correct
- c) 2R\varepsilon_0 E= r^2\rho
+ d)c) 2\varepsilon_0 E = r\rho
- e)e) 2r^2\varepsilon_0 E= R^3 \rho

27. A cylinder of radius, R, and height H has a uniform charge density of \rho. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r > R?

- a) 2R\varepsilon_0 E= r^2\rho
- b)b) 2\varepsilon_0 E = r\rho
+ c)c) 2r\varepsilon_0 E = R^2\rho
- d)e) 2r^2\varepsilon_0 E= R^3 \rho
- e)d) none of these are correct


Attribution (for quiz questions) under CC-by-SA license
http://en.wikiversity.org/w/index.php?title=Quizbank/College_Physics/a07energy_lineIntegral&oldid=1381800
http://en.wikiversity.org/w/index.php?title=Physics_equations/18-Electric_charge_and_field/Q:findE&oldid=1378605
http://en.wikiversity.org/w/index.php?title=Physics_equations/18-Electric_charge_and_field/Q:lineChargesCALCULUS&oldid=1390982
http://en.wikiversity.org/w/index.php?title=Physics_equations/19-Electric_Potential_and_Electric_Field/Q:UsingGaussLaw&oldid=1391093
Study guide
http://en.wikiversity.org/wiki/Physics_equations/Sheet/All_chapters
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