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University Physics Semester 2 ALL/ALL ID153489996985

Exams:

6 Tests = 3 versions x 2 variations: Each of the 2 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

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### ALL A0

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=4\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=1e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=4e}$?
a) 9.750E-15 N
b) 1.072E-14 N
c) 1.180E-14 N
d) 1.298E-14 N
e) 1.427E-14 N
2)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=2\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=1e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=4e}$?
a) 4.091E+01 degrees
b) 4.500E+01 degrees
c) 4.950E+01 degrees
d) 5.445E+01 degrees
e) 5.990E+01 degrees
3)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate ${\displaystyle f(x,y)}$ at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
a) 6.897E+00 V/m2
b) 7.587E+00 V/m2
c) 8.345E+00 V/m2
d) 9.180E+00 V/m2
e) 1.010E+01 V/m2
4)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2

5)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=8.3{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =5{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=5.3{\text{ m}}}$.

a) 1.022E+00 V/m2
b) 1.125E+00 V/m2
c) 1.237E+00 V/m2
d) 1.361E+00 V/m2
e) 1.497E+00 V/m2

6) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C

7) What is the magnitude of the electric field at the origin if a 2.7 nC charge is placed at x = 9.1 m, and a 2.5 nC charge is placed at y = 5.9 m?

a) 3.99 x 10-1N/C
b) 4.6 x 10-1N/C
c) 5.32 x 10-1N/C
d) 6.14 x 10-1N/C
e) 7.09 x 10-1N/C