# Physics equations/Previous exams/Second semester calc F2013

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## Final exam from Fall 2013[edit]

All exams and test will be considered open source after the course ends

Final Exam Fall 2011 Name:

- Do these problems on separate paper. Staple or fold pages in proper order, labeled by problem number.
- Neatly cross out work that you do not wish to be graded (penalties will be result from incorrect statements and equations).
- For a partial credit (at least half) write down the equation and box it before plugging in numbers.
- The value of each question ranges from 5 to 10 points (depending on complexity.)

- Two point charges are on the x axis (y=0): 2nC are at x=1.5 and 3nC are at x=2.5. Find the electric potential (V) on the y axis at y = 4.0.
- Repeat the previous problem with the same two charges, but now find the electric potential (V) on the x axis at an arbitrary point, x.
- Again, with the same two charges, find the electric field (E) at an arbitrary point on the x-axis.
- A block of carbon is 400m long and has an cross section area of 0.1 m
^{2}. What is the resistivity if the resistance, R, is 0.03 Ohms? - What is the resistance of a 3 Ohm resistor connected in parallel with a 2 Ohm resistor?
- Repeat the previous problem, except with the two resistors connected in series.
- A thin ring of radius
*a*is uniformly charged with a total charge of Q. Find the electric potential (V) on axis, at a distance z from the center.. - In the figure labeled '
**Gauss law pillbox'**, E_{2}= 3.5N/C and 3.0E_{1}= 3N/C. The height Δy is 0.25m, and the radius is 0.5m. How much charge is enclosed? - A thin shell of spherical charge has a surface density of σ (Coulombs per square meter). The radius is
. Find the electric field for a distance**a**from the center, where**r**.**r > a** - Answer the previous question, except now the distance from the origin,
, is less than**r**.**a** - An infinitely long cylinder of radius
has a volume charge density of ρ (C/m**a**^{3}). Using Gauss' law, and showing your steps, find the charge density for**r > a** - Repeat the previous problem for
**r < a** - The electric field is
. What is the potential difference between the origin and the point on the x axis at x=7?**E**= 4**i**+ 3**j** - Repeat the previous question for the potential difference between the origin and the point (x,y)=(7,5).