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PHYS 242 Drill Set A charge (12 nC) is located 0.06 m west of the origin. A second charge (-12 nC) is located 0.04 m east of the origin. 1. Find the potential (voltage) at the origin (O), due to the field of the 2 charges (Hint: potential at distance r from a charge q is k Ans: (i) Find the potential at a point A which is 0.04 m west of the origin Ans: (iii) What is the potential difference (Vao) between point A and O (with O as reference) Ans: The kinetic energy of a +1C charge moving from A to O is 500 (J) at A. What is its kinetic energy at the origin (O)? (iv) Ans:
2. A thin spherical shell, radius R, is made of insulating material (not a conductor). 6 nC of charge is distributed uniformly in the insulating spherical shell. There is no charge within the shell, so convince yourself using Gausss law that E-inside the sbell We found in class that outside a uniformly distributed spherical charge (of total charge q), the potential (voltage) is: v = ror r R). This is the work done (-/E.dh by an stemalforce moving + 1 С test charge from co tor. Hence at radius R, the potential (voltage) is: V- k To find the work done by an extemal force to move the +1C test charge from oo to a point at radius r within the shell (ie. r< R), we need to add to k the extra work done to move the +1C test charge from radius R to radius r Extra work の Two Equipotential surfaces are shown in the diagram below. The electric field magnitude in 3 different neighborhoods are indicated as Ea, Es, and Ec. Indicate which of these magnitudes is largest, and which is smallest. 3. EA 테 Ans: Largest field: Smallest field: 4. In a certain region of space, the electric potential is given as V(x.y,z) Axy -Bx2 + Cy, where A, B, and C are positive constants. Find the x,y, and z-components of the electric field. Ex = E,
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Answer #1

3. WHERE THE EQUIPOTENTIAL SURFACES ARE CROWDED THE ELECTRIC FIELD IS MORE
YOU CAN NOW FIND THE SMALLEST AND LARGEST ONE
ALSO THE THREE OTHER ONE SEE THE PIC
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