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Homework 5
Assigned: 9/25/17 Week 6
Due : Week 6 in recitation
1. Using Gauss' law obtain the expression for an infinite line of charge.
2. Calculate the potential at the point x=-a, due to a line of charge with total charge Q and with endpoint at (0,0) and (L,0).
3. Calculate the electric potential at (1,1) if there are charges 1.2, -2.3, 1.0 micro coulombs at (1,0), (0,0), and (0,1). Distances are in meters. Calculate the electric potential energy of the configuration in the problem.
4. Calculate the potential at the point x=-a, due to a line of charge with total charge Q and with endpoint at (0,0) and (L,0).
5. Calculate the electric field due to a potential, V = 3xy-5x^2-2z^3xy.
6. For a 2 microcoulomb charge at the origin and a 3 microcoulomb charge at x=17 cm, where on the x axis between them is the electric potential the smallest?
7. For the system of capacitors shown here, find the equivalent capacitance of the system, the charge on each capacitor and the potential across each capacitor.
8. Find the equivalent capacitance for the capacitors shown here. What is the charge stored in the capacitor indicated?
9. A battery (15V) has charged a capacitor up to 120 micro coulombs. What is the energy stored in the capacitor?
10. For an air capacitor with plate area 2.5cm2, what would be the biggest charge on the plates if instead of air, the capacitor is filled with Teflon?
11. A parallel-plate capacitor with dielectric is shown here. What is the capacitance?