PHYS 1442. Fall 2017 No books or notes are allowed. All the formulas are given o
ID: 1775793 • Letter: P
Question
PHYS 1442. Fall 2017 No books or notes are allowed. All the formulas are given on the separate page. Write the solutions in your Ezarn Bluebook. Show all work, no credit will be given for just presenting answer without solution. Units must be displayed at all times. Specify the direction every time when you are asked to find a sector 1. (20 pts.). A negative 3.104 kg charge -3-10-C is originally located 1.5 m away from an infinite plane, which was charged with the surface charge density --3.10S as shown in the diagram. The charge point was initially at rest. What will be the distance between the point charge and the plane after t3 s of motion. 2. (10pts.) The electric potential at points (z y, z) is given by V(z, y, z) = 4y? sin z +6y3/2-5y4. Find the vector of the electric field. What is the magnitude the electric field at the point (1.1.1) 3. (20 pts.). Three point charges are placed along the z-azis: 9,--6 C, g-4 pC and g--9 pC at positions zi =-2.0 m, z2 = 3.0 m and zs-5.0 m. Find the potential (10 pts) and electric feld (10 pts) at to--6 m. Put the potential equal to zero at z oo. of the ring. Put the potential equal to zero at z 00. E = 100 aside a = 0.02 m as shown in the diagram. Find the force exerted on 4. (10 pts.) A ring is charged with constant linear charge density =-8-10-ng·Find the potential in the center 5. (10 pts.) A neutral metallic sphere with radius R 20 mm is exposed into external uniform electric field 6. (20 pts.) Four point charges g.-4-10-9 C, g2-4 nC, gs--4 nC and g".-4-10-9C frm a square with 7, (10 pts.) For the circuit shown in the diagram find the equivalent capacitance. Here G Find electric field inside the sphere at r = 1.5 mm apart from the center charge from the three other charges. Clearly specify its direction. 5 10-5 F, C 3.10-s F, G = 7 . 10-5 F, C.-3.10-s F, G-8-10-s F, C-9-10-s F 8. (10pts.). At what distance from a 9 C point charge its electric field is 90 what is the direction of the field? 1, 2 nC 2, 2 nC C, q1 C, C, 3-2 nC 4,-2 nCo FIG. I: (a) Problem 1. (b) Problem 6 (e) ProblenExplanation / Answer
5. field inside conductor is always zero.
metalic sphere is conducting sphere.
so E = 0
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