ASSIGNMENT #4

DUE ON OCTOBER 6, 2005

HAND-IN

CHAPTER #22:

QUESTIONS:

6   In Figure 22-25, two identical circular nonconducting rings are centered on the same line. For three situations, the uniform charges on rings A and B are, respectively, (1) q₀ and q₀, (2) –q₀ and –q₀, and (3) –q₀ and q₀. Rank the situations according to the magnitude of the net electric field at (a) point P₁ midway between the rings, (b) point P₂ at the center of ring B, and (c) point P₃ to the right of ring B, greatest first.

PROBLEMS:

••24 In Figure 22-41a, two curved plastic rods, one of charge +q and the other of charge –q, form a circle of radius R = 8.50 cm in an xy plane. The x axis passes through both of the connecting points, and the charge is distributed uniformly on both rods. If q = 15.0 pC, what are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field produced at P, the center of the circle?

•••29 In Figure 22-45, positive charge q = 7.81 pC is spread uniformly along a thin nonconducting rod of length L = 14.5 cm. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field produced at point P, at distance R = 6.00 cm from the rod along its perpendicular bisector?

55   In Figure 22-53, a “semi-infinite” nonconducting rod (that is, infinite in one direction only) has uniform linear charge density l. Show that the electric field at point P makes an angle of 45° with the rod and that this result is independent of the distance R. (Hint: Separately find the component of parallel to the rod and the component perpendicular to the rod.)

59   A particle of charge Q lies at the origin of an xy coordinate system. A particle of charge q lies at coordinates (4.0a, 0). We are concerned about the electric field these particles produce at point P at coordinates (4.0a, 3.0a). What is Q/q if, at P, (a) the x and y components of the electric field are equal and (b) the electric field has no y component?

ONLINE

CHAPTER #22:

QUESTIONS:

PROBLEMS:

•22   Figure 22-40 shows two parallel nonconducting rings with their central axes along a common line. Ring 1 has uniform charge q₁ and radius R; ring 2 has uniform charge q₂ and the same radius R. The rings are separated by distance d = 3.00R. The net electric field at point P on the common line, at distance R from ring 1, is zero. What is the ratio q₁/q₂?

••45   Two large parallel copper plates are 5.0 cm apart and have a uniform electric field between them as depicted in Figure 22-48. An electron is released from the negative plate at the same time that a proton is released from the positive plate. Neglect the force of the particles on each other and find their distance from the positive plate when they pass each other. (Does it surprise you that you need not know the electric field to solve this problem?)

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