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Chapter 15: Q2Q (page 616)
A rod is long. Its charge is . The observation location is from the rod, in the mid plane. In the expression
what is in meters?
The value ofis
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Suppose that the radius of a disk is 21 cm, and the total charge distributed uniformly all over the disk is . (a) Use the exact result to calculate the electric field 1 mm from the center of the disk. (b) Use the exact result to calculate the electric field 3 mm from the center of the disk. (c) Does the field decrease significantly?
Consider the algebraic expression for the electric field of a uniformly charged ring, at a location on the axis of the ring. Q is the charge on the entire ring, and is the charge on one piece of the ring. is the angle subtended by one piece of the ring (or, alternatively, is the arc length of one piece). What is, expressed in terms of given constants and an integration variable? What are the integration limits?
Explain briefly how knowing the electric field of a ring helps in calculating the field of a disk.
You stand at location A, a distance d from the origin, and hold a small charged ball. You find that the electric force on the ball is 0.08 N. You move to location B, a distance 2d from the origin, and find the electric force on the ball to be 0.04 N. What object located at the origin might be the source of the field? (1) A point charge, (2) A dipole, (3) A uniformly charged rod, (4) A uniformly charged ring, (5) A uniformly charged disk, (6) A capacitor, (7) A uniformly charged hollow sphere, (8) None of the above If the force at B were 0.0799 N, what would be your answer? If the force at B were 0.01 N, what would be your answer? If the force at B were 0.02 N, what would be your answer?
If the magnitude of the electric field in air exceeds roughly 3 脳 106 N/C, the air brake down and a spark form. For a two-disk capacitor of radius 47 cm with a gap of 1 mm, what is the maximum charge (plus and minus) that can be placed on the disks without a spark forming (which would permit charge to flow from one disk to the other)?
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