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Chapter 18: Q19CQ (page 662)

The discussion of the electric field between two parallel conducting plates, in this module states that edge effects are less important if the plates are close together. What does close mean? That is, is the actual plate separation crucial, or is the ratio of plate separation to plate area crucial?

Short Answer

Expert verified

The crucial factor in reducing the edge effect is the ratio between the plate separation to the plate area.

Step by step solution

01

Edge effect

When equal and opposite charges are distributed on the surfaces of two parallel conducting plates, they distribute themselves uniformly over the surface, except the edges. The electric field in the region between the plates is uniform, but at the edges, the field lines bend to produce a non-uniform field. This phenomena was termed as Edge Effect.

02

Crucial factor

If the area of the plates is large when compared to the separation between the plates, the edge of the electric field lines becomes insignificant, since the charge distribution tends to be fairly uniform. And if the plates are close together, the curvature of the lines at the edges reduces, hence the edge effect becomes insignificant.

However, if the area of the plates is very less, the charge tends to concentrate near the edges of the conductors, producing a nonuniform field at the edges. This would happen even if the separation between the plates remains the same.

Therefore, to reduce the edge effects, the area of the plates must be very large as compared to the separation between the plates.

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Most popular questions from this chapter

(a) Calculate the electric field strength near a 10.0 cm diameter conducting sphere that has 1.00 C of excess charge on it. (b) What is unreasonable about this result? (c) Which assumptions are responsible?

(a) Find the electric field at\(x = 5.00{\rm{ cm}}\)in Figure 18.52 (a), given that\(q = 1.00{\rm{ }}\mu C\). (b) At what position between\(3.00\)and\(8.00{\rm{ cm}}\)is the total electric field the same as that for\( - 2q\)alone? (c) Can the electric field be zero anywhere between\(0.00\)and\(8.00{\rm{ cm}}\)? (d) At very large positive or negative values of\(x\), the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the right of\(11.0{\rm{ cm}}\)is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)

Figure 18.52 (a) Point charges located at\[{\bf{3}}.{\bf{00}},{\rm{ }}{\bf{8}}.{\bf{00}},{\rm{ }}{\bf{and}}{\rm{ }}{\bf{11}}.{\bf{0}}{\rm{ }}{\bf{cm}}\]along the x-axis. (b) Point charges located at\[{\bf{1}}.{\bf{00}},{\rm{ }}{\bf{5}}.{\bf{00}},{\rm{ }}{\bf{8}}.{\bf{00}},{\rm{ }}{\bf{and}}{\rm{ }}{\bf{14}}.{\bf{0}}{\rm{ }}{\bf{cm}}\]along the x-axis

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