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Chapter 18: Q40PE (page 665)

Sketch the electric field lines in the vicinity of the charged insulator in Figure 18.51 noting its nonuniform charge distribution.

Figure 18.51

Short Answer

Expert verified

The electric field lines in the vicinity of the charged insulator is directed radially outwards. When the charge density is less, the electric field lines are straight, and when they charge density is more, the electric field lines are curved.

Step by step solution

01

Electric field lines

The electric field lines are the geometrical curves drawn in such a way that the tangent to the lines will give the direction electric field at that point. The electric field lines never intersect each other.

02

The electric field lines in the vicinity of the charged insulator

Since, the charges are not uniformly distributed, the electric field lines are not uniform. They are dense at the place where more positive charges are present. For a positive point charge, the electric field lines originate from the point charge.

The electric field lines for a nonuniformly charged insulator is represented as,

Electric field for a nonuniformed charged insulator

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Most popular questions from this chapter

A simple and common technique for accelerating electrons is shown in Figure 18.55, where there is a uniform electric field between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to continue moving. (a) Calculate the acceleration of the electron if the field strength is\(2.50 \times {10^4}{\rm{ N/C}}\). (b) Explain why the electron will not be pulled back to the positive plate once it moves through the hole.

Figure 18.55 Parallel conducting plates with opposite charges on them create a relatively uniform electric field used to accelerate electrons to the right. Those that go through the hole can be used to make a TV or computer screen glow or to produce X-rays.

Are you relatively safe from lightning inside an automobile? Give two reasons.

A test charge of \({\rm{ + 2 \mu C}}\) is placed halfway between a charge of \({\rm{ + 6 \mu C}}\) and another of \({\rm{ + 4 \mu C}}\) separated by \(10{\rm{ cm}}\). (a) What is the magnitude of the force on the test charge? (b) What is the direction of this force (away from or toward the \({\rm{ + 6 \mu C}}\)charge)?

(a) Find the total electric field at\(x = 1.00{\rm{ cm}}\)in Figure 18.52(b) given that\(q = {\rm{5}}{\rm{.00 nC}}\). (b) Find the total electric field at\(x = {\rm{11}}{\rm{.00 cm}}\)in Figure 18.52(b). (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge, etc., and what will its value(s) be?)

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

(a) Find the direction and magnitude of an electric field that exerts a\[{\rm{4}}{\rm{.80 \times 1}}{{\rm{0}}^{{\rm{ - 17}}}}{\rm{N}}\]westward force on an electron. (b) What magnitude and direction force does this field exert on a proton?
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