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Chapter 23: Q. 3 (page 652)

Rank in order, from largest to smallest, the electric field strengthsE1 to E4 at points1to4 in FIGURE Q23.3. Explain.

Short Answer

Expert verified

The rank in order of the electric field strengths, from the largest to smallest isE4=E3>E2>E1.

Step by step solution

01

Given information

Given the electric field strengths

02

Explanation

The electric field strength is smaller in the locality where the field lines are farther together and stronger where the field lines are closer apart.

The locality where the field lines are farther together are 1,2

The locality where the field lines are closer together are 3,4.

Hence, the requisite answer for the electric field strengths, from largest to smallest isE4=E3>E2>E1.

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Most popular questions from this chapter

A positron is an elementary particle identical to an electron except that its charge is +e. An electron and a positron can rotate about their center of mass as if they were a dumbbell connected by a massless rod. What is the orbital frequency for an electron and a positron1.0nm apart?

Two 10 -cm-long thin glass rods uniformly charged to+10nCare placed side by side, 4.0cmapart. What are the electric field strengths E1to E3at distances 1.0cm,2.0cm, and 3.0cmto the right of the rod on the left along the line connecting the midpoints of the two rods??

Show that the on-axis electric field of a ring of charge has the expected behavior when z≪Rand whenz≫R.

Reproduce FIGURE Q23.2on your paper. For each part, draw a dot or dots on the figure to show any position or positions (other than infinity) where →E=→0.

The combustion of fossil fuels produces micron-sized particles of soot, one of the major components of air pollution. The terminal speeds of these particles are extremely small, so they remain suspended in air for very long periods of time. Furthermore, very small particles almost always acquire small amounts of charge from cosmic rays and various atmospheric effects, so their motion is influenced not only by gravity but also by the earth's weak electric field. Consider a small spherical particle of radius r, density ρ, and charge q. A small sphere moving with speed v experiences a drag force Fdrag=6πηrv, where η is the viscosity of the air. (This differs from the drag force you learned in Chapter 6 because there we considered macroscopic rather than microscopic objects.)

a. A particle falling at its terminal speed vtermis in equilibrium with no net force. Write Newton's first law for this particle falling in the presence of a downward electric field of strength E, then solve to find an expression for vterm.

b. Soot is primarily carbon, and carbon in the form of graphite has a density of 2200kg/m3. In the absence of an electric field, what is the terminal speed in mm/s of a 1.0-μm-diameter graphite particle? The viscosity of air at 20°C is 1.8×10-5kg/ms.

c. The earth's electric field is typically (150 N/C , downward). In this field, what is the terminal speed in mm/s of a 1.0 μm-diameter graphite particle that has acquired 250 extra electrons?
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