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Chapter 23: Q. 3 (page 653)

What are the strength and direction of the electric field at the position indicated by the dot in FIGUREEX23.3?Specify the direction as an angle above or below horizontal.

Short Answer

Expert verified

The strength of the electric field is 7.63脳103V/m.

Step by step solution

01

Angle of electric field diagram

Figure is,

02

Calculation for magnitude of E1

The electric field's magnitude is,

E鈫�=E2肠辞蝉胃-E1肠辞蝉胃i-E2蝉颈苍胃+E1蝉颈苍胃j

E1:

E1=KQ1AB2

E1=9脳109N3.0脳10-9C(52cm)2

E1=5.4脳103V/m

03

Calculation for magnitude of E2

E2:

E2=KQ2BC2

E2=9脳109N3.0脳10-9C(52cm)2

E2=5.4脳103V/m

螖础叠颁,蝉颈苍胃=肠辞蝉胃=12

So,

localid="1649136637521" E鈫�=E2肠辞蝉胃-E1肠辞蝉胃i-E2蝉颈苍胃+E1蝉颈苍胃j

E鈫�=(0)i-2脳5.4脳103V/m脳12j

E鈫�=7.63脳103V/mj

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Most popular questions from this chapter

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 蚁, and charge q. A small sphere moving with speed v experiences a drag force Fdrag=6蟺畏rv, where 畏 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-渭m-diameter graphite particle? The viscosity of air at 20掳C is 1.8脳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 渭m-diameter graphite particle that has acquired 250 extra electrons?

The electric field strength 10.0cmfrom a very long charged wire is 2000N/C. What is the electric field strength 5.0cm from the wire?

What are the strength and direction of the electric field at the position indicated by the dot in FIGURE P23.35? Give your answer (a) in component form and (b) as a magnitude and angle measured cw or ccw (specify which) from the positive x-axis.

The ball in FIGURE Q23.10 is suspended from a large, uniformly charged positive plate. It swings with period T. If the ball is discharged, will the period increase, decrease, or stay the same? Explain.

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