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Chapter 23: Q44P (page 682)

Figure 23-52 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by Es=5.0脳10N/C. What is the charge on the sphere?

Short Answer

Expert verified

The charge on the sphere is 2.2脳10-6C.

Step by step solution

01

The given data

The scale of the vertical axis,ES=5.0脳107N/C

02

Understanding the concept of the electric field

Using the concept of the electric field, we can get the charge on the particle by substituting the given values in the given formula.

Formula:

The electric field at a point due to a charged particle, E=q4蟺蔚0r2 (1)

03

Calculation of the charge on the sphere

We determine the (total) charge on the ball by examining the maximum value (ES=5.0脳107N/C)shown in the graph (which occurs at localid="1661248841771" r=0.020m). Thus, from, we obtain the charge on the sphere as given:

q=(4蟺蔚0r2)脳E=(0.020m)2(5.0脳10N7/C)9脳109N路m2/C2=2.2脳10-6C

Hence, the value of the charge is 2.2脳10-6C.

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Most popular questions from this chapter

Figure 23-22 show, in cross-section, three solid cylinders, each of length L and uniform charge Q. Concentric with each cylinder is a cylindrical Gaussian surface, with all three surfaces having the same radius. Rank the Gaussian surfaces according to the electric field at any point on the surface, greatest first.

A charge of uniform linear density 2.0nC/m is distributed along a long, thin, non-conducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius=5.0 cm , outer radius=10 cm ). The net charge on the shell is zero. (a) What is the magnitude of the electric field from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?

A particle of charge q=1.0脳10-7Cis at the center of a spherical cavity of radius 3.0cmin a chunk of metal. Find the electric field

(a)1.5cmfrom the cavity center and

(b) anyplace in the metal.

Equation 23-11 (E=蟽/蔚0) gives the electric field at points near a charged conducting surface. Apply this equation to a conducting sphere of radius rand charge q, and show that the electric field outside the sphere is the same as the field of a charged particle located at the center of the sphere.

Figure 23-46a shows three plastic sheets that are large, parallel, and uniformly charged. Figure 23-46b gives the component of the net electric field along an x-axis through the sheets. The scale of the vertical axis is set byEs=6.0脳105N/C. What is the ratio of the charge density on sheet 3 to that on sheet 2?
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