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Chapter 23: Q58P (page 683)

A uniform surface charge of density 8.0nC/m2is distributed over the entire x-yplane. What is the electric flux through a spherical Gaussian surface centered on the origin and having a radius of5.0cm ?

Short Answer

Expert verified

The electric flux through a spherical Gaussian surface centered on the origin and having a radius of 5.0 cm is 7.1Nm2/C.

Step by step solution

01

Listing the given quantities

surface charge of density8.0nc/m2

the radius of the Gaussian surface is 5.0 cm

02

Understanding the concept of Gauss Law

Using the statement of Gauss law determine the electric flux through the spherical gauss an surface centered on the origin and having a radius of 5.0 cm

Gauss Law

Formula:

蠒=qenc蔚0

03

Explanation

From Gauss鈥檚 law, we have

蠒=qenc蔚0=蟽蟺谤2蔚0=8.0脳10-9C/m3蟺(0.050m)2(8.85脳10-12C2/N.m2)=7.1Nm2/C

Electric flux through a spherical Gaussian surface centered on the origin and having a radius of 5.0 cm is 7.1N.m2/C

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Most popular questions from this chapter

A proton at speed v = 3脳105m/sorbits at radius r = 1.00 cmoutside a charged sphere. Find the sphere鈥檚 charge.

Figure 23-55 shows two non-conducting spherical shells fixed in place on an x-axis. Shell 1 has uniform surface charge density +4.0渭颁/m2on its outer surface and radius 0.50cm, and shell 2 has uniform surface charge density on its outer surface and radius 2.0cm ; the centers are separated by L=6.0cm . Other than at x=鈭�, where on the x-axis is the net electric field equal to zero?

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