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Chapter 24: Q. 4 (page 682)

The electric field is constant over each face of the cube shown in FIGURE EX24.4. Does the box contain positive charge, negative charge, or no charge? Explain.

Short Answer

Expert verified

The box has a negative charge.

Step by step solution

01

Step 1. Given Information

Over each face of the cube illustrated, the electric field is constant.

02

Step 2. Is there a positive charge, a negative charge, or no charge in the box?

According to Gauss's law 鈭�E鈫�路dA鈫�=Q蔚0,

Here E is the electric field, A is the area, Q is the charge and 蔚0is a constant

Now apply Gauss's law, to get

Q蔚0=鈭�E鈫�路dA鈫�=(-15-20-15+20+15+10)A=-5A

So, let have chargeQ=5A蔚0<0

鈬�The box has negative charge

Gauss's law for electric flux is used to determine the charge of the box.

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Most popular questions from this chapter

What is the net electric flux through the two cylinders shown inFIGURE EX24.16? Give your answer in terms of RandE

The net electric flux through an octahedron is 鈭�1000Nmm2/C. How much charge is enclosed within the octahedron?

What is the electric flux through each of the surfaces in FIGURE Q24.5? Give each answer as a multiple of q蔚0.

The square and circle in FIGURE Q24.3 are in the same uniform field. The diameter of the circle equals the edge length of the square. Is 桅squarelarger than, smaller than, or equal to 桅circle? Explain.

The earth has a vertical electric field at the surface, pointing down, that averages100N/C. This field is maintained by various atmospheric processes, including lightning. What is the excess charge on the surface of the earth?
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