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Chapter 24: Q. 5 (page 682)

The electric field is constant over each face of the cube shown in FIGURE EX24.5. Does the box contain positive charge, negative charge, or no charge? Explain.

Short Answer

Expert verified

The charge of the box is postive

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�,dA鈫�=Q蔚0, where E is the electric field, A is the area, Q is the charge and 蔚0is a constant

Let apply Gauss's law,

Q20=鈭�E鈫�路dA鈫�=(-5-15-10+10+20+10)A=10A

So, the Charge Q=10A蔚0>0

The box is charged positively.

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

FIGUREP24.38shows a solid metal sphere at the center of a hollow metal sphere. What is the total charge on (a) the exterior of the inner sphere, (b) the inside surface of the hollow sphere, and (c) the exterior surface of the hollow sphere?

The conducting box in FIGURE EX24.26 has been given an excess negative charge. The surface density of excess electrons at the center of the top surface is 5.0脳1010electrons/m2 . What are the electric field strengths E1to E3at points 1 to 3?

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.

Suppose you have the uniformly charged cube in FIGURE Q24.1. Can you use symmetry alone to deduce the shape of the cube鈥檚 electric field? If so, sketch and describe the field shape. If not, why not?
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