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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 , ∮E→,dA→=Qε0, where E is the electric field, A is the area, Q is the charge and ε0is a constant

Let apply Gauss's law,

Q20=∮E→·dA→=(-5-15-10+10+20+10)A=10A

So, the Charge Q=10Aε0>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

A neutral conductor contains a hollow cavity in which there is a+100nCpoint charge. A charged rod then transfers-50nC to the conductor. Afterward, what is the charge (a) on the inner wall of the cavity, and (b) on the exterior surface of the conductor?

What is the electric flux through the surface shown in FIGURE EX24.9?

A 2.0cm×3.0cmrectangle lies in the xz-plane. What is the magnitude of the electric flux through the rectangle if

a. E→=(100i^-200k^)N/C?

b. E→=(100i^-200j^)N/C?

The electric field strength just above one face of a copper penny is 2000N/C. What is the surface charge density on this face of the penny?

The cube in FIGURE EX24.7 contains negative charge. The electric field is constant over each face of the cube. Does the missing electric field vector on the front face point in or out? What strength must this field exceed?
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