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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 ∮E→·dA→=Qε0,

Here E is the electric field, A is the area, Q is the charge and ε0is a constant

Now apply Gauss's law, to get

Qε0=∮E→·dA→=(-15-20-15+20+15+10)A=-5A

So, let have chargeQ=5Aε0<0

⇒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 cylinder of FIGURE?

A positive point chargeq sits at the center of a hollow spherical shell. The shell, with radius R and negligible thickness, has net charge -2q. Find an expression for the electric field strength (a) inside the sphere, r<K, and (b) outside the sphere, r>K. In what direction does the electric field point in each case?

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.

Charges q1=-4Qandq2=+2Qare located atx=-aandx=+a, respectively. What is the net electric flux through a sphere of radius 2acentered

(a) at the origin and

(b) at x=2a?

What is the electric flux through the surface shown in FIGURE EX24.10?
See all solutions

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