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Chapter 31: Q. 3 (page 900)

3. If you curl the fingers of your right hand as shown, are the electric fluxes in FIGURE Q31.3 positive or negative?

Short Answer

Expert verified

Part (a) The flux is negative.

Part (b) The flux is positive.

Step by step solution

01

Step 1. Introduction

Curl the right hand fingers around the loop with the thumb perpendicular to the surface of the loop. The thumb defines the positive direction.

If the electric field is directed along the direction of thumb then the flux through the surface is positive. If the electric field is directed opposite to the direction of thumb then the flux is negative.

02

Part (a)

In figure (a),

Curl the right hand fingers around the loop the thumb is directed out of the page, and electric field is directed into the page. So, the flux is negative.

03

Part (b)

In figure (b),

Curl the right hand fingers around the loop the thumb direction is left side, and electric field directed towards the left. So, the flux is positive.

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Most popular questions from this chapter

A rocket zooms past the earth at v=2.0×106m/s.a. Scientists on the rocket have created the electric and magnetic fields shown in FIGUREEX31.5.What are the fields measured by an earthbound scientist?

A radio receiver can detect signals with electric field amplitudes as small as 300μV/m. What is the intensity of the smallest detectable signal?

What electric field strength and direction will allow the proton in FIGURE P31.30 to pass through this region of space without being deflected?

Do the situations in FIGURE represent possible electromagnetic waves? If not, why not?

In FIGURE P31.33, a circular loop of radius rtravels with speed valong a charged wire having linear charge density I. The wire is at rest in the laboratory frame, and it passes through the center of the loop.

a. What are E→and B→at a point on the loop as measured by a scientist in the laboratory? Include both strength and direction.

b. What are the fields E→and B→at a point on the loop as measured by a scientist in the frame of the loop?

c. Show that an experimenter in the loop’s frame sees a currentI=λνpassing through the center of the loop.

d. What electric and magnetic fields would an experimenter in the loop’s frame calculate at distance r from the current of part c?

e. Show that your fields of parts b and d are the same.
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