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Chapter 31: Q. 25 (page 902)

FIGURE shows a vertically polarized radio wave of frequency 1.0*106Hztraveling into the page. The maximum electric field strength is 1000V/m. What are

a. The maximum magnetic field strength?

b. The magnetic field strength and direction at a point where Eu=1500V/m, down?

Short Answer

Expert verified

a) Maximum magnetic field,Bmax=3.33脳10-6T

b) Magnetic field strength and direction,B=1.66脳10-6T

Step by step solution

01

Magnetic field

A region around a magnet or materials that function like magnets in which a force attracts some metals towards it

02

Find Maximum magnetic field

Given Values

f=1.0脳106Hz

E=1000V/m

c=3脳108m/s

The relation between magnetic and electric field in an electromagnetic field is given by:

E=c路B

From the previous relation, we have to find Bmax:

E=c路Bmax (Divide both sides by C)

Bmax=Ec

Bmax=1000V/m3脳108m/s (Substitute the values in equation)

Bmax=3.33脳10-6T

03

Find Magnetic field strength and direction

Given values:

f=1.0脳106Hz

E=500V/m

c=3脳108m/s

The magnetic field's magnitude is given by,

E=c路B

B=Ec ( Divide both sides by C)

B=500V/m3脳108m/s (Substitute values in equation)

B=1.66脳10-6T

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Most popular questions from this chapter

The intensity of an electromagnetic wave is 10W/m2. What will the intensity be if:

a. The amplitude of the electric field is doubled?

b. The amplitude of the magnetic field is doubled?

c. The amplitudes of both the electric and the magnetic fields are doubled?

d. The frequency is doubled?

In what directions are the electromagnetic waves traveling in FIGURE

What is the electric field amplitude of an electromagnetic wave whose magnetic field amplitude is 2.0mT ?

Scientists in the laboratory create a uniform electric field E鈫�=1.0脳106k^V/m in a region of space whereB鈫�=0鈫�. What are the fields in the reference frame of a rocket travelling in the positive x-direction at 1.0脳106m/s?

A rocket zooms past the earth at v=2.0脳106m/s. Scientists on the rocket have created the electric and mag-netic fields shown in FIGURE EX31.5. What are the fields measured by an earthbound scientist?
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