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Chapter 31: Q. 13 (page 901)

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

Short Answer

Expert verified

The electric field amplitude of an electromagnetic wave is6脳105V/m.

Step by step solution

01

Formula for electric field amplitude

As it stands,

B=2.0mT

c=3脳108m/s

Electric field amplitude is,

E=B路c

Bis magnetic field amplitude.

localid="1648800544485" cis in a vacuum, the speed of light .

02

Calculation for Electric field amplitude

Electric field amplitude,

E=B路c

Substitute all values,

E=2.0脳10-3T脳3脳108m/s

E=6脳105V/m

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Most popular questions from this chapter

FIGUREP31.38shows the voltage across a 0.10mFcapacitor. Draw a graph showing the displacement current through the capacitor as a function of time.

a. Show that uEand uB, the energy densities of the electric and magnetic fields, are equal to each other in an electromagnetic wave. In other words, show that the wave鈥檚 energy is divided equally between the electric field and the magnetic field.

b. What is the total energy density in an electromagnetic wave of intensity 1000W/m2?

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?

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?

Laboratory scientists have created the electric and magnetic fields shown in FIGURE EX31.3. These fields are also seen by scientists who zoom past in a rocket traveling in the x-direction at 1.0x106m/s . According to the rocket scientists, what angle does the electric field make with the axis of the rocket?
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