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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=3.33×10-6T

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

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=1.0×106Hz

E=1000V/m

c=3×108m/s

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

E=c·B

From the previous relation, we have to find Bmax:

E=c·Bmax (Divide both sides by C)

Bmax=Ec

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

Bmax=3.33×10-6T

03

Find Magnetic field strength and direction

Given values:

f=1.0×106Hz

E=500V/m

c=3×108m/s

The magnetic field's magnitude is given by,

E=c·B

B=Ec ( Divide both sides by C)

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

B=1.66×10-6T

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Most popular questions from this chapter

A 10cmdiameter parallel-plate capacitor has a 1.0mmspacing. The electric field between the plates is increasing at the rate1.0x106V/ms. What is the magnetic field strength (a) on the axis, (b) 3.0cmfrom the axis, and (c) 7.0cmfrom the axis

A wire with conductivity s carries current I. The current is increasing at the rate dI/dt.

a. Show that there is a displacement current in the wire equal to (∈o/σ)(dI/dt)

b. Evaluate the displacement current for a copper wire in which the current is increasing at 1.0×106A/s.

A wire with conductivity σcarries current I. The current is increasing at the rate dI/dt.

(a) Show that there is a displacement current in the wire equal to (ε/σ)(dI/dt).

(b) Evaluate the displacement current for a copper wire in which the current is increasing at role="math" localid="1649863246618" 1.0×106A/s.

When the Voyager 2spacecraft passed Neptune in 1989, it was 4.5×109kmfrom the earth. Its radio transmitter, with which it sent back data and images, broadcast with a mere 21Wof power. Assuming that the transmitter broadcast equally in all directions,

a. What signal intensity was received on the earth?

b. What electric field amplitude was detected?

The received signal was somewhat stronger than your result because the spacecraft used a directional antenna, but not by much.

A radio antenna broadcasts a1.0MHzradio wave with 25kWof power. Assume that the radiation is emitted uniformly in all directions.

a. What is the wave’s intensity 30 km from the antenna?

b. What is the electric field amplitude at this distance?
See all solutions

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