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Chapter 23: Q19 P (page 988)

In Figure 23.116 electromagnetic radiation is moving to the right, and at this time and place the electric field is horizontal and points out of the page. The magnitude of the electric field is E=3000 N/C. What are the magnitude and direction of the associated magnetic field at this time and place?

Short Answer

Expert verified

The magnitude and direction of the associated magnetic field at this time and place are1×10-5 T and negative y direction

Step by step solution

01

Identification of given data

Magnitude of electric fieldE=3000 N/C

02

Concept of Ampere’s law

It states that the pulse of the electric field and magnetic field is travelling through space with speed of light. It is given as

E=cB …(i)

Where,E is the electric field,B is the magnetic field andc is the speed of light

03

Determining the magnitude and direction of the associated magnetic field at this time and place

By rearranging equation (i)

B=Ec

Substitute all the values in above equation

B=3000 N/C3×108m/s=1×10-5 T

Direction of propagation of electromagnetic wave is given by,

E→×B→

By using the right hand rule direction or magnetic field is in the negative y direction

Hence the magnitude and direction of the associated magnetic field at this time and place are1×10-5 T and negative y direction

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Most popular questions from this chapter

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A slab (pulse) of electromagnetic radiation that is 15cm thick is propagating downward (in the direction) toward a short horizontal copper wire located at the origin and oriented parallel to the z axis, as shown in Figure 23.123. (a) The direction of the electric field inside the slab is out of the page (in the+z direction). On a diagram, show and describe clearly the direction of the magnetic field inside the slab.

(b) You stand on the x axis at location<12,0,0>m, at right angles to the direction of propagation of the pulse. Your friend stands on the z axis at location<0,0,12>m. The pulse passes the copper wire at time t1=0, and at a later time t2 you observe new nonzero electric and magnetic fields at your location, but your friend does not. Explain. What is t2? (Give a numerical answer.) How long a time do these new fields last for you? (c) On a diagram, show and describe clearly the directions of these new nonzero fields (E→ and B→) at your location. Explain briefly but carefully.
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