Chapter 23: Q21 P (page 988)

A pulse of radiation propagates with velocity $< 0, 0, - c >$ . The electric field in the pulse is $< 7.2 \times 10^{6}, 0, 0 > N / C$ . What is the magnetic field in the pulse?

Short Answer

Expert verified

The magnetic field in the pulse is $< 0, - 0.024, 0 > T$ .

Step by step solution

Given data

Velocity of the pulse:

$\vec{v} = <0, 0, - c>$

Electric field of the pulse:

$\vec{E} = <7.2 \times 10^{6}, 0, 0> N / C$

Magnetic field in a pulse

Magnitude of magnetic field in a pulse with magnitude of electric field is:

$B = \frac{E}{c}$ …… (i)

Here, is the speed of light in vacuum with value $c = 3 \times 10^{8} m / s$ $c = 3 \times 10^{8} m / s$ .

The direction of the magnetic field is such that the direction of the wave is given by the direction as follows:

$\vec{E} \times \vec{B}$

Determine the magnetic field in the given pulse

From equation (i), the magnitude of the electric field is:

$B = \frac{7.2 \times 10^{6} N / C}{3 \times 10^{8} m / s} = 0.024 \cdot (1 N . s / C . m \times \frac{1 T}{1 N . s / C . m}) = 0.024 T$

The direction of the wave is along $- z$ axis and the direction of the electric field is along x axis. Hence the direction of the magnetic field has to be along $- y$ axis.

Thus, the magnetic field is $<0, - 0.024, 0> T$ .

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A pulse of radiation propagates with velocity $< 0, 0, - c >$ . The electric field in the pulse is $< 7.2 \times 10^{6}, 0, 0 > N / C$ . What is the magnetic field in the pulse?

Short Answer

Step by step solution

Given data

Magnetic field in a pulse

Determine the magnetic field in the given pulse

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A pulse of radiation propagates with velocity <0,0,-c>. The electric field in the pulse is <7.2×106,0,0>N/C. What is the magnetic field in the pulse?

Short Answer

Step by step solution

Given data

Magnetic field in a pulse

Determine the magnetic field in the given pulse

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Mechanics and Materials

Magnetism

Conservation of Energy and Momentum

Atoms and Radioactivity

Electricity and Magnetism

Physics of Motion

Study anywhere. Anytime. Across all devices.

A pulse of radiation propagates with velocity $< 0, 0, - c >$ . The electric field in the pulse is $< 7.2 \times 10^{6}, 0, 0 > N / C$ . What is the magnetic field in the pulse?