Chapter 31: Q. 19 (page 901)

A helium-neon laser emits a $1.0$ -mm-diameter laser beam with a power of $1.0 m W$ . What are the amplitudes of the electric and magnetic fields of the light wave?

Short Answer

Expert verified

The amplitudes of the light wave's electric and magnetic fields is,

$\begin{array}{l} E_{o} = 976 V / m, \\ B_{o} = 3.3 μ T . \end{array}$

Step by step solution

Step: 1 Finding the values of Iavg:

Finding the world first

$A = π \times r^{2} A = π {(10^{- 3})}^{2} A = π \times 10^{- 6} .$

Then finding the values

$\begin{array}{l} I_{a v g} = \frac{P}{A} \\ I_{a v g} = \frac{10^{- 3}}{π \times 10^{- 6}} \\ I_{a v g} = 1.27 \times 10^{3} . \end{array}$

Step: 2 Finding the vales of E0:

By using the formula,

$E_{o} = {(\frac{2 I_{a v g}}{c \cdot ε_{o}})}^{1 / 2} \begin{array}{l} E_{o} = {(\frac{2 I_{a v g}}{c \cdot ε_{o}})}^{1 / 2} \\ E_{o} = {(\frac{2 \times 1.27 \times 10^{3}}{3 \times 10^{8} \times 8.85 \times 10^{- 12}})}^{1 / 2} \\ E_{o} = 976 V / m . \end{array}$

Step: 3 Finding the values of B0:

By using,

$\begin{array}{l} B_{o} = \frac{E_{o}}{c} \\ B_{o} = \frac{976}{3 \times 10^{8}} \\ B_{o} = \frac{9.7 \times 10^{2}}{3 \times 10^{8}} \\ B_{o} = 3.3 μ T . \end{array}$

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A helium-neon laser emits a $1.0$ -mm-diameter laser beam with a power of $1.0 m W$ . What are the amplitudes of the electric and magnetic fields of the light wave?

Short Answer

Step by step solution

Step: 1 Finding the values of Iavg:

Step: 2 Finding the vales of E0:

Step: 3 Finding the values of B0:

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A helium-neon laser emits a 1.0-mm-diameter laser beam with a power of 1.0mW. What are the amplitudes of the electric and magnetic fields of the light wave?

Short Answer

Step by step solution

Step: 1 Finding the values of Iavg:

Step: 2 Finding the vales of E0:

Step: 3 Finding the values of B0:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Energy Physics

Geometrical and Physical Optics

Quantum Physics

Waves Physics

Turning Points in Physics

Electrostatics

Study anywhere. Anytime. Across all devices.

A helium-neon laser emits a $1.0$ -mm-diameter laser beam with a power of $1.0 m W$ . What are the amplitudes of the electric and magnetic fields of the light wave?