Chapter 33: Q103P (page 1009)

The rms value of the electric field in a certain light waveis $0.200 V / m$ .What is the amplitude of the associated magnetic field?

Short Answer

Expert verified

The amplitude of the associated magnetic field is $B_{a m p} = 9.43 \times 10^{- 10} T$

Step by step solution

Listing the given quantities

$E_{r m s} = 0.200 V / m$

Understanding the concepts of magnetic field

By using the relation between the magnitude of the electric field andthe magnitude of the magnetic field, given by equation $33 - 5$ ,we can find the magnetic field.

Formula:

$\frac{E}{B} = C$

$B_{r m s} = \frac{B_{a m p}}{\sqrt{2}}$

Calculations of theamplitude of the associated magnetic field

By using the equation, $33 - 5$ we have,

$\frac{E}{B} = C$

where C is the velocity of the electromagnetic wave, which is $3 \times 10^{8} m / s$ .

Rearranging the equation, we can find the rms magnetic field,

$\begin{matrix} B_{r m s} = \frac{E_{r m s}}{C} \\ = \frac{0.200}{3 \times 10^{8}} \\ = 6.67 \times 10^{- 10} T \end{matrix}$

This is the value of the magnetic field. To find the amplitude of the magnetic field, we can multiply this value by $\sqrt{2}$ .

$\begin{matrix} B_{r m s} = \frac{B_{a m p}}{\sqrt{2}} \\ B_{a m p} = B_{r m s} \sqrt{2} \\ = 6.67 \times 10^{- 10} \times \sqrt{2} \\ = 9.43 \times 10^{- 10} T \end{matrix}$

Hence, the amplitude of the associated magnetic field is $B_{a m p} = 9.43 \times 10^{- 10} T$

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The rms value of the electric field in a certain light waveis $0.200 V / m$ .What is the amplitude of the associated magnetic field?

Short Answer

Step by step solution

Listing the given quantities

Understanding the concepts of magnetic field

Calculations of theamplitude of the associated magnetic field

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Most popular questions from this chapter

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The rms value of the electric field in a certain light waveis0.200 V/m.What is the amplitude of the associated magnetic field?

Short Answer

Step by step solution

Listing the given quantities

Understanding the concepts of magnetic field

Calculations of theamplitude of the associated magnetic field

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Nuclear Physics

Fluids

Medical Physics

Radiation

Rotational Dynamics

Classical Mechanics

Study anywhere. Anytime. Across all devices.

The rms value of the electric field in a certain light waveis $0.200 V / m$ .What is the amplitude of the associated magnetic field?