A standing electromagnetic wave in a certain material has frequency $2.20 \times 10^{10} \mathrm{Hz}$ . The nodal planes of $\overrightarrow{\boldsymbol{B}}$ are 3.55 $\mathrm{mm}$ apart. Find (a) the wavelength of the wave in this material; (b) the distance between adjacent nodal planes of the $\overrightarrow{\boldsymbol{E}}$ field: (c) the speed of propagation of the wave.
Added by Richard V.
Step 1
55 mm, we have: \[\lambda = \frac{2 \times 3.55 \, \text{mm}}{2} = 7.1 \, \text{mm}\] Show more…
Show all steps
Your feedback will help us improve your experience
Penny Riley and 91 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A standing electromagnetic wave in a certain material has frequency 2.20 $\times$ 10$^{10}$ Hz. The nodal planes of $\vec{B}$ are 4.65 mm apart. Find (a) the wavelength of the wave in this material; (b) the distance between adjacent nodal planes of the $\vec{E}$ field; (c) the speed of propagation of the wave.
Electromagnetic Waves
Standing Electromagnetic Waves
An electromagnetic standing wave in a certain material has frequency $1.20 \times 10 ^ { 10 } \mathrm { Hz }$ and speed of propagation $2.10 \times$ $10 ^ { 8 } \mathrm { m } / \mathrm { s } .$ (a) What is the distance between a nodal plane of $\vec { \boldsymbol { B } }$ and the closest antinodal plane of $\vec { \boldsymbol { B } } ?$ (b) What is the distance between an antinodal plane of $\vec { \boldsymbol { E } }$ and the closest antinodal plane of $\vec { \boldsymbol { B } }$ ? (c) What is the distance between a nodal plane of $\vec { \boldsymbol { E } }$ and the closest nodal plane of $\vec { \boldsymbol { B } }$ ?
An electromagnetic wave with frequency 5.70 $\times$ 10$^{14}$ Hz propagates with a speed of 2.17 $\times$ 10$^8$ m/s in a certain piece of glass. Find (a) the wavelength of the wave in the glass; (b) the wavelength of a wave of the same frequency propagating in air; (c) the index of refraction $n$ of the glass for an electromagnetic wave with this frequency; (d) the dielectric constant for glass at this frequency, assuming that the relative permeability is unity.
Sinusoidal Electromagnetic Waves
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD