Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
(a) Calculate the frequency of the wave. MHZ (b) Calculate the magnetic field Bwhen the electric field has its maximum value in the negative y direction. magnitude direction -Select-- ]nT (c) Write an expression for Bwith the correct unit vector, with numerical values for Bmay k, and w, and with its magnitude in the form B = B cos (kx - wt).

(a) Calculate the frequency of the wave. MHZ (b) Calculate the magnetic field Bwhen the electric field has its maximum value in the negative y direction. magnitude direction -Select-- ]nT (c) Write an expression for Bwith the correct unit vector, with numerical values for Bmay k, and w, and with its magnitude in the form B = B cos (kx - wt).

Question
**Electromagnetic Waves: Understanding Wave Propagation** **Figure Description** The figure illustrates a plane electromagnetic sinusoidal wave propagating in the x-direction. Key features of the wave include: - **Wavelength**: 48.0 m - **Electric Field Amplitude**: 20.0 V/m, vibrating in the xy-plane The direction of wave propagation is along the x-axis, with the electric field (\(\vec{E}\)) and magnetic field (\(\vec{B}\)) oriented perpendicular to each other and the direction of wave propagation. **Problems and Calculation Steps** (a) **Calculate the Frequency of the Wave** - Given: Wavelength = 48.0 m (b) **Calculate the Magnetic Field \(\vec{B}\) when the Electric Field has its Maximum Value in the Negative y-direction** - **Magnitude**: \( \_\_\_\_ \) nT - **Direction**: Select from options (c) **Write an Expression for \(\vec{B}\) with the Correct Unit Vector** - Expression format: \[ B = B_{\text{max}} \cos(kx - \omega t) \] - Assume: - \(B\) is in nT - \(x\) is in meters - \(t\) is in nanoseconds (n.s.) **Expression for \(\vec{B}\)**: \[ \vec{B} = -\_\_\_\_ \cos\left(\_\_\_\_ \times 10^7\right) \hat{k} \text{ nT} \] **Instructions for Completing the Tasks:** - Fill in the blanks with appropriate values and units as per the given data. - Use the properties of electromagnetic waves to determine unknown values such as frequency, using known relationships like \( c = \lambda \times f \), where \( c \) is the speed of light.
Transcribed Image Text:**Electromagnetic Waves: Understanding Wave Propagation** **Figure Description** The figure illustrates a plane electromagnetic sinusoidal wave propagating in the x-direction. Key features of the wave include: - **Wavelength**: 48.0 m - **Electric Field Amplitude**: 20.0 V/m, vibrating in the xy-plane The direction of wave propagation is along the x-axis, with the electric field (\(\vec{E}\)) and magnetic field (\(\vec{B}\)) oriented perpendicular to each other and the direction of wave propagation. **Problems and Calculation Steps** (a) **Calculate the Frequency of the Wave** - Given: Wavelength = 48.0 m (b) **Calculate the Magnetic Field \(\vec{B}\) when the Electric Field has its Maximum Value in the Negative y-direction** - **Magnitude**: \( \_\_\_\_ \) nT - **Direction**: Select from options (c) **Write an Expression for \(\vec{B}\) with the Correct Unit Vector** - Expression format: \[ B = B_{\text{max}} \cos(kx - \omega t) \] - Assume: - \(B\) is in nT - \(x\) is in meters - \(t\) is in nanoseconds (n.s.) **Expression for \(\vec{B}\)**: \[ \vec{B} = -\_\_\_\_ \cos\left(\_\_\_\_ \times 10^7\right) \hat{k} \text{ nT} \] **Instructions for Completing the Tasks:** - Fill in the blanks with appropriate values and units as per the given data. - Use the properties of electromagnetic waves to determine unknown values such as frequency, using known relationships like \( c = \lambda \times f \), where \( c \) is the speed of light.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer