The GPS network consists of 24 satellites, each of which makes two orbits around the earth per day. Each satellite transmits a 50.0-W (or even less) sinusoidal electromagnetic signal at two frequencies, one of which is 1575.42 MHz. Assume that a satellite transmits half of its power at each frequency and that the waves travel uniformly in a downward hemisphere. Submit Previous Answers ✓ Correct Correct answer is shown. Your answer 9.73-10-15 =9.73x10-15 W/m² was either rounded differently or number of significant figures than required for this part. Part B

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### GPS Satellite Network Analysis

**Background Information:**
The GPS network consists of 24 satellites, each of which makes two orbits around the Earth per day. Each satellite transmits a 50.0 W (or even less) sinusoidal electromagnetic signal at two frequencies, one of which is 1575.42 MHz. Assume that a satellite transmits half of its power at each frequency and that the waves travel uniformly in a downward hemisphere.

**Part A: Intensity Calculation**
The satellite signal intensity at the receiver is given as:
\[ I = 9.75 \times 10^{-15} \, \text{W/m}^2 \]

*Feedback:*
- **Correct!**
  - The correct answer shown is:
  \[ I = 9.73 \times 10^{-15} \, \text{W/m}^2 \]
  - The given value of \( 9.73 \times 10^{-15} = 9.73 \times 10^{-15} \, \text{W/m}^2 \) was either rounded differently or used a different number of significant figures than required for this part.

**Part B: Electric Field Amplitude Calculation**
What is the amplitude of the electric field at the GPS receiver in part (a)?

\[ E_{\text{max}} = 2.71 \times 10^{-6} \, \text{N/C} \]

*Feedback:*
- **Correct!**

**Part C: Magnetic Field Amplitude Calculation**
What is the amplitude of the magnetic field at the GPS receiver in part (a)?

\[ B_{\text{max}} = 9.03 \times 10^{-15} \, \text{T} \]

*Feedback:*
- **Correct!**

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This detailed transcription not only explains the given answers but also breaks down the problem into distinct segments, explaining each step clearly and concisely for educational purposes.
Transcribed Image Text:Below is a detailed transcription of the image content suitable for an educational website: --- ### GPS Satellite Network Analysis **Background Information:** The GPS network consists of 24 satellites, each of which makes two orbits around the Earth per day. Each satellite transmits a 50.0 W (or even less) sinusoidal electromagnetic signal at two frequencies, one of which is 1575.42 MHz. Assume that a satellite transmits half of its power at each frequency and that the waves travel uniformly in a downward hemisphere. **Part A: Intensity Calculation** The satellite signal intensity at the receiver is given as: \[ I = 9.75 \times 10^{-15} \, \text{W/m}^2 \] *Feedback:* - **Correct!** - The correct answer shown is: \[ I = 9.73 \times 10^{-15} \, \text{W/m}^2 \] - The given value of \( 9.73 \times 10^{-15} = 9.73 \times 10^{-15} \, \text{W/m}^2 \) was either rounded differently or used a different number of significant figures than required for this part. **Part B: Electric Field Amplitude Calculation** What is the amplitude of the electric field at the GPS receiver in part (a)? \[ E_{\text{max}} = 2.71 \times 10^{-6} \, \text{N/C} \] *Feedback:* - **Correct!** **Part C: Magnetic Field Amplitude Calculation** What is the amplitude of the magnetic field at the GPS receiver in part (a)? \[ B_{\text{max}} = 9.03 \times 10^{-15} \, \text{T} \] *Feedback:* - **Correct!** --- This detailed transcription not only explains the given answers but also breaks down the problem into distinct segments, explaining each step clearly and concisely for educational purposes.
### Question Transcriptions for Educational Website
  
#### How long does it take the signal to reach the receiver?

- **Prompt:**
  - How long does it take the signal to reach the receiver?
- **Input Field:**
  - \( t = \ \text{s} \)
- **Buttons:**
  - Submit
  - Request Answer

#### Part E

- **Question:**
  - If the receiver is a square panel \(2.50 \ \text{cm}\) on a side that absorbs all of the beam, what average pressure does the signal exert on it?
- **Input Field:**
  - \( P_{av} = \ \text{Pa} \)
- **Buttons:**
  - Submit
  - Request Answer

#### Part F

- **Question:**
  - What wavelength must the receiver be tuned to?
- **Input Field:**
  - Blank input field
- **Buttons:**
  - Submit
  - Request Answer
Transcribed Image Text:### Question Transcriptions for Educational Website #### How long does it take the signal to reach the receiver? - **Prompt:** - How long does it take the signal to reach the receiver? - **Input Field:** - \( t = \ \text{s} \) - **Buttons:** - Submit - Request Answer #### Part E - **Question:** - If the receiver is a square panel \(2.50 \ \text{cm}\) on a side that absorbs all of the beam, what average pressure does the signal exert on it? - **Input Field:** - \( P_{av} = \ \text{Pa} \) - **Buttons:** - Submit - Request Answer #### Part F - **Question:** - What wavelength must the receiver be tuned to? - **Input Field:** - Blank input field - **Buttons:** - Submit - Request Answer
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