What average intensity does a GPS receiver on the ground, directly below the satellite, receive? (Hint: First use Newton's laws to find the altitude of the satellite.) ΨΕ ΑΣΦ ? I = W/m² Submit Request Answer Part B What is the amplitude of the electric field at the GPS receiver in part (a)? 1951 ΑΣΦ ? Emaz= N/C Submit Request Answer Part C What is the amplitude of the magnetic field at the GPS receiver in part (a)?

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### GPS Satellite Network and Receiver Intensity Calculation

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.

#### Problem Description

**Part A:**
What average intensity does a GPS receiver on the ground, directly below the satellite, receive? 
*(Hint: First use Newton's laws to find the altitude of the satellite.)*

**Answer Format:**
\[ I = \quad \text{W/m}^2 \]

**Input Box:**
A text box for entering the numerical value of the intensity.

**Submit Button:**
A button marked "Submit" for submitting the answer.

**Request Answer Link:**
An option to request the answer if needed.

---

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

**Answer Format:**
\[ E_{\text{max}} = \quad \text{N/C} \]

**Input Box:**
A text box for entering the numerical value of the electric field amplitude.

**Submit Button:**
A button marked "Submit" for submitting the answer.

**Request Answer Link:**
An option to request the answer if needed.

---

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

**Answer Format:**
\[ B_{\text{max}} = \quad \text{T} \]

**Input Box:**
A text box for entering the numerical value of the magnetic field amplitude.

**Submit Button:**
A button marked "Submit" for submitting the answer.

**Request Answer Link:**
An option to request the answer if needed.

---

*Note: This educational exercise involves the application of Newton's laws for determining the altitude of the satellites, the calculation of electromagnetic wave intensities, and the understanding of electric and magnetic field amplitudes.*
Transcribed Image Text:### GPS Satellite Network and Receiver Intensity Calculation 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. #### Problem Description **Part A:** What average intensity does a GPS receiver on the ground, directly below the satellite, receive? *(Hint: First use Newton's laws to find the altitude of the satellite.)* **Answer Format:** \[ I = \quad \text{W/m}^2 \] **Input Box:** A text box for entering the numerical value of the intensity. **Submit Button:** A button marked "Submit" for submitting the answer. **Request Answer Link:** An option to request the answer if needed. --- **Part B:** What is the amplitude of the electric field at the GPS receiver in part (a)? **Answer Format:** \[ E_{\text{max}} = \quad \text{N/C} \] **Input Box:** A text box for entering the numerical value of the electric field amplitude. **Submit Button:** A button marked "Submit" for submitting the answer. **Request Answer Link:** An option to request the answer if needed. --- **Part C:** What is the amplitude of the magnetic field at the GPS receiver in part (a)? **Answer Format:** \[ B_{\text{max}} = \quad \text{T} \] **Input Box:** A text box for entering the numerical value of the magnetic field amplitude. **Submit Button:** A button marked "Submit" for submitting the answer. **Request Answer Link:** An option to request the answer if needed. --- *Note: This educational exercise involves the application of Newton's laws for determining the altitude of the satellites, the calculation of electromagnetic wave intensities, and the understanding of electric and magnetic field amplitudes.*
### Signal Propagation Exercise

**Question: How long does it take the signal to reach the receiver?**

- **Answer Input:**
  - \( t = \quad \text{s} \)

- **Buttons and Tools:**
  - Mathematical symbols and equation editor
  - Various formatting tools such as undo, redo, reload, insert text, and help
  
- **Action:**
  - Submit button
  - Request Answer link

---

**Part E**

**Question: If the receiver is a square panel 2.50 cm on a side that absorbs all of the beam, what average pressure does the signal exert on it?**

- **Answer Input:**
  - \( P_{av} = \quad \text{Pa} \)

- **Buttons and Tools:**
  - Mathematical symbols and equation editor
  - Various formatting tools such as undo, redo, reload, insert text, and help
  
- **Action:**
  - Submit button
  - Request Answer link

---

**Part F**

**Question: What wavelength must the receiver be tuned to?**

- **Answer Input:**
  - \( \lambda = \quad \text{m} \)

- **Buttons and Tools:**
  - Mathematical symbols and equation editor
  - Various formatting tools such as undo, redo, reload, insert text, and help
  
- **Action:**
  - Submit button
  - Request Answer link
Transcribed Image Text:### Signal Propagation Exercise **Question: How long does it take the signal to reach the receiver?** - **Answer Input:** - \( t = \quad \text{s} \) - **Buttons and Tools:** - Mathematical symbols and equation editor - Various formatting tools such as undo, redo, reload, insert text, and help - **Action:** - Submit button - Request Answer link --- **Part E** **Question: If the receiver is a square panel 2.50 cm on a side that absorbs all of the beam, what average pressure does the signal exert on it?** - **Answer Input:** - \( P_{av} = \quad \text{Pa} \) - **Buttons and Tools:** - Mathematical symbols and equation editor - Various formatting tools such as undo, redo, reload, insert text, and help - **Action:** - Submit button - Request Answer link --- **Part F** **Question: What wavelength must the receiver be tuned to?** - **Answer Input:** - \( \lambda = \quad \text{m} \) - **Buttons and Tools:** - Mathematical symbols and equation editor - Various formatting tools such as undo, redo, reload, insert text, and help - **Action:** - Submit button - Request Answer link
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