Math Problem Statement
Hitung data tersebut
Solution
The text in your image is in Indonesian and discusses creating a wave at a specific time and calculating modulation based on given frequency and amplitude values. Here is a breakdown of the information and what we need to calculate:
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Given Data for Experiment 1:
- Frequency of message signal = 5 Hz
- Amplitude of message signal = 5
- Frequency of carrier signal = 50 Hz
- Amplitude of carrier signal = 10
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Given Data for Experiment 2:
- Frequency of message signal = 5 Hz
- Amplitude of message signal = 5
- Frequency of carrier signal = 50 Hz
- Amplitude of carrier signal = 10
Both sets of data seem identical in values for , , , and , indicating they might be testing the stability of modulation.
Step-by-Step Calculation Approach
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Calculate Modulation Index (m): The modulation index is given by: Substitute the given values:
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Calculate the Resulting Modulated Frequency:
- In an amplitude modulation (AM) system, the modulated signal frequency will include the carrier frequency along with sidebands created by adding and subtracting the message frequency.
- This results in a spectrum with frequencies , , and .
For our values:
- Carrier frequency Hz
- Sidebands:
- Hz
- Hz
Summary of Results
- Modulation Index : 0.5
- Modulated Frequencies: 50 Hz (Carrier), 55 Hz (Upper Sideband), and 45 Hz (Lower Sideband)
Would you like further details on each calculation step or additional explanations on modulation concepts?
Relative Questions
- What is the significance of the modulation index in AM?
- How does changing or affect the modulation index?
- Why are sidebands important in amplitude modulation?
- How does frequency modulation (FM) differ from amplitude modulation (AM)?
- Can the modulation index exceed 1, and if so, what does that imply?
Tip
In AM, the modulation index should ideally stay below 1 to prevent over-modulation, which can lead to signal distortion.
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Math Problem Analysis
Mathematical Concepts
Amplitude Modulation
Frequency Calculation
Modulation Index
Formulas
Modulation Index (m) = Ap / Ac
Upper Sideband Frequency = Fc + Fp
Lower Sideband Frequency = Fc - Fp
Theorems
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Suitable Grade Level
Grades 10-12
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