For a carrier frequency of 100 kHz and a modulating frequency of 5kHz what is the width of AM transmission-

Options

A. 5 kHz
B. 10 kHz
C. 20 kHz
D. 200 kHz

Explanation

To find the width of AM transmission given a carrier frequency of 100 kHz and a modulating frequency of 5 kHz, we can follow these steps:

### Step 1: Understand the concept of AM transmission width
The width of an Amplitude Modulation (AM) transmission is determined by the modulating frequency. The formula for calculating the width of AM transmission is given by:

\[ \Delta \omega = 2 \times f_m \]

where \( f_m \) is the modulating frequency.

### Step 2: Identify the given values
From the problem, we have:
- Carrier frequency (\( f_c \)) = 100 kHz (though it is not directly needed for this calculation)
- Modulating frequency (\( f_m \)) = 5 kHz

### Step 3: Substitute the values into the formula
Using the formula for the width of AM transmission:

\[ \Delta \omega = 2 \times f_m = 2 \times 5 \text{ kHz} \]

### Step 4: Calculate the width
Now, perform the multiplication:

\[ \Delta \omega = 2 \times 5 \text{ kHz} = 10 \text{ kHz} \]

### Step 5: Conclusion
Thus, the width of the AM transmission is 10 kHz.

### Final Answer:
The width of AM transmission is **10 kHz**.

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