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Chapter 9: Problem 78

For a carrier frequency of \(100 \mathrm{kHz}\) and a modulating frequency of \(5 \mathrm{kHz}\), what is the band width of AM transmission? (A) \(5 \mathrm{kHz}\) (B) \(10 \mathrm{kHz}\) (C) \(20 \mathrm{kHz}\) (D) \(200 \mathrm{kHz}\)

Short Answer

Expert verified
The bandwidth of the AM transmission is calculated using the formula: Bandwidth = 2 脳 Modulating frequency. Given a modulating frequency of \(5\, kHz\), the bandwidth is 2 脳 \(5\, kHz\) which equals \(10\, kHz\). Therefore, the correct answer is (B) \(10\, kHz\).

Step by step solution

01

Identify the given variables

We are given the following information: - Carrier frequency: \(100\, kHz\) - Modulating frequency: \(5\, kHz\)
02

Calculate the bandwidth of the AM transmission

To find the bandwidth of an AM signal, we use the formula: Bandwidth = 2 脳 Modulating frequency We are given the modulating frequency (5 kHz), so we can calculate the AM transmission bandwidth as follows: Bandwidth = 2 脳 \(5\, kHz\) Bandwidth = \(10\, kHz\)
03

Choose the correct answer

Since the calculated bandwidth is \(10\, kHz\), the correct answer is option (B).

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