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Exercises · Q13

Q.A composite signal contains frequencies between 500 MHz and 1GHz. What is the bandwidth of a signal?

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Bandwidth is the difference between the highest and lowest frequencies in a composite signal — here, 500 MHz.

The idea of bandwidth comes directly from the electromagnetic spectrum. Any real-world signal — whether it's a Wi-Fi transmission, a radio broadcast, or a fibre-optic pulse — is never a single pure frequency. It is a composite of many frequencies, spread over a range. That range is what we call the bandwidth.

Think of it like a highway. The lowest frequency is one edge of the road, the highest frequency is the other edge. The bandwidth is the width of the road — how much frequency space the signal occupies. A wider bandwidth means the signal can carry more information per second, which is why high-definition video needs more bandwidth than a voice call.

The formula is straightforward:

Bandwidth=fmax−fmin\text{Bandwidth} = f_{\text{max}} - f_{\text{min}} …

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