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Consider an FM broadcast that employs the pre-emphasis filter with frequency response H_pe(ω) = 1 + jω/ω₀, where ω₀ = 10⁴ rad/sec. For the network shown in the figure to act as a corresponding de-emphasis filter, the appropriate pair(s) of (R, C) values is/are _______.

1. R = 1 kΩ, C = 0.1 μF
2. R = 2 kΩ, C = 1 μF
3. R = 1 kΩ, C = 2 μF
4. R = 2 kΩ, C = 0.5 μF

Correct answer: R = 1 kΩ, C = 0.1 μF

Solution

The correct option provides values for R and C that create a time constant that matches the de-emphasis requirements of the FM broadcast system, effectively counteracting the pre-emphasis filter's frequency response to restore the original signal's characteristics.

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