# Determine the bandwidth required for an FM signal having frequency 2 kHz and maximum deviation 10 kHz.

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Determine the bandwidth required for an FM signal having frequency 2 kHz and maximum deviation 10 kHz.
1. 16 kHz
2. 32 kHz
3. 24 kHz
4. 8 kHz

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Correct Answer - Option 3 : 24 kHz

Concept:

According to Carson rule signal, BW is given as:

B.W = (β + 1) 2fm

$\becauseβ=\frac{Δf}{f_m}$

B.W. = 2[Δf + fm]

If multiple frequencies are available in modulating signal then,

B.W. = 2(β + 1) fmax

Calculation:

Given:

Δf = 10 kHz

fm = 2 kHz

B.W. = 2[Δf + fm]

B.W. = 2(10 + 2)

BW = 24 kHz

Hence option (3) is the correct answer.