vvucn Liie modulating frequency in an FM system is 600Hz andmodulating voltage is 2.1V, modulation index is 50. Calculate themaximum deviation . What is the modulating index at modulatingvoltage of 4V and modulating frequency 300Hz.Compare narrowband frequency modulation and wideband frequency modulation.

To calculate the maximum deviation in an FM system, we need to use the formula:

Maximum Deviation (Δf) = Modulating Frequency (fm) * Modulation Index (β)

Given that the modulating frequency (fm) is 600Hz and the modulation index (β) is 50, we can substitute these values into the formula:

Δf = 600Hz * 50

Δf = 30,000Hz

Therefore, the maximum deviation is 30,000Hz.

To calculate the modulation index at a modulating voltage of 4V and a modulating frequency of 300Hz, we need to use the formula:

Modulation Index (β) = Modulating Voltage (Vm) / Maximum Deviation (Δf)

Given that the modulating voltage (Vm) is 4V and the maximum deviation (Δf) is 30,000Hz, we can substitute these values into the formula:

β = 4V / 30,000Hz

β ≈ 0.000133

Therefore, the modulation index at a modulating voltage of 4V and a modulating frequency of 300Hz is approximately 0.000133.

Now, let's compare narrowband frequency modulation (NBFM) and wideband frequency modulation (WBFM):

Narrowband frequency modulation is a type of FM where the modulation index is relatively small, typically less than 1. This means that the frequency deviation is small, resulting in a narrow bandwidth. NBFM is commonly used in applications such as two-way radios and walkie-talkies.

Wideband frequency modulation, on the other hand, has a larger modulation index, typically greater than 1. This results in a larger frequency deviation and a wider bandwidth. WBFM is used in applications such as FM radio broadcasting and high-quality audio transmission.

In summary, the main difference between NBFM and WBFM lies in the modulation index and the resulting bandwidth. NBFM has a smaller modulation index and a narrower bandwidth, while WBFM has a larger modulation index and a wider bandwidth.