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Question

# Consider the message signal m(t) shown in the figure below: This signal is applied frequency modulator whose carrier frequency is 100 MHz and frequency sensitivity is 100 Hz/V. The maximum phase deviation of the resultant FM signal will be

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Solution

## The correct option is C π radiansThe maximum phase deviation of an FM signal can be given by. Δϕmax=2πkf∣∣∣∫t−∞m(τ)dτ∣∣∣max For the given message signal m(t) ∣∣∣∫t∞m(τ)dτ∣∣∣max= Area of the first rectangular portion (i.e., for 0≤t≤1 ms) =(1 ms)×5V=51000 V-sec So, Δϕmax=2π×100×51000 radians =π radians

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