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A sinusoidal signal of 4 kHz frequency is used as a modulating signal for an FM and an AM transmitter. Both of the transmitters use the same amplitude for the un-modulated carrier. The peak frequency deviation in the FM transmitter is set to four times the bandwidth of the AM transmitter and, the magnitudes of the spectral components at 
(
= carrier frequency) are same for both of the transmitters.
Determine the modulation indices for the AM and FM transmitters.
[If required use the values of the Bessel function given below:
, 
, 
,
]
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