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A carrier wave of frequency 1.5 MHz and...

A carrier wave of frequency 1.5 MHz and amplitude 50 V is modulated by a sinusoidal wave of frequency 10 kHZ producing 50% modulation . Calculate the amplitude of AM wave and frequencies of the side bands produced .

Text Solution

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`f_c= 1.5 MHz`
` E=50V `
`f_m= 10 kHz`
`m_a= 50% `
`m_a= ( E_("max")-E_("min"))/(E_("max") + E_("min"))`
` (50)/(100)= (50-E_("min"))/(50 + E_("min"))`
`50 + E_("min") = 100 - 2E_("min")`
` 3E_("min") = 50`
` E_("min")= 16.66V`
Side band `= f_(c) pm f_(m)`
`= 1500 pm 10 kHz`
`=1510 & 1490 kHz`.
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