The audio signal voltage is given by $$Vm=2sin12$$π×$$103t$$ . The band width and LSB if carrier wave has a frequency $$3.14$$×$$106rad/s$$

Question

The audio signal voltage is given by $$Vm=2sin12$$π×$$103t$$ . The band width and LSB if carrier wave has a frequency $$3.14$$×$$106rad/s$$

Infinity Learn · Accepted Answer

Given  : $$Vm=2sin12$$π×$$103t$$  Comparing with $$Vm=V0sinwmt$$   we get,  $$wm=12$$π×$$103$$ ⇒$$2$$$$π$$$$fm=12$$π×$$103$$ ⇒$$fm=6000Hz=6kHz$$  Also,  it is given that $$wc=2$$$$π$$$$fc=3.14$$×$$106$$ $$rad/s$$ ⇒$$2$$$$π$$$$fc=$$π×$$106$$ ⇒$$fc=5$$×$$105Hz=500kHz$$  Now,  Band width  $$=$$ (fc+fm)−(fc$$−$$fm)                                   $$=2fm=12kHz$$  and LSB $$=$$ fc−fm $$=$$ $$500$$ $$-$$ $$6$$ $$=$$ $$494$$ kHz

The audio signal voltage is given by $V_{m} = 2 s i n 12 π \times 10^{3} t$ . The band width and LSB if carrier wave has a frequency $3.14 \times 10^{6} r a d / s$

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The audio signal voltage is given by Vm=2sin12π×103t . The band width and LSB if carrier wave has a frequency 3.14×106rad/s

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The audio signal voltage is given by $V_{m} = 2 s i n 12 π \times 10^{3} t$ . The band width and LSB if carrier wave has a frequency $3.14 \times 10^{6} r a d / s$