The modulation frequency of an AM radio station is $$250$$ kHz , which is $$10$$% of the carrier wave. If another AM station approaches you for license, what broadcast frequency will you allot?

Question

The modulation frequency of an AM radio station is $$250$$ kHz , which is $$10$$% of the carrier wave. If another AM station approaches you for license,  what broadcast frequency will you allot?

Infinity Learn · Accepted Answer

Given,     $$fm=$$ $$250$$ KHz  And also that fm  is $$10$$ % of fc , i.e   $$fc=2500KHz$$  Now,  For a given carrier wave of frequency with modulation frequency  fm , the band width is calculated by  $$fupper=fc+fm$$ $$flower=fc$$−fm  To avoid overlapping of band widths, net broadcast frequencies can be $$f1=fc$$±$$2fm$$,$$f2=fc$$±$$3fm$$  So next immediate available broad cast frequency is $$f1=fc+2fm$$ $$=$$   $$2500+(2$$×$$250)=3000KHz$$     and     $$f1$$'$$=fc-2fm$$ $$=$$ $$2500$$−$$(2$$×$$250)=2000KHz$$

The modulation frequency of an AM radio station is 250 kHz , which is 10% of the carrier wave. If another AM station approaches you for license, what broadcast frequency will you allot?

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