State what is meant by the amplitude modulation (AM) of a radio wave.
- (a)State what is meant by the amplitude modulation (AM) of a radio wave.[2]
- (b)A radio wave is modulated by an audio signal. The variation with frequency f of the amplitude of the modulated wave is shown in [Figure 5.1]. Determine:
- (b)(i)the wavelength of the carrier wave wavelength = .............................................................. m [1][1]
- (b)(ii)the bandwidth of the modulated wave bandwidth = ........................................................... kHz [1][1]
- (b)(iii)the maximum frequency of the audio signal. maximum frequency = ........................................................ kHz [1][1]
- (c)The power of a radio signal at a transmitter is PT. At a receiver, the received power PR is given by the expression PR = (0.082 PT) / x² where x is the distance, in metres, between the transmitter and the receiver. For the transmission of this signal, the attenuation is 73 dB. Determine the distance x. x = ............................................................... m [3][3]
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Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [1] (a) amplitude of the carrier wave varies
- [1] in synchrony with the displacement of the (information) signal
- [1] (b)(i) wavelength = (3.0 × 10^8) / (300 × 10^3)
- [1] = 1000 m
- [1] (b)(ii) bandwidth = 16 kHz
- [1] (b)(iii) frequency = 8 kHz
- [1] (c) attenuation = 10 lg (P1/P2)
- [1] 73 = 10 lg (PT/PR)
- [1] 73 = 10 lg (PT x² / 0.082 PT)
- [1] x² / 0.082 = 10^7.3
- [1] x = 1300 m
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