First slide

Modulation

Question

An AM wave is expressed as $E = 10 (1 + 0.6 C o s 2000 π t) C o s 2 \times 10^{8} π t V o l t s$ , the minimum and maximum values of modulated carrier wave are

Moderate

A

10 V , 20 V
B

4 V , 8V
C

4 V , 16 V
D

8 V , 20 V

Solution

$M o d u l a t e d s i g n a l c a n b e w r i t t e n a s E (t) = E_{c} [1 + μ \cos w_{m} t] \cos w_{c} t G i v e n e q u a t i o n E = 10 [1 + 0.6 \cos 2000 π t] \cos 2 \times 10^{8} π t C o m p a r i n g e q u a t i o n s μ = 0.6 a n d E_{c} = 10 N o w, E_{\max} = (1 + μ) E_{c} = (1 + 0.6) 10 = 16 V a n d E_{\min} = (1 - μ) E_{c} = (1 - 0.6) 10 = 4 V$

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