Identify the mathematical expression for amplitude modulated wave, (a) Acsin[{wc+K1Vm(t)}t+ ϕ ] (b) Acsin[{wct+ ϕ + K2Vm(t)] (c) Ac+K2Vmt}+sinwct+ ϕ ] (d) Ac Vm(t)sin[{wct+ ϕ )

Identify the mathematical expression for amplitude modulated wave,

(a) A_csin[{w_c+K₁V_m(t)}t+ $ϕ$ ]

(b) A_csin[{w_ct+ $ϕ +$ K₂V_m(t)]

(c) A_c+K₂V_mt}+sinw_ct+ $ϕ$ ]

(d) A_cV_m(t)sin[{w_ct+ $ϕ$ )

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Alok Kumar Singh | Contributor-Level 10

10 months ago

This is a Multiple Choice Questions as classified in NCERT Exemplar

Explanation-equation of modulating wave is, m (t)= A_msinw_mt

Carrier wave equation is C_m (t)= (A_c+A_msinw_mt)sinw_ct

= A_c [1+ $\frac{A_{m}}{A_{c}} s i n w_{m} t$ ]sinw_ct

Also $\frac{A_{m}}{A_{c}}$ = M

C_mt= (A_c+A_{c $* \propto s i n w_{m} t$} )sinw_ct

Ac $* \propto$ =K

Sinw_mt= V_m

equation having phase $\emptyset$

so equation is A_c+K₂V_mt}+sinw_ct

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