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Solved Examples · Example 8

Q.An unmodulated carrier is 300 VP−PV_{P-P}. Calculate the percentage of modulation when its maximum p-p value reaches 500V.

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[!TLDR]

With VC=150V_C = 150 V and Vmax=250V_{max} = 250 V (peak), ma=(Vmax−VC)/VC=0.666m_a = (V_{max}-V_C)/V_C = 0.666, i.e. 66.6% modulation.

The amplitudes are quoted peak-to-peak, so each is first halved to get the peak value. The unmodulated carrier fixes VCV_C; when modulated, the envelope peak reaches Vmax=VC+maVC=VC(1+ma)V_{max} = V_C + m_a V_C = V_C(1 + m_a), which rearranges to ma=(Vmax−VC)/VCm_a = (V_{max} - V_C)/V_C.

Given VC(P−P)=300V_{C(P-P)} = 300 V and Vmax(P−P)=500V_{max(P-P)} = 500 V: …

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