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A transmitter radiates \(10 \mathrm{~kW}\) of power with the carrier unmodulated and \(11.8 \mathrm{~kW}\) with the carrier sinusoidally modulated. The modulation factor is
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The correct answer is:
\(60 \%\)
\(\begin{aligned}
& P_{\mathrm{c}}=\mathrm{P}_{\mathrm{t}}\left(1+\frac{\mathrm{m}^2}{2}\right) \\
& \Rightarrow 11.8=10\left(1+\frac{\mathrm{m}^2}{2}\right) \\
& \Rightarrow \mathrm{m}=0.6 \Rightarrow \% \text { modulation }=60 \% .
\end{aligned}\)
& P_{\mathrm{c}}=\mathrm{P}_{\mathrm{t}}\left(1+\frac{\mathrm{m}^2}{2}\right) \\
& \Rightarrow 11.8=10\left(1+\frac{\mathrm{m}^2}{2}\right) \\
& \Rightarrow \mathrm{m}=0.6 \Rightarrow \% \text { modulation }=60 \% .
\end{aligned}\)
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