Match List I with List II Choose the correct answer from the options given below:LIST I LIST II A. Power of AM Wave I. \(P_c\left(\frac{m^{2}}{4}\right)\) B. Power of VSB II. \(\frac{m^{2}}{4}P_c+F\left(\frac{m^{2}}{4}P_c\right)\) C. Power of SSB III. \(\frac{m^{2}}{4}\left(\frac{V_c^{2}}{2R}\right)+\frac{m^{2}}{4}\left(\frac{V_c^{2}}{2R}\right)\) D. Power of DSBSC IV. \(\frac{V_{carr}^{2}}{R}+\frac{V_{LSB}^{2}}{R}+\frac{V_{USB}^{2}}{R}\)
A-IV, B-II, C-I, D-III
To match List I (Types of power in modulated waves) with List II (their respective power expressions), we need to understand the power distribution in different modulation schemes.
- Power of AM Wave: In an Amplitude Modulated (AM) wave, the total power \(P_{AM}\) consists of the carrier power \(P_c\) and the power of the sidebands. The formula for the power of an AM wave is as follows:
\(P_{AM} = P_c + P_{LSB} + P_{USB}\)
- Therefore, the correct option matches with IV: \(\frac{V_{carr}^{2}}{R} + \frac{V_{LSB}^{2}}{R} + \frac{V_{USB}^{2}}{R}\).
- Power of VSB (Vestigial Sideband): VSB modulation involves a partial suppression of one sideband. Its power includes parts of both AM and additional filtering. The expression for VSB power is:
\(\frac{m^{2}}{4}P_c + F\left(\frac{m^{2}}{4}P_c\right)\)
- This matches with II.
- Power of SSB (Single Side Band): In SSB modulation, only one of the sidebands is transmitted, and the carrier is suppressed. The power expression for SSB is:
\(\frac{m^{2}}{4}\left(\frac{V_c^{2}}{2R}\right)\)
- This matches the option I.
- Power of DSBSC (Double Sideband Suppressed Carrier): In DSBSC modulation, both sidebands are transmitted, but the carrier is suppressed. The power expression is:
\(\frac{m^{2}}{4}\left(\frac{V_c^{2}}{2R}\right) + \frac{m^{2}}{4}\left(\frac{V_c^{2}}{2R}\right)\)
- This corresponds to the option III.
Based on these explanations, the correct matching is: A-IV, B-II, C-I, D-III.
Similar Questions
Assertion (A) : In amplitude modulation technique the modulation index should be close to 1.
Reason (R) : The power carried by message signal in the side bands increases with increase in modulation index.
Read the statements :
i. DSB has two side bands and SSB has one
ii. DSB has carrier and two side bands and SSB has a carrier and a side band
iii. DSB has carrier and two side bands and SSB without carrier and two different side bands.Which statements are correct ?
Assertion (A) : Amplitude modulation is wastage of power.
Reason (R) : Amplitude modulation is wastage of bandwidth.
The peak carrier voltage is 150 V. If the resistor is 200 Ω and the modulation index is 0.5, the total power in the AM signal is :
In amplitude modulation:
A. Amplitude of carrier is varied by modulating signal
B. Modulation index is between 0 and 1
C. Bandwidth is infinite
D. Bandwidth is twice of minimum modulating frequency.
Choose the correct answer from the options given below:
If 1 MHz carrier is amplitude modulated with a 5 kHz audio signal, the Upper Side Band (USB) and Lower Side Band (LSB) frequencies are ________ respectively.
Which of the following is associated with single balanced modulator circuit :
The modulation index of an AM wave is given by :
Consider an AM (amplitude modulated) signal
\(s(t) = 20\left[1 + 0.9\cos 2\pi \times 10^4 t\right]\cos 2\pi \times 10^6 t\)
The power efficiency (η) in the AM signal is
Important Questions from Amplitude Modulation
- An amplitude modulated voltage signal $x(t)$ drives a load of $1\ \Omega$. $$x(t) = K \cos(300\pi t) + L \cos(240\pi t) + L \cos(360\pi t).$$ If the efficiency is $60\%$, and the carrier power is $50\text{ W}$, the value of $L$ is ______ V.
A 2KW carrier is to be modulated to a 90% level. The total transmitted power would be__________.
Assertion (A) : In amplitude modulation technique the modulation index should be close to 1.
Reason (R) : The power carried by message signal in the side bands increases with increase in modulation index.
Read the statements :
i. DSB has two side bands and SSB has one
ii. DSB has carrier and two side bands and SSB has a carrier and a side band
iii. DSB has carrier and two side bands and SSB without carrier and two different side bands.Which statements are correct ?
Assertion (A) : Amplitude modulation is wastage of power.
Reason (R) : Amplitude modulation is wastage of bandwidth.
