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 :
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
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 :
Important Questions from Amplitude Modulation
The highest modulation frequency typically used in AM broadcast is
Which of the following is NOT the advantage of amplitude modulation?
Bandwidth requirement for Amplitude modulated wave is:
The frequency range of AM radio is:
In an amplitude modulated system, a sinusoidal carrier signal of 1 MHz is modulated by a 10 kHz sinusoidal signal. If the lower sideband and the carrier are suppressed and if the amplitude modulated signal is sampled for further processing, what should be the minimum sampling frequency for baseband sampling?
