(i) R = 1 kΩ, C = 0.01µF (ii) R = 10 kΩ, C = 0.01µF (iii) R = 10 kΩ, C = 0.1µF Answer: Carrier wave frequency, fc – 20 MHz = 20 × 106 Hz Bandwidth = 2fm = 3 × 103 Hz fm = 1.5 × 103 Hz 1/fc = 0.5 ×...
(i) Draw the plot of amplitude versus ‘ω’ for an amplitude modulated wave whose carrier wave (ωc ) is carrying two modulating signals, ω1 and ω2 (ω2 > ω1). [Hint: Follow derivation from Eq 15.6 of NCERT Textbook of XII]
(ii) Is the plot symmetrical about ωc? Comment especially about plot in region ω < ωc (iii) Extrapolate and predict the problems one can expect if more waves are to be modulated (iv) Suggest...
An amplitude modulated wave is as shown in the figure. Calculate
(i) the percentage modulation (ii) peak carrier voltage and (iii) peak value of information voltage Answer; Maximum voltage is given by $ {{V}_{\max }}=\frac{100}{2}=50V $ Minimum voltage is given...
A 50 MHz sky wave takes 4.04 ms to reach a receiver via re-transmission from a satellite 600 km above earth’s surface. Assuming re-transmission time by satellite negligible, find the distance between source and receiver. If communication between the two was to be done by Line of Sight (LOS) method, what should size and placement of receiving and transmitting antenna be?
Answer: According to the question, the velocity of waves = 3 × 108 m/s The time to reach a receiver = 4.04 × 10-3 s we know that the height of satellite is: h = 600 km And the radius of earth = 6400...
(i) The intensity of a light pulse travelling along a communication
channel decreases exponentially with distance x according to the relation I = Ioe–αx, where I o is the intensity at x = 0 and α is the attenuation constant. Show that the intensity reduces by 75...
On radiating (sending out) an AM modulated signal, the total radiated power is due to energy carried by ωc, ωc – ωm & ωc + ωm. Suggest ways to minimise the cost of radiation without compromising on information
Answer: The total radiated power is due to ωc, (ωc – ωm) and (ωc + ωm) carrying energy. The carrier frequency is usually close to the sideband frequencies. In an amplitude modulated transmission,...
The maximum frequency for reflection of sky waves from a certain layer of the ionosphere is found to be f max = 9(Nmax) 1/2, where Nmax is the maximum electron density at that layer of the ionosphere. On a certain day, it is observed that signals of frequencies higher than 5MHz are not received by reflection from the F1 layer of the ionosphere while signals of frequencies higher than 8MHz are not received by reflection from the F2 layer of the ionosphere. Estimate the maximum electron densities of the F1 and F2 layers on that day.
Answer: Expression fpor the maximum frequency is: fmax = 9(Nmax)1/2 According to the question, for Layer F1, fmax = 5 MHz $ {{N}_{\max }}=\frac{F_{\max }^{2}}{9\times 9}=\frac{5\times...
If the whole earth is to be connected by LOS communication using space waves (no restriction of antenna size or tower height), what is the minimum number of antennas required? Calculate the tower height of these antennas in terms of earths radius?
Answer: We know that the distance or range of transmission tower is given by the expression: $dT=\sqrt{2{{h}_{T}}R}$ R represents the radius of the earth (approximately 6400 km). hT denotes the...
A TV transmission tower antenna is at a height of 20 m. How much service area can it cover if the receiving antenna is
(i) at ground level, (ii) at a height of 25 m? Calculate the percentage increase in area covered in case (ii) relative to case (i). Answer: We know that: $ {{R}_{e}}=6.4\times {{10}^{6}}m $ The...
Figure shows a communication system. What is the output power when the input signal is of 1.01mW? (gain in dB = 10 log10 (Po /Pi ).
Answer: It is given that there is a loss of signal 2dB per km. So total loss suffered in 5km = -2 x 5 = -10 dB. In both input and output amplifiers, the total gain of the signal is given by: =...
Why is an AM signal likely to be noisier than an FM signal upon transmission through a channel?
Answer: In an amplitude modulated wave, the carrier wave's instantaneous voltage varies. As a result, assuming noise as a part of the modulated signal, a noise signal can be added and received...
Compute the LC product of a tuned amplifier circuit required to generate a carrier wave of 1 MHz for amplitude modulation.
Answer: $ v=1MHz={{10}^{6}}Hz $ $ v=\frac{1}{2\pi \sqrt{LC}} $ $ Or,\sqrt{LC}=\frac{1}{2\pi v} $ $ LC=\frac{1}{{{(2\pi v)}^{2}}}=\frac{1}{4\times 3.14\times 3.14\times {{10}^{12}}} $ $...
The maximum amplitude of an A.M. wave is found to be 15 V while its minimum amplitude is found to be 3 V. What is the modulation index?
Answer: The modulation index is the ratio of the change in carrier wave amplitude to the original carrier wave amplitude. according to the question, the maximum amplitude of AM wave is Amax = Ac +...
Two waves A and B of frequencies 2 MHz and 3 MHz, respectively are beamed in the same direction for communication via skywave. Which one of these is likely to travel a longer distance in the ionosphere before suffering total internal reflection?
Answer: The refractive index rises as the frequency rises, implying that the angle of refraction is smaller for higher frequency waves. In other words, bending is less. As a result, after covering a...
Would sky waves be suitable for transmission of TV signals of 60 MHz frequency?
Answer; Skywaves will not be suitable for transmitting TV signals with a frequency of 60 MHz since the TV signals are higher than 60 MHz. It is necessary to use space wave transmission.
Which of the following would produce analogue signals and which would produce digital signals?
(i) A vibrating tuning fork (ii) Musical sound due to a vibrating sitar string (iii) Light pulse (iv) Output of NAND gate Answer: i) A vibrating tuning fork will produce an analog signal ii) musical...
In amplitude modulation, the modulation index m, is kept less than or equal to 1 because
(a) m > 1, will result in interference between the carrier frequency and message frequency, resulting in distortion (b) m > 1 will result in overlapping of both sidebands resulting into loss...
The frequency response curve in the figure for the filter circuit used for production of AM wave should be
(a) (i) followed by(ii) (b) (ii) followed by (i) (c) (iii) (d) (iv) Answer: The correct options are: (a) (i) followed by(ii) (b) (ii) followed by (i) (c) (iii) Explanation: The band pass filter...
A TV transmission tower has a height of 240 m. Signals broadcast from this tower will be received by LOS communication at a distance of (assume the radius of the earth to be 6.4 × 106 m)
(a) 100 km (b) 24 km (c) 55 km (d) 50 km Answer: The correct options are (b) 24 km (c) 55 km and (d) 50 km Explanation: $ {{h}_{T}}=240m $ $ R=6.4\times {{10}^{6}}m $ For, LOS communication we have:...
Audio sine waves of 3 kHz frequency are used to amplitude modulate a carrier signal of 1.5 MHz. Which of the following statements are true?
(a) The sideband frequencies are 1506 kHz and 1494 kHz (b) The bandwidth required for amplitude modulation is 6kHz (c) The bandwidth required for amplitude modulation is 3 MHz (d) The sideband...
An audio signal of 15kHz frequency cannot be transmitted over long distances without modulation because
(a) the size of the required antenna would be at least 5 km which is not convenient (b) the audio signal can not be transmitted through sky waves (c) the size of the required antenna would be at...
Identify the mathematical expression for amplitude modulated wave:
a) Ac sin [{ωc + k1vm(t)}t + φ ] (b) Ac sin {ωc t + φ + k2 vm(t)} (c) {Ac + k2 vm(t)} sin (ωc t + φ ) (d) Ac vm(t) sin (ωc t + φ ) Answer: The correct option is (c) {Ac + k2 vm(t)} sin (ωc t + φ )...
A basic communication system consists of
(A) transmitter (B) information source (C) user of information (D) channel (E) receiver Choose the correct sequence in which these are arranged in a basic communication system: (a) ABCDE (b) BADEC...
A male voice after modulation-transmission sounds like that of a female to the receiver. The problem is due to
a) poor selection of modulation index (selected 0 < m < 1) (b) poor bandwidth selection of amplifiers (c) poor selection of carrier frequency (d) loss of energy in transmission Answer: The...
I-V characteristics of four devices are shown in the figure.
Identify devices that can be used for modulation: (a) ‘i’ and ‘iii’ (b) only ‘iii’ (c) ‘ii’ and some regions of ‘iv’ (d) All the devices can be used. Answer: The correct option is (c) ‘ii’ and some...
A message signal of frequency ωm is superposed on a carrier wave of frequency ωc to get an amplitude modulated wave (AM). The frequency of the AM wave will be
(a) ωm (b) ωc (c) ωc + ωm/2 (d) ωc – ωm/2 Answer: The correct option is (b) ωc Explanation: Frequency of carrier wave = ωc Frequency of modulated wave = ωc
A speech signal of 3 kHz is used to modulate a carrier signal of frequency 1 MHz, using amplitude modulation. The frequencies of the sidebands will be
(a) 1.003 MHz and 0.997 MHz (b) 3001 kHz and 2997 kHz (c) 1003 kHz and 1000 kHz (d) 1 MHz and 0.997 MHz Answer: The correct option is (a) 1.003 MHz and 0.997 MHz Explanation: $ {{\omega...
A 1 KW signal is transmitted using a communication channel which provides attenuation at the rate of – 2dB per km. If the communication channel has a total length of 5 km, the power of the signal received is [gain in dB = 10 log P0/P1]
(a) 900 W (b) 100 W (c) 990 W (d) 1010 W Answer: The correct option is (b) 100 W Explanation: According to the question, Pi =1 kW = 1000W The rate of attenuation of the signal = -2dB/km Length of...
A 100m long antenna is mounted on a 500m tall building. The complex can become a transmission tower for waves with λ
(a) ~ 400 m (b) ~ 25 m (c) ~ 150 m (d) ~ 2400 m Answer: The correct option is (a) ~ 400 m Explanation: According to the question, the length of building ois l = 500m and Length of antenna is 100m...
Three waves A, B and C of frequencies 1600 kHz, 5 MHz and 60 MHz, respectively are to be transmitted from one place to another. Which of the following is the most appropriate mode of communication:
(a) A is transmitted via space wave while B and C are transmitted via skywave (b) A is transmitted via ground wave, B via skywave and C via space wave (c) B and C are transmitted via ground wave...