English
Karnataka Board PUCPUC Science 2nd PUC Class 12

A Carrier Wave of Peak Voltage 12 V is Used to Transmit a Message Signal. What Should Be the Peak Voltage of the Modulating Signal in Order to Have a Modulation Index of 75%?

Advertisements
Advertisements

Question

A carrier wave of peak voltage 12 V is used to transmit a message signal. What should be the peak voltage of the modulating signal in order to have a modulation index of 75%?

Advertisements

Solution

Amplitude of the carrier wave, Ac = 12 V

Modulation index, m = 75% = 0.75

Amplitude of the modulating wave = Am

Using the relation for modulation index:

`m = A_m/A_c`

`:. A_m = mA_c`

`= 0.75 xx 12 = 9 V`

shaalaa.com
  Is there an error in this question or solution?

RELATED QUESTIONS

The process of superimposing a low frequency signal on a high frequency wave is_______ .


Define modulation index.


How are side bands produced?


The carrier wave is given by

C(t) = 2sin(8πt) volt.

The modulating signal is a square wave as shown. Find modulation index.

 


Due to economic reasons, only the upper sideband of an AM wave is transmitted, but at the receiving station, there is a facility for generating the carrier. Show that if a device is available which can multiply two signals, then it is possible to recover the modulating signal at the receiver station.


Explain the need for modulation related to the size of antenna (aerial).


Why is Modulation index kept low?


State any two types of modulation


The carrier wave is represented by

\[C(t) = 5 \sin(10\pi t)\]
A modulating signal is a square wave as shown. Determine modulation index.

In the block diagram of a simple modulator for obtaining an AM signal, shown in the figure, identify the boxes A and B. Write their function.


In the given block diagram of a receiver, identify the boxes labeled as X and Y and write their functions.


Answer the following question.
Why a signal transmitted from a TV tower cannot be received beyond a certain distance? Write the expression for the optimum separation between the receiving and the transmitting antenna.


A 20 volt AC is applied to a circuit consisting of a resistance and a coil with negligible resistance. If the voltage across the resistance is 12 volt, the voltage across the coil is ______.


Broadcasting antennas are generally ______.


A 100 m long antenna is mounted on a 500 m tall building. The complex can become a transmission tower for waves with λ.


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 ______.


An audio signal of 15kHz frequency cannot be transmitted over long distances without modulation because ______.

  1. the size of the required antenna would be at least 5 km which is not convenient.
  2. the audio signal can not be transmitted through sky waves.
  3. the size of the required antenna would be at least 20 km, which is not convenient.
  4. effective power transmitted would be very low, if the size of the antenna is less than 5 km.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×