The antenna current of an AM transmitter is 8 $A$ when only carrier is sent. It is increased to 8.96 $A$ when the carrier is sinusoidally modulated. The percentage modulation is :

50%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

60%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

65%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

71%

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
71%

We know that $(\frac{I_{t}}{I_{c}})^{2} = 1 + \frac{m^{2}}{2}$

Here, $I_{t} = 8.96 A$ and $I_{c} = 8 A$

$(\frac{8.96}{8})^{2} = 1 + \frac{m^{2}}{2}$ or $1.254 = 1 + \frac{m^{2}}{2}$

$m = 0.71$

Suggest Corrections

Similar questions

The antenna current of an AM transmitter is 8 $A$ when only carrier is sent. It is increased to 8.96 $A$ when the carrier is sinusoidally modulated. The percentage modulation is :

Q. The antenna current of an AM transmitter is

8 A

when only the carrier is sent, but it increases to

8.93 A

when the carrier is modulated by a single wave. The percentage modulation is

Q. The antenna current of an AM transmitter is

8

A when only the carrier is sent, but it increases to

8.93

A when the carrier is modulated by single sine wave. Find the percentage modulation.

Q. When only carrier is transmitted, antenna current observed is

8 A

, when it is modulated with

500 H z

sine wave, antenna current becomes

9.6 A

. The percentage of modulation is

Q. When a carrier signal is amplitude modulated by a sinusoidal signal, the antenna current of the transmitter is increased by 50% from that of unmodulated case. The modulation index of the AM signal is equal to

Join BYJU'S Learning Program

The antenna current of an AM transmitter is 8A when only carrier is sent. It is increased to 8.96A when the carrier is sinusoidally modulated. The percentage modulation is :

The correct option is D 71% We know that (ItIc)2=1+m22 Here, It=8.96A and Ic=8A (8.968)2=1+m22 or 1.254=1+m22 m=0.71

The antenna current of an AM transmitter is 8 $A$ when only carrier is sent. It is increased to 8.96 $A$ when the carrier is sinusoidally modulated. The percentage modulation is :

The correct option is D
71%

We know that $(\frac{I_{t}}{I_{c}})^{2} = 1 + \frac{m^{2}}{2}$

Here, $I_{t} = 8.96 A$ and $I_{c} = 8 A$

$(\frac{8.96}{8})^{2} = 1 + \frac{m^{2}}{2}$ or $1.254 = 1 + \frac{m^{2}}{2}$

$m = 0.71$