$MathMaster logo$

MathMaster

Home
general
the total power contained in an am signal is 1000w determine the power transmitted on the carrier frequency and on each of

Question

The total power contained in an AM signal is 1000W. Determine the power transmitted on the carrier frequency and on each of the side panels when the percentage modulation is 100%.

267

likes

1334 views

Answer to a math question The total power contained in an AM signal is 1000W. Determine the power transmitted on the carrier frequency and on each of the side panels when the percentage modulation is 100%.

$Expert avatar$

4.5

120 Answers

Given that the total power contained in the AM signal is 1000W and the percentage modulation is 100%.
Let

P_c

be the power transmitted on the carrier frequency and

P_s

be the power transmitted on each of the sidebands.

The total power in an AM signal can be expressed as:

P_{\text{total}} = P_c + P_s + P_s

Since the percentage modulation is 100%, the maximum amplitude of the modulated signal is twice the carrier amplitude. Therefore, the power transmitted on each sideband is half the total power in the modulated signal.
Thus, the total power can be expressed as:

1000 = P_c + \frac{1}{2}P_{\text{total}} + \frac{1}{2}P_{\text{total}}

1000 = P_c + 2\left(\frac{1}{2}P_{\text{total}}\right)

Solving for

P_c

:

1000 = P_c + P_{\text{total}}

P_c = 1000 - 500 = 500W

Solving for

P_s

:

P_s = \frac{1}{2}P_{\text{total}} = \frac{1}{2}(1000) = 500W

Therefore, the power transmitted on the carrier frequency is

500W

and the power transmitted on each of the sidebands is

500W

.

\boxed{P_c = 500W, \, P_s = 500W}

Frequently asked questions (FAQs)

What is the angle opposite the side adjacent to it when the hypotenuse and adjacent side lengths are 5 and 4, respectively?

+

What is the result of (2^3)^5?

+

What is the absolute value of (-4+3i)

+

New questions in Mathematics

How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?

Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0

If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.

Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) <2u- 5v,3w>

8x²-30x-10x²+70x=-30x+10x²-20x²

Eight acts are scheduled to perform in a variety show how many different ways are there to schedule their appearances show your work

5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?

A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

what is the annual rate on $525 at 0.046% per day for 3 months?

Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13

By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.

I need to know what 20% or £3292.75

The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

I. Order to add 40.25+1.31+.45 what is the first action to do ?

1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?

To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;

the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length