MathMaster logo

MathMaster

  1. Home
  2. general
  3. 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
Sigrid
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)
Calculate the length of the adjacent side given the angle of 60 degrees and the hypotenuse of 5 units.
+
A rectangular field measuring 50m x 30m is divided into 3 equal parts. If a herd of 15 cows grazes, each consuming 2 square meters of grass per hour, what's the total grass area consumed after 6 hours?
+
Math question: What is the value of arcsin(1/2) in radians?
+
New questions in Mathematics
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
String x = 5 Int y=2 System.out.println(x+y)
The profit G of the company CHUNCHES SA is given by G(x) = 3Γ—(40 – Γ—), where Γ— is the quantity of items sold. Find the maximum profit.
Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that
A brass cube with an edge of 3 cm at 40 Β°C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?
The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?
the probabilty that a person has a motorcycle, given that she owns a car 25%. the percentage of people owing a motorcycle is 15% and that who own a car is 35%. find probabilty that a person owns any one or both of those
2/3+5/6Γ—1/2
(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.
The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in Β£s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i
2X+2=8
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
X^X =49 X=?
8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.
9n + 7(-8 + 4k) use k=2 and n=3
6(k-7) -2=5
Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ΒΏ by: T (t )=(20 t +10)eβˆ’0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(βˆ’10 t +15)eβˆ’0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10βˆ’2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ΒΏ by: T (t )=(20 t +10)eβˆ’0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(βˆ’10 t +15)eβˆ’0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10βˆ’2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.

You might be interested in