$MathMaster logo$

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)

Math question: What is the quadratic equation formed by factoring (x-3)(2x+1) = 0?

+

Question: How can the distributive property be used to simplify the expression 3(4x - 5) - 2(2x + 7) + 3x?

+

What is the length of the hypotenuse if the adjacent side measures 10 units and the angle measures 45 degrees?

+

New questions in Mathematics

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

find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.

Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5

I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.

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

Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}

What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.

reduce the expression (7.5x 12)÷0.3

How to do 15 x 3304

When Sara was 15 years old, an uncle left her as inheritanceà a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can ò withdraw from the bank?

Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0

The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)

Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.

Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years

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.

g(x)=3(x+8). What is the value of g(12)

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.

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.