Purchase Solution

Addition of sinusoidal waves

Not what you're looking for?

Ask Custom Question

Please see the 2 problems attached

Q4.Two alternating currents i1 and i2 flow in a circuit node. The output current i is given by i1 + i2.

If i1 = 5sin( 50t + /3 ) and i2 = 6cos50t

Calculate the amplitude of i and the first time that it occurs.

Q5. The instantaneous power p, in an electric circuit, is given by p = iv, where v is voltage and i is current.
Calculate the maximum value of power in the circuit if:

v = 0.02 sin(100t)volts, and i = 0.6 sin(100t + /4)amps

Also calculate the first time that the power reaches a maximum value.

Attachments
Purchase this Solution
Solution Summary

When two sinusoidal waves with the same frequency are added the resultant signal is a sinusoidal wave as well.
The solution shows how to derive the expression for the resultant signal and how to use it to find what is the signal's new amplitude and when it achieves maxima.
then we see how to multiply two signals to calculate the power using Euler's identity.

Solution Preview

Hello and thank you for posting your question to Brainmass!
The solution ...

Purchase this Solution
Free BrainMass Quizzes
Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

View More Free Quizzes
Related BrainMass Solutions

  • Electromagnetic Waves:Wavelength, intensit, Amplitude, field

    Sinusoidal electromagnetic waves and field strengths are determined.

  • superposition of waves of different frequencies

    Such a medium is called a dispersive medium because waves that are not sinusoidal will change shape or disperse over time.

  • Waves and oscillations

    301597 Waves and oscillations A sound source sends a sinusoidal sound wave of angular frequency 3000 rad / s and amplitude 12.0 nm through a tube of air. The internal radius of the tube is 2.00 cm.

  • Interference of Sound Waves

    176589 Interference of Sound Waves: Destructive or Constructive Two loudspeakers, A and B are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A.

  • Group velocity of localized waves

    528077 Group velocity of localized waves Section 2-2 discusses the superposition of two classical sinusoidal waves of slightly different wave numbers k and k+[delta]k to yield a modulated result whose modulations move with a group velocity.

  • Physics of an Electric Guitar

    Since you are looking at a system of nodes and antinodes, it is most likely (and you know for sure since you are plucking a string creating standing waves) that you will have a sinusoidal graph.

  • Sinusoidal Sound Waves of Angular Frequency

    The expert examines sinusoidal sound waves of angular frequency.

  • Sound - Resonant Frequency and the Missing Fundamental

    In general, harmonics occur when the signal is not fully sinusoidal. They are the non vanishing terms of the Fourier series that represents the signal. This solution is provided in 211 words and provided in both .doc and .pdf format.

  • Gravitational waves: Computing full metric

    592903 Gravitational waves: Computing full metric Write down the full metric (flat metric plus the perturbation) which represents a sinusoidal wave of frequency 200Hz traveling in the z direction with the cross polarization.

View More Related Solutions