Phase angle Definition and 83 Threads

  1. A

    Calculating Phase Angle and Amplitude for a Sinusoidal Wave on a String

    Homework Statement At time t = 0 and at position x = 0 m along a string, a rightward (+x dir) traveling sinusoidal wave with frequency of 230 Hz has displacement y = +4.8 mm and transverse velocity vy = -0.75 m/s. What is the smallest positive phase angle? What is the amplitude of the...
  2. J

    Simple Harmonic Motion Phase angle

    Homework Statement What is the initial phase angle of this graph that describes a simple harmonic motion? Homework Equations The Attempt at a Solution I don't have any clue about how to find it by watching the graph, I know only an equation to find it. Any help please.
  3. S

    How extract phase angle from reflectance using Kramers-Kronig

    I try to extract optical constants (complex refractive index) from the spetral reflectance data - R(omiga), the common method is using Kramers-Kronig relations to calculate the Phase information of the reflection - Psi(omiga), then according to the normal reflection coefficients, the complex...
  4. S

    Calculating Phase Angle & Voltage in Series RL Circuit

    An inductor “L” is connected in series with a Resistor “R”. This circuit is connected to a sinusoidal voltage “V”, and a current of 1A flows. If the circuit resistor has a value of 1W, and the magnitude of the reactance of the inductor “L” is 1W at the supply frequency, state: (i) The...
  5. C

    Phase Angle guidance between the current and supply voltage

    Homework Statement Hi, I am slightly confused by which variation of phase angle formula to use relating between the current and voltage. Would this still be (tan-1 XL-XC/R) for a RLC parallel circuit? Voltage = 90V ac Xc/Z1 = (9 - j4) XL/Z2 = (12 + j15) Current = 11.27 Amps Total...
  6. C

    Obtain the voltage of the generator and the phase angle

    Homework Statement An ac generator has a frequency of 4.80 kHz and produces a current of 0.0400 A in a series circuit that contains only a 231-Ω resistor and a 0.250-µF capacitor. Obtain the voltage of the generator and the phase angle between the current and the voltage across the...
  7. A

    Phase angle error in current transformer

    Homework Statement hi in current transformer the primary current lags the secondary current by an angle..to determine the %ratio error we need to measure the ratio of primary and secondary current...so we use a RC circuit to lead the primary current so that it could be in same phase as...
  8. K

    RMS voltage, phase angle, AC circuits

    Homework Statement An AC power supply with a peak volatge output of 200 volts, operating at 60 Hz, is connected to a 53 microFurad capacitor A) what is the difference in phase angle between the applied voltage and the current B) what is the rms current in the circuit C) what is...
  9. L

    What is the phase angle for a given complex voltage and current?

    Homework Statement If a complex voltage and current are related by the expression v(t) = ( - 1 + j (3)^(1/2) ) i(t) What is the phase angle? Note j = sqrt(-1) Homework Equations The Attempt at a Solution So is the phase angle simply tan inverse (sqrt (3) / -1 )?? Or do I...
  10. B

    How Does Phase Angle Affect Current in an Undriven RLC Circuit?

    Homework Statement I am given a RLC circuit in series with a fully charged C. There is no applied voltage at this part of the problem. Using kirchhoff I arrive at a second order diff.eq which leads me to the (correct) solution for the charge in the capacitor: q(t) = Q0exp(-t/T)cos(wt + Ø)...
  11. M

    Phase Angle for Simple Harmonic Motion

    Phase Angle / Phase Question - Simple Harmonic Motion Homework Statement If I were given a function of displacement for simple harmonic motion in the form of: x = Acos(\omegat + \phi) Would the phase angle, \phi, always be the same? Say if I derived the equations into forms for...
  12. P

    Understanding Phase Shift in RC Circuits

    Homework Statement Pls see the attachment. Homework Equations The Attempt at a Solution Obviously I have B and C correct but for a the only thing I can find is tan(phi)=XL-Xc/R This seems to be for a series RLC circuit though and I only have RC. also I know that the current lags...
  13. James889

    Engineering Solving Circuits with James: Finding I, Power, & Phase Angle

    Hi, I have the following circuit [PLAIN]http://img707.imageshack.us/img707/3024/upgp580.png And i need to find the phasor current I, the power, reactive power and apparent power delivered by the source and state whether it's lagging or leading. But I am kind of stuck at the first step. First...
  14. M

    Calculating Phase Angle in an AC Circuit: Practical vs. Theoretical Approaches

    Hi , there is a circuit with AC voltage with a resistor followed by a capacitor in series, and at frequency 1760 Hz I need to know phase angle, the peak to peak separations for the voltage source to the voltage across the capacitor is 15 ms...how do I find the phase angle? I already found it...
  15. S

    What Is the Phase Angle in a Low Resistance L-C Series Circuit?

    Phase angle?? L-C series Homework Statement In an L-C series circuit with very small resistance, the voltage drops across inductor and capacitor are 100V and 120V,. What's the phase angle? Homework Equations tantheta= Xl -Xc)/ R The Attempt at a Solution According to book's...
  16. M

    Finding the phase angle of a pendulum swinging.

    Homework Statement The question reads: Two identical pendulums have the same amplitude and the same length (20cm) At time t = 0, one pendulum reaches the end of its swing at x = +6 cm. At the same time the second pendulum has velocity v = -27 cm/s and sits on opposite ends of the...
  17. E

    Maginutude and Phase Angle for Nyquist Plots

    Magnitude and Phase Angle for Nyquist Plots Homework Statement The assignment is to draw a Nyquist Plot of a certain transfer function. The problem is that I can't figure out how they got the angle for the plot. G(s) = \frac{k(s+2)}{(s+1)(s-3)} Homework Equations...
  18. C

    Three light waves combine at a point find resultant amplitude and phase angle

    Homework Statement Three light waves combine at a point where their electric field components are E1 = Eo sin \omegat E2 = Eo sin (\omegat - 2\pi/3) E3 = Eo sin (\omegat + \pi/3) Find the resultant amplitude of the electric field ER at that point and it's phase angle\beta Write...
  19. A

    Transmission Line - Solve for frequency subject to phase angle

    Homework Statement A transmission line has the following properties: L_{0} = 1 mHm^{-1} C_{0} = 10 \mu F m^{-1} R_{0} = 10 \Omega m^{-1} G_{0} = 0 \Omega^{-1} m^{-1} That is, inductance per meter, capacitance per metre etc. The line is 10m long. The problem is to find the...
  20. S

    Finding amplitude and phase angle from a graph?

    I have a question asking for the period, frequency, amplitude and phase angle from simply looking at a graph. I have the period and frequency, and 'think' i have the amplitude (high point - low point / 2), but I don't know how to get the phase angle. No equation is given so I can't simply...
  21. Cyrus

    Why is the phase angle not just -90 degrees?

    Can someone show me how they got this: \frac{\omega_n^2}{-\omega^2+j2 \zeta \omega_n \omega} Has this phase: -90-tan^{-1} \frac{ \omega}{2 \zeta \omega_n} Why isn't it simply: 0 -tan^{-1} \frac{- 2 \zeta \omega_n}{ \omega}
  22. E

    Propagating wave find initial phase angle?

    Propagating wave find initial phase angle?? A wave is propagating down a string having a diameter of 0.0013 m and a density of 5240 kg/m3. The wave has the form y = A sin(k x - w t + beta) where A = 0.011 m, w = 59.8 rad/s, and k = 72.4 rad/m. the velocity of propagation of the wave is...
  23. E

    What Is the Initial Phase Angle Beta in Wave Propagation?

    A wave is propagating down a string having a diameter of 0.0013 m and a density of 5240 kg/m3. The wave has the form y = A sin(k x - w t + beta) where A = 0.011 m, w = 59.8 rad/s, and k = 72.4 rad/m. the velocity of propagation of the wave is 0.825967 m/s The transverse speed @ y/@t is...
  24. A

    At resonance, the phase angle in an AC circuit is?

    At resonnance, the phase angle in an a.c circuit is ?pls need an answer. 2. the magnetic force on a charged particle moving with velocity v is ? 3. The current through a resistor in a.c circuit is given as 2 sin wt. Determine the d.c equivalent of the current? 4. What is the angle of dip at...
  25. U

    Solving for Simple Harmonic Motion Phase Angle

    Homework Statement A block, attached to a spring, moves in Simple Harmonic Motion on a horizontal frictionless table. The displacement from equilibrium is given by x = xm cos (ω t + φ ) where x is positive to the right of the equilibrium position. The frequency of the motion is 3.10 Hz and...
  26. P

    What Is the Phase Angle of a Wave Traveling on a String?

    A transverse, sinusoidal wave is traveling along a string. It moves in the negative x-direction, and it has an amplitude of 5 cm. At time t=0, the point at x=0 is at a displacement of 4 cm and is traveling upward. What is the phase angle in degrees? Homework Equations x = A*cos(\omega*t+\phi)The...
  27. K

    Derivation of Phase Angle Addition Formula

    For two phasors a and b, with magnitudes of A,B respectively and phase angles of \phi_{a) and \phi_{b}, the angle of the sum of the phasors (call it p) has a magnitude of: P^{2} = A^{2} + B^{2} , and a phase angle of: \phi_{p} = -tan^{-1}(\frac{B}{A}) The magnitude identity makes...
  28. R

    Current Phase Angle: Setting to 0 Degrees?

    Homework Statement We are working with phasors and R-L-C circuits. Here is some given data: Vsource = 120 Volts, 60 Hz Resistor = 100\Omega Capacitor = 50\muF Inductor = 0.2 H Inductor Resistance = 10\Omega My question is this, when solving for current using V = IZ, can you set...
  29. S

    How Does the Phase Angle in SHM Equations Affect Displacement and Energy?

    question 1) If a simple harmonic oscillation is described by the function x = A sin (wt + phi) would phi be the opposite of what it would be for a SHM described by the function x = A cos (wt + phi) I.e if the graph for for x = A sin (wt + phi) , when t = 0, x = +A. would phi be equal to pi...
  30. T

    Phase Angle Questions: Can Imaging of Speakers Change?

    Well this isn't a h/w problem, rather its one I have myself. I have two speakers, speaker one sits in its enclouser horizontal. Speaker 2 sits 58 Degrees out of phase with speaker one. ( See Drawing #1). If I could somehow change the phase angle, would that change the imaging of the speaker...
  31. L

    Finding the Phase Angle & Understanding Bandstop Filters

    Hi Does anyone know the equation for the phase angle by which v0 leads v1 in a bandstop (parallel resonant) circuit? also, can anyone tell me how (in terms of the equation for the transfer function) a bandstop filter works? Thanks a lot, any help appreciated. :redface:
  32. E

    Finding the phase angle in simple harmonic motion

    Question: A frictionless block of mass 2.35 kg is attached to an ideal spring with force constant 310 N/m. At t=0 the spring is neither stretched nor compressed and the block is moving in the negative direction at a speed of 12.6 m/s. 1. Find the amplitude. I got this without a problem...
  33. S

    Solving for R & XL Given Z & Phase Angle

    Here's a tricky one... A resistor is in series with an inductor, with the current (I) lagging behind the voltage (V) by 60degrees. I am given the impedance (Z) of the circuit, which is 350ohms. How the heck can I find the resistance (R) and the inductive reactance (XL) when I know only the...
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