- 21-Jul-2022

Phase difference is measured in fractions of a wavelength, degrees or radians. In the diagram (above), the phase difference is ¼ λ. This translates to 90^{o} ( ¼ of 360^{o} ) or π/2 ( ¼ of 2π ).

Units | ||
---|---|---|

wavelength | metre | m |

velocity | metres per second | ms^{-}^{1} |

**Phase Angle Calculator**

- Formula. A = tan^-1(XL-XC/R)
- Inductive Reactance (Ohms)
- Capacitive Reactance (Ohms)
- Resistance (Ohms)

Equations of a stationary wave and a travelling wave are y1=1sin(kx)cos(ωt) and y2=asin(ωt−kx). The phase difference between two points x1=3kπ and x2=2k3π is **ϕ1 for the first wave and ϕ2 for the second wave**.

Calculating Phase Shift

The phase shift equation is **ps = 360 * td / p**, where ps is the phase shift in degrees, td is the time difference between waves and p is the wave period. Continuing the example, 360 * -0.001 / 0.01 gives a phase shift of -36 degrees.

Phase difference is measured in fractions of a wavelength, degrees or radians. In the diagram (above), the phase difference is ¼ λ. This translates to 90^{o} ( ¼ of 360^{o} ) or π/2 ( ¼ of 2π ).

Units | ||
---|---|---|

wavelength | metre | m |

velocity | metres per second | ms^{-}^{1} |

ω=2πT where T is the period of the oscillation. If you have two oscillations an oscillation A has a maximum displacement at time tA and oscillation B reaches a maximum displacement at a time tB then the phase angle ϕBA can be said to be **tB−tAT⋅2π** where T is the period of the motion.

In an electrical circuit R, L, C and an a.c.voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the currentin the circuit is **π/3**.

In an ac circuit, there is a phase angle between the source voltage and the current, which can be found by **dividing the resistance by the impedance**.

Oscillations and Waves

Solution: Express a displacement at t = 0 via initial phase: x(0) = A cos φ. The initial phase is **φ = arcos and further φ = arcos(– / 2)**. Two angles correspond to these phases φ_{1} = (5π/6) and φ_{2} = (7π/6). To find for a certain phase we have to use the condition (0)<0.

**To find the phase shift from a graph, you need to:**

- Determine whether it's a shifted sine or cosine.
- Look at the graph to the right of the vertical axis.
- Find the first:
- Calculate the distance from the vertical line to that point.
- If the function was a sine, subtract
^{π}/_{2}from that distance.

If the crests of two waves pass the same point or line at the same time, then they are in phase for that position; however, if the crest of one and the trough of the other pass at the same time, the phase angles differ by 180°, or π radians, and the waves are said to be out of phase (by 180° in this case).

The most preferred way to find out the value of the phase angle is using the formula, **tanϕ=χL−χCR⇒ϕ=tan−1(χL−χCR)**. We are given that V=V0sin(1000t+ϕ). Comparing this value of the alternating voltage against the general formula, V=V0sin(ωt+ϕ), we find that the value of the angular frequency(ω)is 1000.

What is the phase difference between the current in the capacitor and the current in the resistor in a series LCR circuit? **The voltage across the capacitor lags the current in the circuit by 900**. Hence, the phase difference between the voltage across the capacitor and the current in the circuit is 900.

The phase difference is the difference in the phase angle of the two waves.

Phase Difference And Path Difference Equation.

Formula | Unit | |
---|---|---|

The relation between phase difference and path difference | Δ x λ = Δ ϕ 2 π | No units |

Phase Difference | Δ ϕ = 2 π Δ x λ | Radian or degree |

Path Difference | Δ x = λ 2 π Δ ϕ | meter |

Multiply 360 (to represent the total number of degrees possible in an angle) by the frequency of your wave. Multiply the number that you receive after multiplying the first two variables by the time delay that was given above.

In electronics, **the number of electrical degrees of lag or lead between the voltage and current waveforms in an ac circuit** is also defined as phase angle.

Phase: The position of the moving particle of a waveform is called “Phase” and is measured in “Radians or degrees”. Phase difference: The time interval by which a wave leads by or lags by another wave is called “Phase difference” or “Phase angle”.

Phase voltage is **the voltage measured across a single component in a three-phase source or load**. Line current is the current through any one line between a three-phase source and load. Phase current is the current through any one component comprising a three-phase source or load.

The angle (ωt + ε) is called the phase angle at time t, which at zero time is **equal to ε**. Phase itself is a fractional value—the ratio of elapsed time t to the period T, or t/T—and is equal to the ratio of the phase angle to the angle of the complete cycle, 360°, or 2π radians.

The phase difference between the alternating current and emf is **π/2**.

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