What are Phasors and voltages?

Phasors, which you describe with complex numbers, embody the amplitude and phase of a sinusoidal voltage or current. The phase is the angular shift of the sinusoid, which corresponds to a time shift t0. So if you have cos[ω(t – t0)], then ωt0 = ϕO, where ϕO is the angular phase shift.

What is a phasor and what does represent?

A phasor is a rotating vector representing a quantity, such as an alternating current or voltage, that varies sinusoidally. A phasor gives answers for both magnitude and phase which are necessary for alternating current circuit analysis.

What is the difference between a phasor and a vector?

A phasor is a rotating vector. Whereas a vector represents quantity and direction, a phasor represents quantity and displacement measured in a counterclockwise direction. Phasors are used in electrical engineering to represent certain AC quantities -e.g. the relationship between current and voltage.

What does the term Phasors in AC circuit analysis mean?

Answer: The term phasor means angle of travel of wave. The angle of travel of wave is calculated from each of wave in circuit. Each of wave in circuit is input supply, components connected in circuit, output, and earth.

What does AC impedance mean?

AC impedance is the gauge of opposition a circuit presents to current each time a voltage is applied. In a more quantitative sense, it is the ratio of voltage to current within alternating current. Impedance can be extended to the idea of AC circuit resistance and include both phase and magnitude.

What will be the phase angle between the voltage and the current in resistive AC circuit?

In case of pure resistive AC circuits, the phase angle between current and voltage is 00. Therefore φ = 00.

What is the phase relationship between VS and I?

Phase Relationship of a Sinusoidal Waveform Then the angle of rotation within a particular time period will always be the same and the phase difference between the two quantities of v and i will therefore be zero and Φ = 0. Then the two alternating quantities, v and i are said to be “in-phase”.

How a rotating phasor represents an alternating quantity?

Basically a rotating vector, simply called a “Phasor” is a scaled line whose length represents an AC quantity that has both magnitude (“peak amplitude”) and direction (“phase”) which is “frozen” at some point in time. In both cases the phase angle and direction remains the same.

What is the phase relationship between current and voltage in a purely inductive circuit?

The applied voltage must be equal and opposite to the self-induced EMF at all times; therefore, the current lags the applied voltage by 90° in a purely inductive circuit.

Which AC circuit contains the phase relation between voltage and current?

The phase relationship between current and voltage in an AC circuit containing only inductor is that voltage always leads the current flowing through the circuit by 90 degree or pi/2 radians. When a sinusoidal input is provided to the circuit, the current increases from zero to the maximum value.

What is the relationship between voltage and current phasor?

The current phasor lags the voltage phasor by the angle, Φ, as the two phasors rotate in an anticlockwise direction as stated earlier, therefore the angle, Φ is also measured in the same anticlockwise direction. If however, the waveforms are frozen at time, t = 30o, the corresponding phasor diagram would look like the one shown on the right.

Can a phasor have a fixed angle in an AC circuit?

The only way a phasor possessing a fixed angle makes any sense in the context of an AC circuit is if that phasor’s angle represents a relative shift compared to some other phasor at the same frequency. Here, we see Euler’s Relation written in fixed-angle and rotating-angle forms:

What are the characteristics of alternating-voltage generator?

15-2: Alternating-Voltage Generator Characteristics of Alternating Current Alternating voltageand alternating currentvary continuously in magnitude and reverse in polarity. One cycleincludes the variations between two successive points having the same value and varying in the same direction. Frequency is measured in hertz(Hz).

What happens if only the vertical component of a phasor is drawn?

If the only vertical component of a phasor is drawn against angle or time, you will get a sinewave and for the horizontal component, you will get a cosine wave. Phasor contains information about the magnitude, phase angle, and angular frequency.