Voltage by Rotating Vectors: Voltage by rotating vectors, also known as phasor analysis, is a technique used to analyze AC circuits that involve sinusoidal voltages and currents. The technique involves representing AC voltages and currents as rotating phasors, which are vectors that rotate at the frequency of the AC waveform. In phasor analysis, the magnitude and phase angle of the AC voltage or current is represented by the length and angle of the phasor, respectively. The phasors are often drawn on a complex plane, with the real and imaginary axes representing the voltage and current components, respectively. By using complex numbers, phasor analysis allows for the use of complex arithmetic to solve circuit equations.

Voltage by Rotating Vectors

To determine the voltage across a circuit element in an AC circuit using phasor analysis, the following steps are typically followed:

• Determine the magnitude and phase angle of the AC voltage source.
• Represent the AC voltage source as a rotating phasor, with the initial phasor angle set to zero degrees.
• Determine the impedance of the circuit element, which is the ratio of the phasor voltage to the phasor current.
• Represent the circuit element as a phasor with a magnitude equal to the impedance and an angle that is the same as the phase angle of the impedance.
• The phasor voltage across the circuit element is equal to the product of the phasor current and the impedance phasor.
• The voltage across the circuit element is the real part of the phasor voltage.

Phasor analysis is a powerful tool for analyzing AC circuits, as it simplifies the calculation of voltage and current magnitudes and phases, and it allows for the use of complex arithmetic to solve circuit equations. It is widely used in power system analysis, electric machines, and control systems, among other applications.

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By Team Learning Mantras