Voltage Vector/Scalar Components, SI Units, Direction and Polarity.

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SUMMARY

Voltage is classified as a scalar quantity, represented in SI derived units as Joules per Coulomb (J/C), indicating energy per unit charge without a directional component. While voltage can exhibit polarity, this does not equate to direction in the context of physics. In alternating current applications, voltage can be modeled as a scalar function of time, expressed as a phasor in the equation v(t) = V(peak) sin(ωt + θ), which simplifies analysis but does not convert it into a vector. The relationship between voltage and acceleration, which is a vector, does not alter the scalar nature of voltage.

PREREQUISITES
  • Understanding of scalar and vector quantities in physics
  • Familiarity with SI derived units and their applications
  • Knowledge of alternating current (AC) theory and phasors
  • Basic grasp of mathematical functions and their representations
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  • Study the differences between scalar and vector quantities in physics
  • Explore SI derived units and their significance in electrical engineering
  • Learn about phasors and their application in AC circuit analysis
  • Investigate the mathematical modeling of electrical quantities over time
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Electrical engineers, physics students, and professionals involved in circuit analysis and electrical modeling will benefit from this discussion.

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All, please help me refine, restate, explain, understand, expand, add, remove, answer the below statements/ questions. Thanks in advance.

1.) Voltage is considered a scalar quantity. (J/C in SI Derived Units) which is a magnitude of energy per coulomb...no direction with this example. Some may say it has polarity, but is this polarity considered a direction in physics? If not what is the difference?

2.) Voltage can also be represented as a scalar function of time as with alternating current applications, where it appears as a phasor but is not really a vector. v(t) = V(peak) sin ( ωt + θ). It is just a method for simplifying and modeling the function by describing the quantity with a phase angle and peak magnitude which behaves like a vector on a real and imaginary coordinate plane.

3.) Voltage = [(kg) x (m/s^2) x (m) x (1/A)] in SI base units. Acceleration is clearly a vector quantity component of Voltage. Why then does it not make Voltage a vector quantity too?
 
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