The term phase angle is used to describe the time relationship between a-c voltages and currents,
as well as to specify a position or point in time of one a-c voltage or current.
For example, if two a-c voltages are of opposite polarity at every instant of time, they are 180 degrees out of phase, or the phase angle between them is 180 degrees.
Similarly, if a current reaches it’s maximum amplitude after one-quarter of its cycle, or 90 degrees,
maximum amplitude is said to occur at a phase angle of 90 degrees.
There are very definite phase relationships between the applied voltage and the circuit current in purely
resistive, purely inductive, and purely capacitive circuits.
These relationships can be summarized as follows:
- In a purely resistive circuit, the voltage and current are in phase.
- In a purely inductive circuit, the applied voltage leads the current 90 degrees.
- In a purely capacitive circuit, the current leads the applied voltage by 90 degrees.
Often these expressions are expressed by using vectors.
Quantities that have only magnitude are called scalars.
Those that have magnitude and direction are called vectors.
For example, if someone needed to go from Sacramento to San Francisco and you told them to drive 90 miles, your directions would need more information.
But if you said to drive 90 miles west, your directions would be complete.
The instruction of “90 miles west” has a magnitude of 90 and a direction of north.
It becomes a vector because it contains a magnitude and a direction.
We can graphically represent a vector by a straight line with an arrowhead at one end.
The length of the line is proportional to the magnitude of the vector quantity, and the arrowhead shows the direction.
Vector Quantities Can Be Added and Subtracted.
The fact that vectors have direction and magnitude, makes it necessary to add and subtract them using a combination of geometry and addition and subtraction.
Adding vectors that have the same direction
Adding vectors that have opposite directions
Adding vectors that are 90 degrees apart
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