The term “phase angle” is used to describe the ___________ ___________ between a-c voltages and currents, as well as to specify a position or point in time of one a-c voltage or current.

Time relationship

In a purely _________ circuit, the voltage and current are in phase.

Resistive

In a purely ____________ circuit, the applied voltage leads the current by 90 degrees.

Inductive

In a purely _______________ circuit, the current leads the applied voltage by 90 degrees.

Capacitive

Every physical quantity has?

Magnitude

What do you call a quantity that only has a magnitude?

Scalar

What do you call a quantity that has magnitude and direction?

A vector

The _________ of the __________ is proportional to the magnitude of the vector quantity, and the ___________ indicates the direction.

Length of the line

When looking at a vector, what axis serves as the reference line?

Horizontal axis

In our line of work, we will only be interested in the ___________ and _________ of vectors. (Think math)

Addition and subtraction

When vectors are added or subtracted, the result is also a vector, and is called the _________ __________.

Resultant vector or just resultant

What combination of math is used to add and subtract vectors?

Geometry and algebraic addition and subtraction

To add vector quantities that have the same direction you?

Add the individual magnitudes.

To add vector quantities that have different directions you?

Subtract the smaller vector from the larger vector.

When vectors are not going in the same direction or in opposite directions, they can be added graphically and the resultant can be found using the __________ ____________ method.

Parallelogram method

What’s the first thing you do when adding vectors using the parallelogram method?

Place the vectors “tail to tail.”

The ___________ line is the resultant of the vectors after they have been placed tail to tail.

Diagonal (hypotenuse)

Another method for adding vectors is the triangle method and involves laying the vectors __________ to _________.

Head to tail.

The resultant of the triangle method is the line that starts at ____ ___________ of the first vector and ends at ____ ______ of the second vector.

The tail The head

Vectors that are not in same direction or in opposite directions are __ degrees apart.

90

The magnitude of the resultant of vectors, that are 90 degrees apart, can be determined by using what equation?

Pythagorean theorem

The sum of the angles in a right triangle equals?

180 degrees

What is opposite of the right angle of a triangle?

The hypotenuse

What 3 trigonometric relationships can be used to find the angles of a triangle?

1- sine 2- co-sign 3- tangent

When subtracting one vector from another, add the ___________ equivalent by rotating the vector 180 degrees.

Negative

When rotating a vector 180 degrees to get its negative equivalent, what effect does this have on its magnitude?

None.

Can a vector be separated? If so, what are their parts called?

Yes, and their parts are called the horizontal component and the vertical component.

When adding vectors by there components, what must be determined before drawing the resultant vector?

The direction

A-c vectors are called?

Rotating vectors

A vector is _____________ until compared with the direction of another voltage or current vector.

Meaningless