Exam 25: Complex Numbers for Ac Circuits

In their more general form, numbers have both quantity and phase angle.

The operator for a number can be any angle between

An angle of 0° or a real number without any j operator is used for inductive reactance.

Complex numbers are useful in ac circuits when the reactance makes it necessary to consider the ______________ angle.

The combination of a real and an imaginary term is called a complex number.

The j is usually written before a number because the j sign is a 90° operator.

The reciprocal of reactance is ______________.

It is a lot less work to multiply and divide complex numbers that are in ______________ form.

If the j term and the real term are equal, the angle is

To represent a negative number the angle of rotation or operator is 180°.

If the j term and the real term are equal, the angle is 45°.

In electrical terms the complex impedance (4 + j3) means

In mathematics, numbers on the j axis are called

The angle of rotation is the ______________ for the number.

An angle of 90° or +j is used for ______________ reactance.

In polar coordinates, the phase angle θ is ______________ from the 0° axis.

Magnitude-phase angle form is also called

An angle of -90° or -j is used for X_C.

The reciprocal of impedance is ______________.

A resultant phasor extends from the tail of the first phasor to the arrowhead of the second.