Exam 25: Complex Numbers for Ac Circuits

If series impedances are in polar form, they must be converted to ______________ form to be added.

Generally, only dc circuits can be analyzed with complex numbers.

In mathematics, numbers on the horizontal axis are

The number 3 + j4 is what form of complex numbers?

An angle of ?90° is used for

In mathematics, numbers on the horizontal axis are real numbers and numbers on the j axis are called imaginary numbers.

In general, the reciprocal of an angle in polar form is the same angle with ______________ sign.

The number j3 is the same as j³.

The general form of stating impedance is Z = R ± jX.

Complex numbers refer to a numerical system that includes the phase angle of a quantity with its magnitude.

A numerical system that includes the phase angle of a quantity with its magnitude is

Complex numbers are useful in ac circuits when the reactance of X_L or X_C makes it necessary to consider the phase angle.

When complex numbers in polar form are to be added or subtracted, they must be

The operator for -1 is

When dividing a real number by an imaginary number, the converting of the denominator to a real number is called

An angle of 0° is used for

What is the reciprocal of reactance?

______________ numbers refer to a numerical system that includes the phase angle of a quantity with its magnitude.

The operator for a number can be any angle between 180° and 270°.

When multiplying or dividing complex numbers, it is a lot less work when these numbers are in the