Practice Test (See related pages) 1 Complex numbers refer to a numerical system but one that does not include the phase angle of a quantity with its magnitude. A) True B) False 2 Any type of ac circuit can be analyzed with complex numbers. A) True B) False 3 In their more general form, numbers have only quantity but no phase angle. A) True B) False 4 To represent a negative number the angle of rotation or operator is 90°. A) True B) False 5 The operator for a number can be any angle between 0° and 360°. A) True B) False 6 The number j3 is not the same as j3. A) True B) False 7 If the j term and the real term are equal, the angle is 90°. A) True B) False 8 An angle of 0° or a real number without any j operator is used for resistance. A) True B) False 9 An angle of 90° or +j is used for XC. A) True B) False 10 When multiplying or dividing complex numbers, it is a lot less work when these numbers are in the form. 11 A numerical system that includes the phase angle of a quantity with its magnitude is numbers. 12 In mathematics, numbers on the j axis are called numbers. 13 In coordinates, the phase angle θ is counterclockwise from the 0° axis. 14 The reciprocal of is admittance. 15 The reciprocal of is susceptance. 16 Complex numbers are useful in ac circuits when the makes it necessary to consider the phase angle. 17 An angle of degrees or +j is used for inductive reactance. 18 When dividing a real number by an imaginary number, the converting of the denominator to a real number is called A) equalization B) rationalization C) neutralization D) ratio and proportion 19 In electrical terms the complex impedance (4 + j3) means A) 4 Ω of R and 3 Ω of XL with a leading phase angle of 90° B) 4 Ω of R and 3 Ω of XC with a leading phase angle of 90° C) 4 Ω of XL and 3 Ω of R with a lagging phase angle of 90° D) 4 Ω of XC and 3 Ω of R with a lagging phase angle of 90° 20 In polar coordinates, the distance from the center is the A) phase angle of the phasor B) magnitude of the phasor C) resistive part of the phasor D) reactive part of the phasor 21 In general, the reciprocal of an angle in polar form is A) a different angle with same sign B) a different angle with opposite sign C) the same angle with same sign D) the same angle with opposite sign 22 What is the reciprocal of reactance? A) admittance B) susceptance C) reluctance D) acceptance 23 The operator for −1 is A) 45° B) 90° C) 180° D) 360° 24 The combination of a real and imaginary term is called a A) negative number B) binary number C) complex number D) integer number 25 If the j term and the real term are equal, the angle is A) 45° B) 90° C) 180° D) 360°
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