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WorksheetsQuiz#1: Circuit Analysis II - Complex Numbers
Total questions: 25
Worksheet time: 25mins
i = -1
True
False
(1+i4) − (−16+i9)
(a)
(7 − i) / (2+ i10)
(a)
In 7 + j6 which part refers to reactive component
(a)
In 7+j6 which part refers to active component
(a)
A complex number that is represented by a point in a space on the complex plane.
Rectangular
Polar
Exponential
The sum of a complex number and its complex conjugate will always be an imaginary number.
True
False
(3 + i5) + (4 − i3)
(a)
Convert:
56 ∠ 27∘ to rectangular form
(a)
Convert:
12−j42 to polar form
(a)
The difference of a complex number and its complex conjugate will always be a reactive component.
True
False
A complex number is represented by a line and corresponding angle that uses the base of the natural logarithm.
Polar
Rectangular
Exponential
When doing addition and subtraction of complex number it is advisable to perform in polar form.
True
False
4 ∠ 240∘ to rectangular form
(a)
10 ∠ -60∘ / 5 ∠ 150∘. Then convert to rectangular form
(a)
10 ∠ -60∘ / 5 ∠ 150∘
(a)
(2 ∠ 45∘) (3 ∠ 135∘)
(a)
To represent complex numbers x + jy geometrically, we use the (a) system analogous to Cartesian coordinate system.
Horizontal axis represents the ___________ and the vertical axis represents the _____________ of the complex number.
real ; real
imaginary; real
reactive; active
active; reactive
Convert to polar:
−4+i4
(a)
Find the rectangular form of the complex number given r=13 and tanθ= 5/12
(a)
I am full of holes; I can hold water. What I am?
(a)
How many months have 28 days?
(a)
(a) of a complex number is found by reversing the algebraic sign of the complex numbers imaginary number only while keeping the algebraic sign of the real number the same.
_______________________ uses the trigonometric functions of both the sine ( sin ) and the cosine ( cos ) values of a right angled triangle to define the complex exponential as a rotating point in the complex plane.
Polar
Exponential
Rectangular
