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WorksheetsAC Circuits 1
Total questions: 20
Worksheet time: 44mins
Name
Class
Date
1.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
2.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
3.
√(-300)
a)
10i√3
b)
15√15
c)
-10√3
d)
2i√13
4.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
5.
What is the complex conjugate of 4-3i?
a)
A. 1/(4-3i)
b)
B. 1/(4+3i)
c)
C. -4 + 3i
d)
D. 4 + 3i
6.
a)
-5 / 2i
b)
-5i / 2
c)
5 / 2i
d)
5i / 2
7.
a)
(9 + 15i) / 17
b)
(9 - 15i) / -8
c)
(9 - 15i) / (-8 - 15i)
d)
(9i + 15) / 17
8.
a)
(16 + 9i) / 13
b)
(16 + 9i) / 5
c)
(20 + 9i) / 13
d)
(20 + 9i) / 5
9.
a)
A
b)
B
c)
C
d)
D
10.
(-3i)(i)(5i)
a)
15i
b)
-15i
c)
-15i3
d)
15i3
11.
Evaluate (9 + 3i) (9 - 3i).
a)
81 -9i
b)
90
c)
81 + 27i -9i2
d)
81i - 9
12.
Write an equation for the cosine signal with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.
a)
y = 5cos(t - pi) + 3
b)
y = 3cos(t - pi) + 5
c)
y = 3cos(2t - pi) + 5
d)
y = 5cos(2t - pi) + 3
13.
What is the period of
y= -3sin(t)
y= -3sin(t)
a)
π
b)
2π
c)
3π
d)
4π
14.
What is the period of y=4cos(5t)
a)
2π/5
b)
π
c)
5
d)
5π
15.
What is the amplitude of y = 3 cos 2t?
a)
3
b)
2
c)
90
90⁰
90⁰
d)
350⁰
16.
3π ∕ 2 is equivalent to which degree
a)
90 degree
b)
180 degree
c)
270 degree
d)
360 degree
17.
Which value represents a horizontal phase shift in the following function y=a*sin(bt-c)+d?
a)
a
b)
b
c)
c
d)
d
18.
What is the vertical shift for y = 4cos(1/2t +π) - 2?
a)
up 2
b)
left 2
c)
right 2
d)
down 2
19.
Which equation?
a)
y= -cos(2t)
b)
y= cos(2t)
c)
y= (1/2)cos(t)
d)
y= (-1/2)cos(x)
20.
Which equation?
a)
y= sin(1/3t)
b)
y= (1/3)sin(t)
c)
y= 3sin(t)
d)
y= sin(3t)
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