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Mathematics
Study Set
Practical Problems in Mathematics for Electricians
Quiz 5: Powers and Roots
Path 4
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Question 1
Short Answer
E
i
=
E
max
sin
θ
E _ { i } = E _ { \max } \sin \theta
E
i
=
E
m
a
x
sin
θ
How many volts are required if the power is 25 watts and the resistance is 64 ohms?
Question 2
Short Answer
The square of the diameter equals the cross-sectional area. Find the cross-sectional area in the circular mils of a wire that is 104 mils in diameter.
Question 3
Short Answer
E
i
=
E
max
sin
θ
E _ { i } = E _ { \max } \sin \theta
E
i
=
E
m
a
x
sin
θ
When the resistance is 73.3 ohms and the power is 165 watts, what is the value of the current in amperes? Carry answer to two decimal places.
Question 4
Short Answer
An electrical cable has a cross-sectional area (CM) of 1,000,000 circular mils and contains 19 strands. Find the diameter (d) of each strand using
E
a
E _ { a }
E
a
. Carry the answer to two decimal places.
Question 5
Multiple Choice
When using a Texas Instruments TI 36X calculator, to activate the scientific notation mode press the following keys:
Question 6
Short Answer
If a 250,000 circular mil cable is composed of 37 strands, what is the approximate diameter of each strand? Carry the answer to two decimal places.
Question 7
Multiple Choice
If [30][X
2
][=] is entered in a calculator the display will show:
Question 8
Short Answer
The square of the diameter equals the cross-sectional area. A cable is checked for a power job and is found to be too small. The cable contains 62 strands of copper wire that each have a diameter of 37.2 mils. What is the size of the cable in circular mils? Carry the answer to two decimal places.
Question 9
Multiple Choice
Using the reciprocal key on a calculator, the reciprocal of 4 is:
Question 10
True/False
If a calculator does not contain an n
th
root key, the n
th
power key can be used by raising the number to the reciprocal of the power.
Question 11
Short Answer
If a 5,000,000 circular mil cable is composed of 37 strands of copper wire of equal size. What is the approximate diameter of one strand? Carry the answer to two decimal places.
Question 12
Short Answer
E
i
=
E
max
sin
θ
E _ { i } = E _ { \max } \sin \theta
E
i
=
E
m
a
x
sin
θ
When the power is 220 watts and the resistance is 100 ohms, what voltage is in the circuit? Carry the answer to two decimal places.
Question 13
Short Answer
E
i
=
E
max
sin
θ
E _ { i } = E _ { \max } \sin \theta
E
i
=
E
m
a
x
sin
θ
Find the number of volts in the circuit if the resistance has a value of 22 ohms and uses 550 watts.
Question 14
Multiple Choice
When a number must be squared, the square key symbol on a calculator is:
Question 15
Multiple Choice
The square root key on a calculator looks like:
Question 16
Short Answer
The number of watts used in a circuit is equal to the volts squared divided by the ohms. Find the wattage used in the circuit shown. Round the answer to the nearer tenth.
E
X
E _X
E
X
Question 17
Multiple Choice
O
P
=
V
1
2
+
V
2
2
+
2
(
V
1
)
(
V
2
)
cos
θ
O P = V _ { 1 } ^ { 2 } + V _ { 2 } ^ { 2 } + 2 \left( V _ { 1 } \right) \left( V _ { 2 } \right) \cos \theta
OP
=
V
1
2
+
V
2
2
+
2
(
V
1
)
(
V
2
)
cos
θ
A calculator is set in the Engineering mode. The display shows: 56.345 -03. Express this value in the proper engineering units.
Question 18
Short Answer
A cable is checked for a power installation and is found to be too small. The cable has 37 strands of copper wire, each having a diameter of 82.2 mils. Find the size of the cable in circular mils. Carry answer to two decimal places.