1
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2
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- First
- Make a sketch
- Mark on it what you want to know
- Identify what you are trying to determine
- This will help you organize your thoughts
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3
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- Second
- Identify principles involved in the problem
- Look for relationships that connect unknown and known quantities
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4
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- Third
- Decide which equations should be used
- Substitute known information into selected equations and solve for
unknown quantity
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5
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- Fourth
- Check answer by substituting it into original equation
- Ask yourself, “Does the answer seem reasonable?”
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6
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- Finally
- Is it in the “right ballpark”?
- Are units on both sides of the equations correct?
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7
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8
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- Electric Current
- Temperature
- Amount of a substance
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9
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- 1 meter is about 1 yard
- 1 inch is about 2½ centimeters
- 1 newton is about the force required to lift a ½-pound weight
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10
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- Raising a ½-pound weight 1 meter in 1 s requires about 1 watt
- Room temperature is about 35 degrees Celsius or about 300 degrees kelvin
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11
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- Convert 60 miles/hour to km/hr
- Convert 60 miles/hour to m/s
- A circle has radius of 6 inches
- Determine the area in square meters
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12
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- For very large and very small numbers
- 35 000 = 3.5 × 104 or 35 × 103
- 458 000 = 4.58 × 105 or 458 × 103
- 0.000 042 = 4.2 × 10-5 or 42 × 10-6
- 0.000 159 = 1.59 x 10-4 or 159 x 10-6
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13
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- To multiply numbers in power of 10 notation
- Multiply their base numbers
- Add their exponents (e.g., 103 x 105 = 108)
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14
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- To divide numbers in power of 10 notation
- Divide their base numbers
- Subtract their exponents (top - bottom) (e.g.,109/103
= 106)
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15
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- To add or subtract, adjust all numbers to same power of ten
- It does not matter what exponent you choose, as long as they are all the
same
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16
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- For example
- 3 x 104 + 5 x 103 = 35 x 103 (changing
both powers of 10 to 3)
- Or
- 3 x 104 + 5 x 103 = 3.5 x 104
(changing both powers of 10 to 4)
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17
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- Raising a number to a power is a form of multiplication
- (4 × 103)2
= (4 × 103)(4 ×
103)
- = 16 × 106
- Fractional powers represent roots
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18
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- Scientific Notation
- 24 700 = 2.47 × 104
- 0.000 046 = 4.6 × 10-5
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19
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- Engineering Notation
- Uses only powers that are factors of 3
- 24 700 = 24.7 × 103
- 0.000 046 = 46 × 10-6
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20
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- Metric Prefixes are used for convenience
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21
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- Significant digits
- Digits that carry information
- It is a common error to show more digits of accuracy than are warranted
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22
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- Number of significant digits in a result due to multiplication or
division is the same as the number of significant digits in the number
with the least number of significant digits.
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23
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- Electric circuits
- Use batteries and resistors as components
- Circuit diagrams are used on paper
- Three types are used
- Pictorial, block, and schematic
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24
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- Help visualize circuits by showing components as they actually appear
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25
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- Blocks represent portions of a system
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26
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27
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- Prepackaged Simulation Software
- PSPICE, Electronics Workbench
- Math Software
- Programming Languages
- BASIC, C, C++, FORTRAN, Assembly
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28
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- Graphing Programs
- Electronic Calculators
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