Standard electrical voltage in Europe is 220 volts.
a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.
Answers
Applying the general Ohm's Law, it is found that:
a) The impedance is of 8 + 4i ohms.
b) The current is of 17.6 + 8.8i amperes.
c) The impedance is of -11i ohms.
Ohm's Law states that voltage is current multiplied by impedance, that is:
[tex]V = IZ[/tex]
Standard voltage of 220 volts, thus [tex]V = 220[/tex].
Item a:
Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = (22 - 11i)Z[/tex]
[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]
Considering [tex]i^2 = -1[/tex]
[tex]Z = \frac{220(22 + 11i)}{605}[/tex]
[tex]Z = 0.3636(22 + 11i)[/tex]
[tex]Z = 8 + 4i[/tex]
The impedance is of 8 + 4i ohms.
Item b:
Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then
[tex]V = IZ[/tex]
[tex]220 = (10 - 5i)I[/tex]
[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]
[tex]I = \frac{220(10 + 5i)}{125}[/tex]
[tex]I = 1.76(10 + 5i)[/tex]
[tex]I = 17.6 + 8.8i[/tex]
The current is of 17.6 + 8.8i amperes.
Item c:
Current is 20i amps, thus [tex]I = 20i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = 20iZ[/tex]
[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]
[tex]Z = -\frac{220 \times 20i}{400}[/tex]
[tex]Z = -11i[/tex]
The impedance is of -11i ohms.
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Answer:
Step-by-step explanation:
The triangle’s angles add up to 180 degrees
so 40 + (16x + 2) + ∠C = 180
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so ∠C = 180 - (23x + 7)
∠C = 180 - 23x -7
∠C = 173 - 23x
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40 + 16x + 2 + 173 - 23x = 180
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Answer:
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Step-by-step explanation:
Mr. Ramirez purchased 50 concert tickets for a total of $575. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Write and solve a system of equations to represent the given scenario. Use the variables "a" for adults and "c" for children.
Answers
Explanation:
a = adult tickets
c = child tickets
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a + c = 50
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Look at the figure. How can you prove the triangles are congruent?
A) it is not possible to determine if the triangles are congruent
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Answers
Answer:
Δ ABD ≅ Δ CBD SSS
Step-by-step explanation:
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D. 3
Answers
Answer:
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Answers
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A = L*W
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Answer:
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Answer:
If x=-1 then y= -3
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Answer:
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Step-by-step explanation:
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Answers
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Answer:
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so
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The approximate length of the lake is 625 yards.
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What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
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Step-by-step explanation:
Basically, let's represent the amount of money earned in
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
6% can be represented by 0.06 so multiply that by 63
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