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Nostrana [21]
3 years ago
13

In a balanced three-phase wye–delta system, the source has an abc phase sequence and Van = 120∠40° V rms. The line and load impe

dances are 0.5 + j0.4 Ω and 24 + j18 Ω, respectively. Find the delta currents in the load.
Engineering
1 answer:
Step2247 [10]3 years ago
8 0

Answer:

6.51∠-26.9° Amp - rms

Steps:

  1. This three-phase circuit will be equivalent to three single phase circuits in Y connection and we'll calculate current for ONE phase by dividing the load impedance by 3.
  2. By applying Ohm's law to the circuit, current will be calculated.
  3. Then the equivalent Delta current will be calculated by dividing it to sqrt(3)  and subtracting 30°

Explanations:

Source = 120∠40 V

Z-line=0.5+j0.4Ω

Z-load=24+j18Ω

<u>Converting Delta to Star</u>

Z-load-1Ф=Z-load-3Ф/3

=\frac{24+j18}{3}\\=8+j3

<u>Calculating Star Current by Ohm's Law:</u>

\frac{V}{Z-line+Z-load-1}\\ =\frac{120∠40}{(8+j6)+(0.5+j0.4)}

=11.27 A-rms

<u>Converting Star current to Delta Current</u>

I-delta=\frac{I-star}{\sqrt{3} } \leq -30

I-delta = 6.51∠-26.9°

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Explanation:

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How many electrons move past a fixed reference point every t = 2.55 ps if the current is i = 7.3 μA ? Express your answer as an
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116.3 electrons

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Data provided in the question:

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4 0
3 years ago
I'll mark brainliest plz help
Citrus2011 [14]

Answer:

Explanation:

There are three points in time we need to consider.  At point 0, the mango begins to fall from the tree.  At point 1, the mango reaches the top of the window.  At point 2, the mango reaches the bottom of the window.

We are given the following information:

y₁ = 3 m

y₂ = 3 m − 2.4 m = 0.6 m

t₂ − t₁ = 0.4 s

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t₀ = 0 s

v₀ = 0 m/s

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Use a constant acceleration equation:

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3 = y₀ + (0) t₁ + ½ (-9.8) t₁²

3 = y₀ − 4.9 t₁²

Evaluated at point 2:

0.6 = y₀ + (0) t₂ + ½ (-9.8) t₂²

0.6 = y₀ − 4.9 t₂²

Solve for y₀ in the first equation and substitute into the second:

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0 = 2.4 + 4.9 (t₁² − t₁² − 0.8 t₁ − 0.16)

0 = 2.4 + 4.9 (-0.8 t₁ − 0.16)

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t₁ = 0.412

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3 = y₀ − 4.9 t₁²

3 = y₀ − 4.9 (0.412)²

3 = y₀ − 0.83

y₀ = 3.83

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