Answer:
the netuon arrangment
Explanation:
Answer:
Explanation:
To calculate the currents in the parallel branches, we need to know the impedance of each branch. That will be the sum of the resistance and reactance.
The inductive reactance is ...
The capacitive reactance is ...
Branch 1
The impedance of branch 1 is ...
Z1 = 8 +j4.99984 Ω
so the current is ...
I1 = V/Z = 240/(8 +j4.99984) ≈ 25.440∠-32.005°
The power factor is cos(-32.005°) ≈ 0.848 (lagging)
Branch 2
The impedance of branch 2 is ...
Z2 = 5 -j10 Ω
so the current is ...
I2 = 240/(5 +j10) ≈ 21.466∠63.435°
The power factor is cos(63.436°) ≈ 0.447 (leading)
Total current
The total current is the sum of the branch currents. A suitable calculator can add these vectors without first converting them to rectangular form.
It = I1 +I2 = (21.573 -j13.483) +(9.6 +j19.2)
It ≈ 31.173 +j5.717 ≈ 31.693∠10.392°
The power factor for the circuit is cos(10.392°) ≈ 0.984 (leading)
__
The phasor diagram of the currents is attached.
_____
Additional comment
Given two vectors, their sum can be computed several ways. One way to compute the sum is to use the Law of Cosines. In this application, the angle between the vectors is the supplement of the difference of the vector angles: 84.560°.
Answer and Explanation:
The computation is shown below
Total average cost + total variable cost = total cost
Let number of output be x
So,
Total fixed average cost = x × $30
Total variable cost = x × $15
Total cost = $2,500
Therefore,
$20 × x + $30 × x = $2,500
50 × x = $2,500
x = 50
Now the total variable cost is
= 50 × $20
= $1,000
And, the fixed cost is
= 50 × $30
= $1,500
Answer:
12 4
Explanation:
because the production average is variable
Answer:
73.24 K byte
Explanation:
Assuming that
N = total number of samples
N = 10 * 5kHz
N = 50*10^3
Also, the total number of bits, T
T = 12 * N
T = 12 * 50*10^3
T = 600 * 10^3
And then, finally, the total number of byte,
B = 600*10^(3/8)
B = 75*10^3 byte
75*10^3 byte = 75*10^3/1024 kilo byte
And on converting to decimal, we will have
= 73.24 K byte
Therefore, the memory required = 73.24 K byte
Determine the temperature at the center plane of the brass plate after 3 minutes of cooling.
Answer:
809.98°C
Explanation:
STEP ONE: The first step to take in order to solve this particular Question or problem is to find or determine the Biot value.
Biot value = (heat transfer coefficient × length) ÷ thermal conductivity.
Biot value = (220 × 0.1)÷ 110 = 0.2.
Biot value = 0.2.
STEP TWO: Determine the Fourier number. Since the Biot value is greater than 0.1. Tis can be done by making use of the formula below;
Fourier number = thermal diffusivity × time ÷ (length)^2.
Fourier number = (3 × 60 × 33.9 × 10^-6)/( 0.1)^2 = 0.6102.
STEP THREE: This is the last step for the question, here we will be calculating the temperature of the center plane of the brass plate after 3 minutes.
Thus, the temperature of the center plane of the brass plane after 3 minutes = (1.00705) (0.89199) (900- 15) + 15.
= > the temperature of the center plane of the brass plane after 3 minutes = 809.98°C.
Explanation:
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Answer:
See attached pictures.
Explanation:
See attached pictures for detailed explanation.