Answer:
a. Zin = 41.25 - j 16.35 Ω
b. V₁ = 143. 6 e⁻ ¹¹ ⁴⁶
c. Pin = 216 w
d. PL = Pin = 216 w
e. Pg = 478.4 w , Pzg = 262.4 w
Explanation:
a.
Zin = Zo * [ ZL + j Zo Tan (βl) ] / [ Zo + j ZL Tan (βl) ]
βl = 2π / λ * 0.15 λ = 54 °
Zin = 50 * [ 75 + j 50 Tan (54) ] / [ 50 + j 75 Tan (54) ]
Zin = 41.25 - j 16.35 Ω
b.
I₁ = Vg / Zg + Zin ⇒ I₁ = 300 / 41.25 - j 16.35 = 3.24 e ¹⁰ ¹⁶
V₁ = I₁ * Zin = 3.24 e ¹⁰ ¹⁶ * ( 41.25 - j 16.35)
V₁ = 143. 6 e⁻ ¹¹ ⁴⁶
c.
Pin = ¹/₂ * Re * [V₁ * I₁]
Pin = ¹/₂ * 143.6 ⁻¹¹ ⁴⁶ * 3.24 e ⁻ ¹⁰ ¹⁶ = 143.6 * 3.24 / 2 * cos (21.62)
Pin = 216 w
d.
The power PL and Pin are the same as the line is lossless input to the line ends up in the load so
PL = Pin
PL = 216 w
e.
Pg Generator
Pg = ¹/₂ * Re * [ V₁ * I₁ ] = 486 * cos (10.16)
Pg = 478.4 w
Pzg dissipated
Pzg = ¹/₂ * I² * Zg = ¹/₂ * 3.24² * 50
Pzg = 262.4 w
Answer:
The direction and magnitude of velocity is 38.65° and 12.005 m/s
Explanation:
Given that,
Mass of car = 1500 kg
Speed of car = 25.0 m/s
Mass of van = 2500 kg
Speed of van =20.0 m/s
We need to calculate the velocity
Using conservation of energy




The magnitude of velocity


We need to calculate the direction




Hence, The direction and magnitude of velocity is 38.65° and 12.005 m/s.
Answer:

Explanation:
The system is modelled after the Principle of Energy Conservation and the Work-Energy Theorem:



The stiffness constant of the spring is 68,290.3 N/m
<h3>
Stiffness constant of the spring</h3>
Apply the principle of conservation of energy;
U = K.E
¹/₂kx² = ¹/₂mv²
kx² = mv²
k = mv²/x²
where;
- v is speed = 60 km/h = 16.67 m/s
- x is the distance
k = (1300 x 16.67²)/(2.3²)
k = 68,290.3 N/m
Thus, the stiffness constant of the spring is 68,290.3 N/m.
Learn more about stiffness constant here: brainly.com/question/1685393
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Answer:
correct answer is Precipitous vaginal delivery
Explanation:
given data
cervix dilated = 4 cm
effaced = 100%
delivery = 5 minutes later
solution
correct answer is Precipitous vaginal delivery because precipitous take delivery time less than = 3 hours
A multipara progress at rate 1.5 cm of dilation per hour
and it is progress for 10 cm for the deliver and birth averages approx 20 minute
so here correct answer is Precipitous vaginal delivery