The maximum power to R is approximately 27.8 watts.
To find the value of R for maximum power transfer to R, we need to find the Thevenin equivalent of the circuit as seen from the terminals AB.
First, we can find the equivalent impedance of the circuit by adding the impedances in series
Z = jwL + R + jwC
Z = j(2π(60))(0.412) + 6 + j(2π(60))(3.12 × [tex]10^{-6}[/tex])
Z = (0.412j + 6 - 0.745j) Ω
Z = (5.255 - 0.333j) Ω
Next, we can find the Thevenin voltage by finding the voltage across the impedance Z when a current of 2 A is flowing through the circuit. Using Ohm's Law
VTH = IZ = (2 A)(5.255 - 0.333j) Ω
VTH = (10.51 - 0.666j) V
Now, the Thevenin equivalent of the circuit can be drawn as
VTH = 10.51 - 0.666j V
ZTH = 5.255 - 0.333j Ω
The value of R for maximum power transfer to R is equal to the real part of the Thevenin impedance, so
R = Re(ZTH) = 5.255 Ω
To find the maximum power to R, we can use the formula
PR = ([tex]VTH^{2}[/tex] / 4R) watts
Substituting the values we found, we get
PR = ([tex](10.51-0.666j)^{2}[/tex] / 4(5.255)) watts
PR = (27.769 - 1.76j) watts
Therefore, the maximum power to R is approximately 27.8 watts.
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If a storm is 7.5 kilometers away, how much time is expected between observations of lightning and thunder?
Answer:
≈ 22 seconds
Explanation:
7,5 km = 7500 m
Speed of light 300 000 000 m/s (for lightning)
Speed of sound 343 m/s (for thunder)
time = distance / speed
lightning time = 7500 m / 300 000 000 m/s = 0.000025 s
thunder time = 7500 m / 343 m/s ≈ 22 s
thunder time - lightning time = 22 s - 0.000025 s ≈ 22 s
how you would orient the magnets and what you would do with the magnets to achieve maximum repulsion
The orientation of the magnets that gives the strongest repulsion because these poles and facing each other that is then leaves highest flux density of the poles for a force of repulsion to be very high
a ball rolled a velocity of 20m/s after 5s it comes to stop what is the acceleration of the ball
Answer:
please find the attached pdf
Explanation:
True or false. Your weight will change on the moon
calculate the pressure exerted on the floor when an elephant who weighs 2400N stands on one foot which has an area of 0.4m squared
Answer:
6000pa
Explanation:
force= 2400N
area= 0.4m
pressure=?
now,
p= f/a
p= 2400/ 0.4
therefore,P=6000 pa.
What patterns are caused by the Earth, Sun, and Moon systems?
The Earth, Sun, and Moon systems create several patterns, including the day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses. These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it. Understanding these patterns is essential in comprehending the workings of the universe and the impact they have on our planet.
What patterns are caused by the Earth, Sun, and Moon systems?The Earth, Sun, and Moon systems create several patterns, including:
Day and Night cycle: The rotation of the Earth on its axis causes the alternating cycle of day and night as different parts of the planet face towards or away from the Sun.
Seasons: The tilt of the Earth's axis (23.5 degrees) causes the seasons to change as different parts of the planet receive varying amounts of sunlight throughout the year.
Lunar Phases: The Moon orbits the Earth, causing it to appear to change shape in the sky as different amounts of sunlight reflect off its surface.
Tides: The gravitational pull of the Moon and the Sun on the Earth's oceans creates a regular cycle of high and low tides.
Solar and Lunar Eclipses: The alignment of the Earth, Sun, and Moon can cause a shadow to be cast on one celestial body by another, resulting in either a solar or lunar eclipse.
These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it.
Therefore, The day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses are just a few of the patterns that the Earth, Sun, and Moon systems produce. Scientists have been analyzing and studying these patterns for centuries, and they have had a significant impact on how we view the cosmos and our place in it. Knowing these patterns is crucial to understanding how the cosmos functions and how they affect our world.
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Qué estudios se realizan en la actualidad para utilizar la electricidad de una manera más eficiente?
Answer:
Se realizan estudios en tres áreas: a) Procesos de transformación de la energía, b) Almacenamiento de la energía, c) Gestión inteligente entre consumo y generación.
Explanation:
Actualmente, se están realizando estudios en principalmente en tres áreas cruciales: a) Procesos de transformación de la energía, b) Almacenamiento de la energía, c) Gestión inteligente entre consumo y generación.
a) Se están desarrollando nuevos materiales que permiten mayor eficiencia entre la energía recibida y la energía eléctrica, además de una mayor durabilidad frente a las condiciones ambientales. Esto implica el mejoramiento del desempeño de las tecnologías basadas en las energías renovables y limpias, acortando su brecha con las energías no renovables.
b) Se están desarrollando nuevos materiales que garanticen una mayor densidad energética y mayor durabilidad, significando baterías más compactas, con mayor capacidad y más competitivas económicamente.
c) Se están desarrollando estrategias de control inteligente a tiempo que permite sincronizar el consumo y la generación, además de posibilitar el flujo bidireccional de la energía a través de una red inteligente (smart grid) e integrar mejor las fuentes renovables dentro de la matriz energética.
Ocean waves are hitting a beach with a frequency of 0.100 Hz. Their average wavelength is 15.0 m. What is their average speed?
What is the frequency of a pendulum that is moving at 30 m/s with a wavelength of 0.32 m?
Answer:
Average speed=1.5 m/s
Frequency of pendulum=93.75Hz
Explanation:
We are given
Frequency, [tex]f=0.100Hz[/tex]
Average wavelength =[tex]\lambda=15m[/tex]
Speed of pendulum, [tex]v=30m/s[/tex]
Wavelength, [tex]\lambda'=0.32m[/tex]
We have to find the average speed and frequency of pendulum.
We know that
Speed,[tex]v=\lambda f[/tex]
Using the formula
Average speed,[tex]v=15\times 0.1=1.5m/s[/tex]
Hence, the average speed =1.5m/s
Frequency, [tex]f=\frac{v}{\lambda'}[/tex]
Using the formula
[tex]f=\frac{30}{0.32}[/tex]
[tex]f=93.75Hz[/tex]
Hence, the frequency of a pendulum=93.75Hz
The electrostatic force between two charged metal spheres is 2N. If the charge on each sphere is doubled, what is the new force between the spheres?
Question 2 options:
A. 2N
B. 4N
C. 1N
D. 8
Answer:
8 N
Explanation:
The force between two charges is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]
Where
k is electrostatic constant
d is the distance between two charges
It means,
[tex]F\propto \dfrac{1}{d^2}[/tex]
When the distance is d, the force is 2 N. If the charge on each sphere is doubled, q₁' = q₂' = 2q₁ = 2q₂. New force will becomes:
[tex]F'=\dfrac{kq_1'q_2'}{d^2}\\\\F'=\dfrac{k2q_1\times 2q_2}{d^2}\\\\F'=4\times \dfrac{kq_1q_2}{d^2}\\\\F'=4\times 2\\\\F'=8\ N[/tex]
So, the new force becomes 8N. Hence, the correct option is (d).
Mercury has the most eccentric (least circular) orbit of all the planets in the Solar System. At aphelion it is 0.467 AU from the Sun while at perihelion it is only 0.308 AU from the Sun. What is Mercury's orbital period in Earth-days?
Answer:
Mercury's orbital period is approximately 88 days
Explanation:
Mercury's orbit parameters given in the question are;
Mercury's aphelion distance, Rₐ = 0.467 AU
Mercury's perihelion distance, [tex]R_p[/tex] = 0.308 AU
Therefore, the average distance from Mercury to the Sun, 'a', is given as follows;
[tex]a = \dfrac{R_a + R_p}{2}[/tex]
By plugging in the values of 'Rₐ' and '[tex]R_p[/tex]', we get;
[tex]a = \dfrac{R_a + R_p}{2} = \dfrac{0.467 \, AU + 0.308 \, AU}{2} = 0.3875 \, AU[/tex]
a = 0.3875 AU
According to Kepler's third law, we have;
P² = k·a³
Where;
P = The orbital period of the plane
a = The average distance from Mercury to the Sun
k = Constant
When k = 1, we have;
P² = a³
∴ P = √(a³)
From which we have;
P = √(0.3875 AU)³ ≈ 0.241216804711 years
P ≈ 0.2412168 years
1 year = 365 days
∴ 0.241216804711 years = 0.241216804711 years × 365 days/year ≈ 88.0441337 days
0.241216804711 years ≈ 88.0441337 days ≈ 88 days
Mercury's orbital period, P ≈ 88 days.
Two objects, A and B, are in contact with one another. Initially, the temperature of A is 50 °C and the temperature of B is 100 °C. 1. **The particles of which object (A or B) initially have a greater average kinetic energy? How do you know?
Answer:
B
Explanation:
because kinetic energy is directly proportional to temperature so the hottor the object, the more kinetic energy.
1. Compare the speed that light waves travel in air to the speed that sound waves travel in the air. How many times faster do light waves travel in air in comparison to sound waves in air?
Water-1500 meters per second
steel-5000 meters per second
Air-335 meters per second
Answer:
895522 times faster.
Explanation:
From the question given above, the following data were obtained:
Speed of sound in air (v) = 335 m/s
Speed of light in air (c) = 3×10⁸ m/s
How many times faster =.?
To obtain how many times faster light travels in air than sound, do the following
c : v => 3×10⁸ : 335
c/v = 3×10⁸ / 335
c/v = 895522
Cross multiply
c = 895522 × v
From the illustrations made above, we can see that the speed of the light in air (c) is 895522 times the speed of sound in air.
Thus, light travels 895522 times faster than sound in air.
what is equilibrium state
Answer:
A state of rest or balance due to the equal action of opposing forces.
Answer:
a state of rest or balance due to the equal action of opposing forces. equal balance between any powers, influences,etc
Explanation:
state and explain the joules law
Answer:
Joule’s law of heating states that when a current ‘i ' passes through a conductor of resistance ‘r’ for time ‘t’ then the heat developed in the conductor is equal to the product of the square of the current, the resistance and time.
H = i 2 rt
The reason behind the heat produced is the collision of the free electrons with the lattice ions or atoms while accelerating in presence of the external electric field.
we know that
volt= work done/ total charge or v = w/q
from this we get w= vq
we know that current i = q / t
so q = it
putting this in prev equation
we get w = vit
from ohms law v = ir
putting it in prev eq we get
w = irit = i2rt joule as work is stored as heat soH = I2RT Joules
if a current carrying conductor having resistance (r) gets heated by to passing of current (i) for time (t) and the heat thereby produced be H
joules law states that
H propotional to i^ 2 when r and t are constant
H propotional to r when I and t are constant
H propotional to t when r and I constant
5. A car accelerates from 0 to 72 km/hour in 8.0 seconds. What is the car's acceleration?
Answer:
2.5 m/s
Explanation:
There are calculators online that can help you easily calculate the accerlation.
What is the SPEED of a train that travels 15000 meters in 1200 seconds (20 minutes)?
PLEASE SHOW WORK!!!! EASY POINTS!!!!
Answer:
27.9617 mi/h
Explanation:
Speed= distance/time
S= 15000/1200
what are the unique characteristics of romantic music which are not present in Original Pilipino Music (OPM)
Answer:
ITU Sangat bermanfaaat
Please help (choose a b or c)
(the image is attached)
In the adjacent circuit, the voltage across the terminals of the dry cell is equal to 12 V.
The value displayed by the voltmeter is:
a- 0 V
b- 12 V
c- -12 V
The two terminals that correspond to the correct connection of a voltmeter in a circuit are:
a- A and COM
b- A and V
c- V and COM
I GEUSS A and COM is correct answer to this question
Answer:
1. (a) =0
2.(c) = v and COM
6. Suppose the resistance of your body between your right and left hands is 500,000 N. What
would be the current flowing through your body if you touched the plus and minus terminals of
a 120 V battery? The threshold of sensation for electric current through your body is about
300 PA. Would you feel the current?
HELP PLS
lonic and Covalent compound formed through atomic bond formation. With the given
chemical formula, write the characteristic of the given properties.
Answer:
1) Sucrose C₁₂H₂₂O₁₁
Common name; Sugar
Types of Compound ; Covalent Compound
Melting point; No melting point, it decomposes when heated
Electrical conductivity; Does not conduct electricity when dissolved in water
Solubility in water; Soluble in water
2) C₉H₈O₄ (Acetyl Salicylic acid)
Common name; Aspirin
Types of Compound ; Covalent Compound
Melting point; High
Electrical conductivity; Does not conduct electricity when dissolved in water
Solubility in water; Slightly soluble in water
3) NaCl (Sodium Chloride)
Common name; Salt
Types of Compound ; Ionic Compound
Melting point; High
Electrical conductivity; Conducts electricity when dissolved in water
Solubility in water; Soluble in water
4) C₅H₈NO₄Na (Monosodium Glutamate (MSG)
Common name; Vetsin
Types of Compound ; Ionic Compound
Melting point; High
Electrical conductivity; Conducts electricity when dissolved in water
Solubility in water; Soluble in water
5) C₈H₁₈ (Octane)
Common name; Common gasoline
Types of Compound ; Covalent Compound
Melting point; Low
Electrical conductivity; Does not conducts electricity and insoluble in water
Solubility in water; Relatively insoluble in water
Explanation:
Long Answer Type Questions
1 Can you differentiate between opaque, transparent and translucent objects
2 What is reflection of light?
3. What are the conditions for a shadow to be formed?
4. Prove through an experiment that light travels in straight lines.
5. What is pinhole camera? Explain its working with the help of a diagram
6. What are the main differences between a reflected image and shadows?
(1).....opaque -object that not allow light to pass through it
we can't look through opaque objects
ex..wall
translucent... objects that all some light to pass through it
we can partially see through it
ex...coloured glass window
transparent... objects that wholly allow light to pass through it
we can clearly see through it
ex...glass of specs
(2)..the bouncing back of light from a smooth polished surface is called reflection of light
(3)/.....there must be a solid ,opaque to block light
there must be a source of light
there must be a surface to have shadow on it..
(6)...reflected images r formed by light reflection from a smooth polished surface while shadows are formed by blockage of light by an solid,opaque object...
Explanation:
we should talk here thanks
what type of em waves is fm radio? And how it is used in wireless communication?
Answer:
Radio waves are used for wireless transmission of sound messages, or information, for communication, as well as for maritime and aircraft navigation. The information is imposed on the electromagnetic carrier wave as amplitude modulation (AM) or as frequency modulation (FM) or in digital form (pulse modulation).
Explanation:
3. Gather data: Use the values above to fill in the first row of the table. Then run your own experiments to fill
in the last two rows.
f
d.
d,
h.
h,
ร”
S
d
de
2.0
h;
h.
2.0
s.
2.0
S
f
2.0
15
10
30
Answer:
urjshsus uevus e survey dydvd dydvdyd d dgdv gdyr yrgdvv yth yrhvthr
Explanation:
ydgdydvd yd dv ydvr dyve dysdvdyr gdvr
A que profundidad esta nadando una persona dentro de una alberca si la presión absoluta sobre ésta es de 156kPa?
Answer:
La persona está nadando en la alberca a una profundida de 5.575 metros.
Explanation:
La presión absoluta ([tex]P_{tot}[/tex]) experimentada por la persona es la suma de la presión atmosférica ([tex]P_{atm}[/tex]) y la presión hidrostática de la columna de agua de la alberca ([tex]P_{h}[/tex]), medidas en kilopascales. Es decir,
[tex]P_{tot} = P_{atm}+P_{h}[/tex] (1)
[tex]P_{tot} = P_{atm} + \frac{\rho\cdot g \cdot z}{1000}[/tex] (2)
Donde:
[tex]\rho[/tex] - Densidad del fluido de la alberca, medida en kilogramos por metro cúbico.
[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo al cuadrado.
[tex]z[/tex] - Profundidad de la persona en la alberca, medida en metros.
Si sabemos que [tex]P_{atm} = 101.325\,kPa[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] y [tex]P_{tot} = 156\,kPa[/tex], entonces la profundidad de la persona en la alberca es:
[tex]156 = 101.325 +\frac{(1000)\cdot (9.807)\cdot z}{1000}[/tex]
[tex]54.675 = 9.807\cdot z[/tex]
[tex]z = 5.575\,m[/tex]
La persona está nadando en la alberca a una profundida de 5.575 metros.
the Himalayas are the highest mountain in the world (positive). grammar question
Answer:
positive degree:
No other peak of the Himalayas is as high as Mount everest
The ability of a halogen to react with a metals to form a salt is an example of a ________________ property.
A car is moving with 15000J of energy. If the car has a mass of 1500kg, how fast is it moving?
Answer:
V=4.5 m/s
Explanation:
KE=1/2mv^2
1500=1/2(15000)v^2
answer :4.5m/s
Explanation:
V=30,000J/1500kg
V=20m²/s²
V=4.5m/s
Motion and acceleration may only be used to refer to physical objects moving or changing speed/direction
Answer:
True
Explanation:
It is TRUE that Motion and acceleration may only be used to refer to physical objects moving or changing speed/direction.
This is because if an object is not moving or changing speed/direction to a determined point of reference, the object is considered to be at rest or motionless, thereby, with no absolute point of reference, absolute motion or acceleration cannot be distinguished.
write any four importance of pressure
Answer:
Here is your ans
Explanation:
hope it helps you tq
All weather stations have to make weather observations at the same time of the day.
True
False
Answer:
false
Explanation:
Answer:
True
Explanation:
The answer is true do not listen to the other person they will get you wrong just look at the votes between mine and the other person's (hint like my answer and rate 5 stars so other people know what to pick)