The resonant frequency of the circuit is [tex]fo/2[/tex]
as given in the question,
in a series L-R-C circuit
the frequency of the circuit is at resonance
so it is f subscript o
the resistance of the circuit is doubled
where the inductance and capacitance and the voltage amplitude is of the AC source.
the inductance of the circuit (L) is 2L
the capacitance of the circuit (C) is 2C
Resonant frequency is the oscillation of the circuit in its natural state.
[tex]f=\frac{1}{2\pi \sqrt{LC} }[/tex]
where
L is the inductance of the circuit
C is the capacitance of the circuit
[tex]fo[/tex] is the resonant frequency
therefore
by the angular frequency formula
w=[tex]2\pi f[/tex]
=> [tex]f = \frac{w}{2\pi }[/tex]
now
[tex]f=\frac{1}{2\pi \sqrt{LC} }[/tex]
by placing the new values of L and C
[tex]f=\frac{1}{2\pi \sqrt{(LC)} }[/tex]
=> f = [tex]\frac{1}{2\pi \sqrt{(2L2C)} }[/tex]
=> f = [tex]\frac{1}{2\pi \sqrt{(LC)} } \frac{1}{2}[/tex]
=>f = [tex]\frac{1}{2} \times (fo)[/tex]
=> f= [tex]fo/2[/tex]
therefore by this we can say that
the resonant frequency is [tex]\frac{fo}{2}[/tex]
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Name the part of the respiratory system which is shared with the digestive system. What is the common name of that part?
Sometimes hikers carry radio beacons so that search and rescue teams can find them in case of emergency. Some of these beacons transmit radio waves with a frequency of 300,000 Hz. (300kHz) What is the wavelength of these waves?
Answer:
1000 m
Explanation:
Given that,
The frequency of radio waves f = 300,000 Hz
We need to find the wavelength of these waves.
The formula to find wavelength is as follows :
[tex]c=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{300000}\\\\\lambda=1000\ m[/tex]
So, the wavelength of these waves is 1000 m.
A toy radio-controlled car races around a circular track in a time of 2 MINUTES, with a speed of 5.25 m/s. What is the radius of the
circular track? (will give brainliest)
Answer:
The radius will be "100.31 m". A further solving is given below.
Explanation:
The given values are:
Time,
T = 2 minutes
i.e.,
= 120 seconds
Speed,
V = 5.25 m/s
As we know
⇒ [tex]T=\frac{2 \pi R}{V}[/tex]
then,
⇒ [tex]R=\frac{TV}{2 \pi}[/tex]
On substituting the given values, we get
⇒ [tex]=\frac{120\times 5.25}{2\times 3.14}[/tex]
⇒ [tex]=\frac{630}{6.28}[/tex]
⇒ [tex]=100.31 \ m[/tex]
Which nucleus completes the following equation?
Answer:
B. [tex]\frac{218}{85} At[/tex]
Explanation:
A P E X
The nucleus that completes the following equation is ²²⁶Ac₈₉
²²²Fr₈₇ →⁴He₂ + ²²⁶Ac₈₉
Therefore the correct answer is option C.
What is radioactive decay?The phenomenon of Radioactive decay is a type of nuclear reaction in which the unstable nucleus of a radioactive element lose energy in the form of nuclear radiation, some examples of radioactive decay are alpha decay, decay, and beta decay.
The complete equation for the nuclear reaction is
²²²Fr₈₇ →⁴He₂ + ²²⁶Ac₈₉
For the given problem the nucleus completes the given equation is ²²⁶Ac₈₉. The correct answer is option C.
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what causes wind to flow ?
Answer:
hi
Explanation:
as a result of the collision of hot and cold air
hope it helps
have a nice day
Answer:
Hey mate.....
Explanation:
This is ur answer.....
Wind is the movement of air caused by the uneven heating of the Earth by the sun. ... Warm equatorial air rises higher into the atmosphere and migrates toward the poles. This is a low-pressure system. At the same time, cooler, denser air moves over Earth's surface toward the Equator to replace the heated air.
Hope it helps!
Brainliest pls!
Follow me! :)
What specific type of tide has the smallest difference between high and low tide?
Answer: Neap tides
Explanation: Neap tides are tides that have the smallest tidal range, and they occur when the Earth the Moon, and the Sun form a 90o angle. They occur exactly halfway between the spring tides when the Moon is at first or last quarter.
Which type of map best shows the three dimensions of Earth’s surface?
Answer:
please give me brainlist and follow
Explanation:
topographic map
A topographic map shows a three-dimensional representation of a flat surface. It has contour lines joining points of equal elevation; the closer the lines are the steeper the elevation is.
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject
Answer:
The average speed for the runner B for the first 25 seconds was;
30/25 = 1.2 m/s
Explanation:
The average speed of an object is given by the following formula
[tex]Average \ speed = \dfrac{Total \ distance \ covered}{Total \ time \ taken \ to \ cover \ the \ distance}[/tex]
From the graph, we have;
The coordinates of the runner B at the start = (0, 0)
The coordinates of the runner B after 25 seconds = (25, 30)
The total distance covered by the runner B after 25 seconds = The difference between the position at 25 seconds and the origin which is 30 meters
∴ The total distance covered by the runner B after 25 seconds = 30 meters
The time it takes the runner B to cover the distance = The 25 seconds
[tex]\therefore \ For \ the \ runner \ B, the \ average \ speed = \dfrac{30 \ meters}{25 \ seconds} = 1.2 \ m/s[/tex]
The average speed for the runner B for the first 25 seconds = 30 m/(25 s) = 1.2 m/s.
Explain a situation where chemical energy is transformed into light and heat energy.
Answer:
fire
Explanation:
burning the the oil
1. The movement of water between the oceans, atmosphere, land, and living things is the ______________________.
2. The changing of water from liquid to vapor is called ______________________.
3. During ______________________, water vapor cools and returns to a liquid state.
4. Water that falls from the atmosphere to the land and oceans is called ______________________.
5. Precipitation that falls on land and then flows into streams, rivers, and lakes is called ______________________.
6. Precipitation that seeps into the ground and is stored among rocks is called ______________________.
7. Water vapor is released by plants and returned to the environment in a process called ______________________.
8. Name three reasons water is needed for life on Earth.
a Q. No. la sap
What is derived is one second time?
Answer:
The second (abbreviation, s or sec) is the Standard International ( SI ) unit of time. One second is the time that elapses during 9,192,631,770 (9.192631770 x 10 9 ) cycles of the radiation produced by the transition between two levels of the cesium 133 atom. ... One second is equal to 1/86,400 of a mean solar day.
Explanation:
Define the types of friction and give FOUR examples of each
Static Friction
Rolling Friction
Sliding Friction
Fluid Friction
The wavelength of a water wave is 6 cm when the frequency is 10 hertz .
1. What is the distance between successive crests of the wave ?
2. What is the speed of propagation ?
3 What is the period of the wave ?
Please show workings.
Each of these flasks contains the same number of gas molecules. In
which container is the pressure highest?
Flask 1
Flask 2
Flask 3
Flask 4
Flask 3
Flask 4
Flask 2
Flask 1
Page
Answer:
Flask 1
Explanation:
when volume goes down pressure goes up, and the first flask has the smallest volume therefore the greatest pressure
We have that from the ideal gas equation that the flask with the lowest volume will have the highest pressure therefore
Flask one has the lowest Pressure
Option D
From the question we are told
Each of these flasks contains the same number of gas molecules. In
which container is the pressure highest
Generally the equation for an Ideal gas given as is mathematically given as
The ideal gass equation
[tex]PV=nRT[/tex]
Where
P=pressure
V=Volume
n=No of mole
R=Gas Constant
T=temperature
Therefore We have that from the ideal gas equation that the flask with the lowest volume will have the highest pressure therefore
Flask one has the lowest Pressure
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the ratio between the force of sliding friction and the normal force of an object is called?
A. The rolling friction
B. The drag
C. The coefficient of friction
D. The starting friction
Answer:
the coefficient of friction
what happens to the current in a circuit if a 1.5 volt battery is removed and is placed by a 9 volt battery?
Answer:
The current would increase.
Explanation:
The current would increase. 10. The relationship between resistance and current in a circuit is that the greater the resistance the less the current and the greater the current the less the resistance is.
if a 1.5-volt battery is removed and placed by a 9-volt battery in a circuit, From Ohm's law we can say that the current flow inside the circuit will increase because the voltage increases (resistance remains constant).
What is Ohm's law?Ohm's Law is a fundamental law of physics that describes the relationship between the three basic electrical quantities: voltage, current, and resistance in a circuit.
It states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, Ohm's Law is expressed as:
V = I x R
Where:
V = the voltage or potential difference between two points in the circuit, measured in volts (V).
I = the current flowing through the circuit, measured in amperes (A).
R = the resistance of the conductor, measured in ohms (Ω).
In other words, the voltage (V) across a circuit component is equal to the product of the current (I) flowing through the component and its resistance (R). This law is applicable to both DC (direct current) and AC (alternating current) circuits, as long as the resistance is constant.
Ohm's Law can be used to calculate any one of the three variables if the other two are known. For example, if the voltage and resistance in a circuit are known, the current flowing through the circuit can be calculated using the formula:
I = V / R
Here in the question,
The current in a circuit is determined by the resistance of the circuit and the voltage applied to it, according to Ohm's Law. If a 9-volt battery replaces a 1.5-volt battery, the voltage applied to the circuit will increase, which may cause an increase in the current flowing through the circuit if the resistance remains the same.
However, the increase in voltage may also cause an increase in the heat generated by the circuit, which could potentially damage the components or cause a safety hazard. Therefore, it is important to ensure that the components in the circuit can handle the higher voltage before replacing the battery.
It's also important to note that the current may also depend on the internal resistance of the batteries. A 9-volt battery typically has a lower internal resistance than a 1.5-volt battery, which means it can supply more current to the circuit. So, even if the resistance of the circuit remains the same, the current may still increase due to the higher voltage and lower internal resistance of the 9-volt battery.
Hence, The current flowing through the circuit increased when we removed a 1.5-volt battery and replaced it with a 9-volt battery.
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A flute plays a note with a frequency of 266Hz. What is the speed of sound if the wavelength is 1.3m?
Explanation:
Wave speed = (frequency) x (wavelength)
= (266 /sec) x (1.3 meters)
A simple pendulum with a length of 2 m oscillates on the Earth's surface. What is the period of oscillations?
Answer:
Period, T = 27.84 seconds
Explanation:
Given the following data;
Length of pendulum = 2m
We know that acceleration due to gravity on earth is equal to 9.8 m/s²
To find the period of oscillation of the simple pendulum;
Mathematically, it is given by the formula;
[tex] Period, T = 2 \pi \sqrt {lg} [/tex]
Substituting into the equation, we have;
[tex] Period, T = 2 * 3.142 * \sqrt {2*9.8} [/tex]
[tex] Period, T = 6.284 * \sqrt {19.6} [/tex]
[tex] Period, T = 6.284 * 4.43 [/tex]
Period, T = 27.84 seconds
What is the direction of the electric field if an electron initially at rest begins to move in the north direction as a result of the field?
Answer:
South
Explanation:
I guessed and got it right
A spring of force constant 1500 Nm-l is acted
upon by a constant force of 75 N. Calculate
the potential energy stored in the spring.
Answer:
1.876 J
Explanation:
First, let’s calculate the compression of the spring from the Hooke’s law:
F=kx,
here, F=75 N is the force acted on the spring, k=1500 N⁄m is the force constant of the spring, x is the compression of the spring.
Then, we get:
x=F/k=(75 N)/(1500 N/m)=0.05 m.
Finally, we can find the potential energy stored in the spring:
PE=1/2 kx^2=1/2∙1500 N/m∙(0.05 m)^2=1.875 J.
correct my answer if it's wrong ^^
A meter is larger than a
A.
hectometer
B.
kilometer
C.
decimeter
D.
dekameter
will give brainlist.
Answer:
Displacement (km)
Explanation:
The y axis is the vertical axis pointing up and down. This is labeled as the the displacement (km) in the graph.
Magnetic objects will attract to a magnet even if they are far from it.
Yes or No
Answer:
Yes
Explanation:
tamad ako magexplain
Answer:
Yes
Explanation:
The force exerted by a magnet is called
The push or pull of magnetism
can act at a distance, which means that the
magnet does not have to touch an object
to exert a force on it. When you close the
refrigerator, you feel the pull before the
magnet actually touches the metal frame.
There are other forces that act at a distance,
including gravity and static electricity. Later
you will read how the force of magnetism is
related to electricity. In fact, magnetism is
the result of a moving electric charge.
A rock at the edge of a cliff has 10 Joules of potential energy. A goat comes along and kicks the rock off the edge. At the moment right before the rock hits the ground about how much kinetic energy does it have? (remember, a Joule is the SI unit for measuring energy).
Answer:
27 J
Explanation:
Hurricanes along the Gulf Coastal areas of Texas increase the rate of coastal erosion.
Over time, this erosion can greatly affect the coastal environment.
Which of the following is a result of erosion on coastal environments?
Answer:
its the last question
Explanation:
Thats because erosion takes away stuff
who won the 2020-2021 Nfl Mvp Award
Answer:
During a star-studded but socially safe ceremony for the 10th Annual NFL Honors, Green Bay Packers quarterback Aaron Rodgers earned the prestige of being the 2020 NFL Most Valuable Player (MVP).
Explain in term of forces, why duck is floating on the water
Answer:
The duck floats on water because his/her density is less than the density of water
Explanation:
A 3.9 kg object is on top of a shelf that is 1.5 meters high. The object falls at a velocity of 9.2 m/s. Calculate the kinetic energy of the falling object
the answer is 165J
1/2×3.9×(9.2)^2 = 165J
The 4kg head of a sledge hammer is moving at 6m/s when it strikes a chisel, driving it into a log. The duration of the impact (or the time for the sledge hammer to stop after contact) is 0.0020s. Find the time average of the impact force
Answer:
The average impact force is 12000 newtons.
Explanation:
By Impact Theorem we know that impact done by the sledge hammer on the chisel is equal to the change in the linear momentum of the former. The mathematical model that represents the situation is now described:
[tex]\bar F \cdot \Delta t = m \cdot (v_{2}-v_{1})[/tex] (1)
Where:
[tex]\bar F[/tex] - Average impact force, in newtons.
[tex]\Delta t[/tex] - Duration of the impact, in seconds.
[tex]m[/tex] - Mass of the sledge hammer, in kilograms.
[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final velocity, in meters per second.
If we know that [tex]\Delta t = 0.0020\,s[/tex], [tex]m = 4\,kg[/tex], [tex]v_{1} = -6\,\frac{m}{s}[/tex] and [tex]v_{2} = 0\,\frac{m}{s}[/tex], then we estimate the average impact force is:
[tex]\bar F = \frac{m\cdot (v_{2}-v_{1})}{\Delta t}[/tex]
[tex]\bar F = 12000\,N[/tex]
The average impact force is 12000 newtons.
If two micro coulomb of charge is flowing in a circuit for 5 minutes. What is the amount of current in the circuit?
Answer:
6.67×10¯⁹ A
Explanation:
From the question given above, the following data were obtained:
Quantity of electricity (Q) = 2 μC
Time (t) = 5 mins
Current (I) =?
Next, we shall convert 2 μC to C. This can be obtained as follow:
1 μC = 1×10¯⁶ C
Therefore,
2 μC = 2 μC × 1×10¯⁶ C / 1 μC
2 μC = 2×10¯⁶ C
Next, we shall convert 5 mins to seconds. This can be obtained as follow:
1 min = 60 secs
Therefore,
5 min = 5 min × 60 sec / 1 min
5 mins = 300 s
Finally, we shall determine the current in the circuit. This can be obtained as follow:
Quantity of electricity (Q) = 2×10¯⁶ C
Time (t) = 300 s
Current (I) =?
Q = It
2×10¯⁶ = I × 300
Divide both side by 300
I = 2×10¯⁶ / 300
I = 6.67×10¯⁹ A
Thus, the current in the circuit is 6.67×10¯⁹ A