in a series lrc circuit, the frequency at which the circuit is at resonance is f subscript 0 . if you double the resistance, the inductance, the capacitance, and the voltage amplitude of the ac source, what is the new resonance frequency?

Answers

Answer 1

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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Related Questions

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

Answers

the answer is 165J

1/2×3.9×(9.2)^2 = 165J

What specific type of tide has the smallest difference between high and low tide?

Answers

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.

will give brainlist.

Answers

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.

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

Answers

The answer is the starting friction

Answer:

the coefficient of friction

A meter is larger than a
A.
hectometer
B.
kilometer
C.
decimeter
D.
dekameter

Answers

I think the best answer is Decimeter

A simple pendulum with a length of 2 m oscillates on the Earth's surface. What is the period of oscillations?

Answers

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

Explain a situation where chemical energy is transformed into light and heat energy.

Answers

Answer:

fire

Explanation:

burning the the oil

what happens to the current in a circuit if a 1.5 volt battery is removed and is placed by a 9 volt battery?

Answers

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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Magnetic objects will attract to a magnet even if they are far from it.

Yes or No

Answers

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.

what causes wind to flow ?​

Answers

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!

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If two micro coulomb of charge is flowing in a circuit for 5 minutes. What is the amount of current in the circuit?

Answers

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

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?

Answers

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.

Which nucleus completes the following equation?

Answers

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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Explain in term of forces, why duck is floating on the water

Answers

Answer:

The duck floats on water because his/her density is less than the density of water

Explanation:

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.​

Answers

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 ^^

Name the part of the respiratory system which is shared with the digestive system. What is the common name of that part?

Answers

Answer:
The oropharynx is a passageway that is shared between the respiratory and digestive systems.

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?

Answers

Answer:

South

Explanation:

I guessed and got it right

who won the 2020-2021 Nfl Mvp Award

Answers

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).

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

Answers

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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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).

Answers

Answer:

27 J

Explanation:

Which type of map best shows the three dimensions of Earth’s surface?

Answers

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.

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.​

Answers

The distance between successive crests (or successive troughs) is defined as the wavelength. The time elapsed between the crossings of two successive crests through a given point is the period of the wave.The Velocity of propagation (Vp) of a cable is the speed at which an electrical signal can propagate through the cable in comparison to the speed of light. For example, in a vacuum, the velocity of propagation would be 100% or 1 (depending on how it is represented).The wave period is the time it takes to complete one cycle. The standard unit of a wave period is in seconds, and it is inversely proportional to the frequency of a wave, which is the number of cycles of waves that occur in one second.

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?

Answers

Answer:

its the last question

Explanation:

Thats because erosion takes away stuff

a Q. No. la sap
What is derived is one second time?

Answers

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

Answers

Static Friction is the force that keeps an object at rest
example: pushing against a heavy box but it isnt moving due to the weight of the box and gravity pulling it down

Rolling friction is a resistive force that slows down something thats rolling such as a ball or a wheel
example: a rolling soccer being slowed down from grass

Sliding Friction is the friction created from two object sliding against eachother, just like kinetic friction. It is intended to make the object stop
example: A sled sliding down a hill against snow

Fluid Friction is the force that resist motion in fluid or something moving around a fluid.
example: water pushing against a swimmer when swimming through it

A flute plays a note with a frequency of 266Hz. What is the speed of sound if the wavelength is 1.3m?

Answers

Explanation:

Wave speed  =  (frequency)  x  (wavelength)

                      =  (266 /sec)  x  (1.3 meters)

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.

Answers

3 reasons water needed for earth: keep oceans going, liquid, and help earth with poloution

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

Answers

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.

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

Answers

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.

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)

Answers

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]

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