A 67 ohm resistor, an 8.4 /muF capacitor, and a 31 mH inductor are connected in series in an ac circuit.Part ACalculate the impedance for a source frequency of 300 Hz.Express your answer to two significant figures and include the appropriate units.Part BCalculate the impedance for a source frequency of 30.0 kHz.Express your answer to two significant figures and include the appropriate units.
Answers
To calculate the impedance in the given AC circuit, we can use the formula for the impedance of a series RL circuit:
Z = sqrt(R^2 + (X_L - X_C)^2)
where:
Z is the impedance
R is the resistance
X_L is the inductive reactance
X_C is the capacitive reactance
Given data:
Resistance (R) = 67 ohms
Capacitance (C) = 8.4 μF = 8.4 × 10^(-6) F
Inductance (L) = 31 mH = 31 × 10^(-3) H
Part A: Frequency = 300 Hz
To calculate the impedance at this frequency, we need to determine the values of X_L and X_C.
X_L = 2πfL
X_L = 2π(300 Hz)(31 × 10^(-3) H)
X_L ≈ 0.0588 ohms
X_C = 1 / (2πfC)
X_C = 1 / (2π(300 Hz)(8.4 × 10^(-6) F))
X_C ≈ 636.56 ohms
Now, we can calculate the impedance (Z):
Z = sqrt(R^2 + (X_L - X_C)^2)
Z = sqrt((67 ohms)^2 + (0.0588 ohms - 636.56 ohms)^2)
Z ≈ 636.56 ohms
Therefore, the impedance at a source frequency of 300 Hz is approximately 636.56 ohms.
Part B: Frequency = 30.0 kHz
Similarly, we calculate the values of X_L and X_C at this frequency:
X_L = 2πfL
X_L = 2π(30.0 kHz)(31 × 10^(-3) H)
X_L ≈ 5.89 ohms
X_C = 1 / (2πfC)
X_C = 1 / (2π(30.0 kHz)(8.4 × 10^(-6) F))
X_C ≈ 6365.59 ohms
Now, we can calculate the impedance (Z):
Z = sqrt(R^2 + (X_L - X_C)^2)
Z = sqrt((67 ohms)^2 + (5.89 ohms - 6365.59 ohms)^2)
Z ≈ 6365.59 ohms
Therefore, the impedance at a source frequency of 30.0 kHz is approximately 6365.59 ohms.
In summary:
- Part A: The impedance at a source frequency of 300 Hz is approximately 636.56 ohms.
- Part B: The impedance at a source frequency of 30.0 kHz is approximately 6365.59 ohms.
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Related Questions
______________ is a type of construction where the main load-bearing elements are hung from suspension cables that are then suspended from vertical supports anchored into the ground or a riverbed. a. domino c. ferroconcrete b. cantilever d. suspension please select the best answer from the choices provided a b c d
Answers
The complete statement is "Suspension is a type of construction where the main load-bearing elements are hung from suspension cables that are then suspended from vertical supports anchored into the ground or a riverbed. "
What is suspension?Generally, A suspension speaks to the holding up of material by apply of another force against gravitational force.
In conclusion, Suspension is a type of construction where the main load-bearing elements are hung from suspension cables.
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cargo, such as trucks, that cannot be containerized because it is too large and won't fit in a traditional container or because it exceeds the maximum weight of a container load is called
Answers
The cargo that cannot be containerized because it is too large and won't fit in a traditional container or because it exceeds the maximum weight of a container load is commonly known as break-bulk cargo. The term for this type of cargo is "breakbulk cargo." Breakbulk cargo refers to cargo, such as trucks, that cannot be containerized because it is too large to fit in a traditional container or because it exceeds the maximum weight of a container load.
This type of cargo is typically transported on open flatbed trucks, on specialized trailers or on vessels equipped with specialized cargo handling equipment. Break-bulk cargo can include heavy machinery, large vehicles, and oversized pieces of equipment or machinery.
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What was so surprising about the first extrasolar planets that they forced a change in our theory of planet formation?.
Answers
The first extrasolar planets were so surprising that they forced a change in our theory of planet formation because they were massive like Jupiter but very close to their host star.
Extrasolar planet, also known as exoplanet, any astronomical body located outside the solar system that orbits a star other than the Sun.
Historically, the majority of extrasolar planets discovered appear to have been massive planets orbiting extremely close to their host stars. Astronomers were surprised by these "hot Jupiters," because planetary evolution theories predicted that such large planets should form only at great distances from stars. However, as time passed, more planets of various types were discovered, and it is now clear that hot Jupiters are the absolute minority of extrasolar planets.
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A force of 250 N is used to keep a 65 kg crate sliding across the warehouse floor. What is the coefficient of sliding friction for the crate and the floor?
Answers
The crate moves with velocity vecv in the positive X-direction, as shown in the FBD above. Forces acting upon that crates are A 65 kilogramme crate is being kept from sliding to across warehouse floor by a force pf 250 N.
Writing equal forces in their component parts using Newton's second law
0 for Sigma F x.
0 Rightarrow F-F friction
----(1) \s\
0 for Sigma F y.
-mg=0 rightarrow
——(2)
Equation (1) yields F friction=F.
Rightarrow ___k=F ___k
Rightarrow mu _k=frac F N
Rightarrow mu k=frac fmg
——-from Equation (2)
Rightarrow _k=frac 250*65*9.8=0.39
fr = Fr/N
The resistive frictional force (Fr) divided more by normal of perpendicular energy (N) pushing adjacent objects together yields the friction coefficient (fr), which is a numerical value. Equation fr = Fr/N serves as a representation of it.
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The crate moves with velocity vecv in the positive X-direction, as shown in the FBD above. Forces acting upon that crates are A 65 kilogramme crate is being kept from sliding to across warehouse floor by a force pf 250 N.
Writing equal forces in their component parts using Newton's second law:0 for Sigma F x.
0 Rightarrow F-F friction
----(1) \s\
0 for Sigma F y.
-mg=0 rightarrow
——(2)
Equation (1) yields F friction=F.
Rightarrow ___k=F ___k
Rightarrow mu _k=frac F N
Rightarrow mu k=frac fmg
——-from Equation (2)
Rightarrow _k=frac 250*65*9.8=0.39
fr = Fr/N
The resistive frictional force (Fr) divided more by normal of perpendicular energy (N) pushing adjacent objects together yields the friction coefficient (fr), which is a numerical value. Equation fr = Fr/N serves as a representation of it.
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HELP ME Please!!!!!!
Select ALL that apply
Answers
Answer:
Increase the number of coils.
Explanation:
By increasing the number of coils we can increase the electromagnet.
WHAT FITNESS INJERIES ARE AMOUNG THE EASIEST TO AVIOD
Answers
Answer:
eye ,mouth,and,ears face
Answer:
knee, elbow, and wrist
Explanation:
Immediately after they push away from each other, how does the motion of the mother and daughter change?.
Answers
Both travel rearward, but the daughter accelerates more quickly motion.
Every action has an equal and opposite response, according to Newton's third law of motion. Consequently, when the two skaters collide. They'll both advance backward together.
However, the mother weighs 100 kg, compared to the daughter's 50 kg. due to the daughter's lower mass. Daughter as a result accelerates more quickly in the reverse direction.
As a result, both travel backward, but the daughter does so more quickly than the mothe motionr.
The following is an expression that represents Newton's second law:
a = F/m and F = ma or
According to this law, a body's acceleration is determined by two variables. The first is the body's mass and the net force that is operating on it. The acceleration is directly proportional to the net force acting on the body and inversely proportional to the mass.
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K=(1/2)my^2 v?
A.) K=mv
B.) m= Kv^2
C.) v=sqrt(2k/m)
D.) none of above
Answers
Answer:
The answer is C. The explanation is below.
Please help ASAP please ASAP
Answers
A person rides in an elivator. What is the equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton’s third law?
Answers
Answer:
weight of the person and reaction force according to that weight by the elevator
every action has an equal and opposite reaction
Weight of the person and reaction force according to that weight by the elevator is balanced.
What is Newton's third law?According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.
A person rides in an elivator then the equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton’s third law and are balanced.
Weight of the person and reaction force according to that weight by the elevator is balanced.
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If the current coming out a battery in a series circuit is 2 A, the current going into
the battery on the other side must be
Answers
Answer:
2 A
Explanation:
Kirchhoff Laws to the circuit consisting more than two batteries, the current leaving the battery is as same as entering the battery
electronicsstackexchangecom
the half-life of uranium-238 is 4.5 billion years, after which it decays into radium-226. a 50 kg asteroid contains 14 kg uranium-238 and the rest is radium-226. assume that the entire asteroid was initially made out of uranium-238. what is the age of the asteroid in billions of years?
Answers
Based on the provided informations, the age of the asteroid is calculated to be approximately 3.11 billion years.
Let's use the radioactive decay formula:
N(t) = N₀ x \((\frac{1}{2} )^{\frac{t}{T} }\)
where N(t) is the amount of uranium-238 at time t, N₀ is the initial amount of uranium-238, T is the half-life of uranium-238, and t is the time that has passed since the asteroid was made entirely of uranium-238.
After 4.5 billion years, half of the uranium-238 will have decayed into radium-226. Therefore, the amount of uranium-238 left in the asteroid is:
N(4.5) = N₀ x \((\frac{1}{2} )^{\frac{4.5}{4.5} }\) = 0.5 x N₀
Since the asteroid contains 14 kg of uranium-238, we can set up the equation:
0.5 x N₀ = 14 kg
Solving for N₀, we get:
N0 = 28 kg
This means that the asteroid was initially made up of 28 kg of uranium-238, which has now decayed to 14 kg. The rest of the asteroid (50 - 28 = 22 kg) is radium-226.
Now we can find the age of the asteroid using the radioactive decay formula again:
N(t) = N₀ x \((\frac{1}{2} )^{\frac{t}{T} }\)
14 kg = 28 kg x \((\frac{1}{2} )^{\frac{t}{4.5 billion} }\)
Taking the natural logarithm of both sides, we get:
ln(0.5) = -(t/4.5 billion) x ln(2)
Solving for t, we get:
t = -4.5 billion x ln(0.5) / ln(2)
t ≈ 0.693 x 4.5 billion
t ≈ 3.11 billion years
Therefore, the age of the asteroid is approximately 3.11 billion years.
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briefly explain distribution of charges on conductors
Answers
Answer:
The distribution of charge is the result of electron movement. Since conductors allow for electrons to be transported from particle to particle, a charged object will always distribute its charge until the overall repulsive forces between excess electrons is minimized.
Answer:
This is simply the movement and transportation of electrons
after it i releaed, the electric field intantaneouly change to a contant, uniform electric field 2
pointing due outh. 8.49
after the field change, the proton ha returned to it tarting point. What i the ratio of the magnitude of 2
to the magnitude of 1?
You may neglect the effect of gravity on the proton.
Answers
The ratio of magnitude 2 to magnitude 1 after the electric field change when the proton returned to its starting point.is 1:1
The protons are ejected into an electric field pointing due north, and after 2 seconds the electric field changes to a constant uniform electric field pointing due south. 8.49 seconds after the field change, the proton returned to its starting point.
The protons were initially stationary and accelerated by the electric field. A proton's acceleration is directly proportional to its electric field and inversely proportional to its mass.
Two oppositely directed fields act on the protons, implying a net acceleration of zero. Therefore, the ratio of the magnitude of electric field 2 to the magnitude of electric field 1 is 1:1.
The ratio of magnitude 2 to magnitude 1 is 1:1
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the weight of a body is 420 newton.calculate it's mass
Answers
Answer:
42g
Explanation:
the mass of a body is given by
m=weight/gravity
=420/10
=42
I hope this helps
What does FITT stand for?
Food, Ice cream, Teeth, Toes
Frequency, Ice cream, Time, Teeth
Food, Intensity, Toes, Type
Frequency, Intensity, Time, Type
Answers
Answer:Frequency, Intensity, Time, Type
Explanation: frequency, intensity, time, and type is one way to remember the general guidelines for what should be included in a fitness plan.
What should be the minimum power of a generator supplying 220V to simultaneously supply the following appliances: 1 fridge 1500W, 3 halogen lamps 500W, 1 electric coffee maker 1600W?
☐ 1,8 KVA
☐ 3,3 KVA
☐ 5 KVA
☐ 7,5 KVA
Answers
The minimum power of the generator to power 1 fridge, 3 halogen lamps, and 1 electric coffee maker simultaneously must be 5 KVA.
What is electric power?
Electric power can be defined as the measurement of electric energy flowing in the electric circuit per second.
The electric power consumed by the appliances is given as;
1 fridge = 1500 W3 halogen lamps = 500 W each1 electric coffee maker = 1600 WThe total electric power consumed by the appliances is calculated as follows;
total electrical power consumed = 1500 W + 3(500 W) + 1600 W
total electrical power consumed = 1500 W + 1500 W + 1600 W
total electrical power consumed = 4,600 W
total electrical power consumed = 4.6 kW = 4.6 kVA
electrical power consumed ≈ 5 kW = 5 KVA
Thus, the minimum electrical power to be generated to power all the given appliances simultaneously must be at least 5 KVA.
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what centripetal acceleration is needed to keep a 1 kg ball moving in a circle of radius 2 m at a speed of 5 m/s
Answers
We will have the following:
First, we know that the centripetal acceleration is given by:
\(a_c=\frac{v^2}{r}\)So, the centripetal acceleration is:
\(a_c=\frac{(5m/s)^2}{(2m)}\Rightarrow a_c=\frac{25}{2}m/s^2\)\(\Rightarrow a_c=12.5m/s^2^{}\)What current flows through a hair dryer plugged into a 110 Volt circuit if it has a resistance of 25 ohms?
Answers
Answer:
Ohm's Law says
V=I⋅R.
A bit of algebra says
I=VR So V= 110V 25 Ω=4.4VΩ=A
I hope this helps,
Explanation:
Imagine that you are jumping up and down on a trampoline.
a. Name the store of energy when you are pressing downwards
on the stretchy skin of the trampoline.
b. Name the store of energy when you are high up in the air.
Answers
Answer:
a. When you are pressing downwards the energy stored is potential elastic energy due to the elasticity of the stretchy skin.
b. When you are high up in the air the energy stored is potential energy due to your weight and the distance to the ground.
Hope this Helps!
If you have Any questions Please Ask.
Determine the smallest radius that should be used for a highway if the normal component of the acceleration of a car traveling at 72 km/h is not to exceed 0.8 m/s2 .
Answers
The smallest radius that should be used for a highway to ensure that the normal component of the car's acceleration does not exceed 0.8 m/s² is approximately 500 meters.
To determine the smallest radius that should be used for a highway given a maximum normal acceleration, we can use the centripetal acceleration formula: \(ac = v^2 / r\), where ac is the centripetal acceleration, v is the velocity of the car, and r is the radius of the highway uniform motion. By rearranging the formula, we can solve for the radius.
The maximum normal acceleration is given as 0.8 m/s², and the velocity of the car is 72 km/h.
First, we need to convert the velocity from km/h to m/s:
v = 72 km/h * (1000 m/1 km) * (1 h/3600 s) ≈ 20 m/s.
Using the formula for centripetal acceleration, we can rearrange the formula to solve for the radius (r):
\(r = v^2 / ac\).
Substituting the given values:
\(r = (20 m/s)^2 / (0.8 m/s^2)\).
Simplifying the expression:
r ≈ 500 m.
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a car accelerates from 10.0m/s to 30.0m/s at a rate of 3.00 m/s^2. How far does the car travel while accelerating
Answers
The car travels a distance of 40.0 meters while accelerating.
To determine the distance traveled while accelerating, we can use the kinematic equation:
\[v_f2 = v_i2 + 2a \cdot d\]
Where:
\(v_f\) is the final velocity (30.0 m/s),
\(v_i\) is the initial velocity (10.0 m/s),
\(a\) is the acceleration (3.00 m/s\(2\)),
and \(d\) is the distance traveled while accelerating (which we need to find).
Rearranging the equation, we have:
\[d = \frac{{v_f2 - v2}}{{2a}}\]
Substituting the given values, we get:
\[d = \frac{{30.02 - 10.02}}{{2 \cdot 3.00}} = \frac{{900 - 100}}{{6.00}} = \frac{{800}}{{6.00}} = 40.0 \, \text{m}\]
Therefore, the car travels a distance of 40.0 meters while accelerating.
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Which planet takes 88 days to complete a single orbit, the shortest revolution of any planet around the sun?
Answers
The planet that takes 88 days to complete a single orbit around the Sun, which is the shortest revolution of any planet in our solar system, is Mercury.
Mercury is the smallest planet in the solar system and is the closest planet to the Sun, with a distance of only 36 million miles (58 million kilometers). The planet has a very eccentric orbit, which means that it follows a path that is more elongated than circular. This orbit causes the planet to experience extreme temperatures, ranging from -290°F (-180°C) at night to 800°F (427°C) during the day.
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_________ forces exist between objects that are not in contact with each other.
Regular
Field
Contact
Normal
Answers
Contact forces is the answer
A girl cycles for 3hrs at a speed of 40 km/h. What distance did she travel?
Answers
Answer:
120 km
Explanation:
Answer:
120 km
Explanation: 3x40= 120 :)
If q1=1.6*10^ -19 C and q2=3.2*10^ -19 C and the distance between the charges is 2cm. What is the force between the charges?
Show work please
Answers
The force is 1.1 * 10^-32 N
What is the Coulomb's law?Coulomb's law is a fundamental law in physics that describes the electrostatic interaction between charged particles. It states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, Coulomb's law can be written as:
F = k * q1 * q2 / r^2
where F is the electrostatic force between the charges q1 and q2, r is the distance between the charges, and k is the Coulomb constant, which is approximately equal to 9 x 10^9 N * m^2 / C^2. The force F is a vector quantity, meaning that it has both magnitude and direction, and is directed along the line joining the two charges.
We have that;
F = Kq1q2/r^2
F = 9 * 10^9 * 1.6*10^ -19 * 3.2*10^ -19/(0.02)^2
F = 1.1 * 10^-32 N
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xercise 7:
When a piece of wood is distorted by a karate chop, the top of the board is
compressed while the bottom is stretched as shown. Therefore, you must first
consider the change in length of the bottom of the board where the break
begins. Chantal is a black belt in karate and she breaks a 30.0-cm piece of
wood with a force of 70.0 N, changing it in length by 4.0 x 10-4 cm. What is
the cross-sectional area of the piece of wood? (Ywood = 1.0 x 10° N/m2)
Answer:
Answers
The cross-sectional area of the piece of wood is approximately 1.17 cm^2. To find the cross-sectional area, we can use the formula for stress:
Stress = Force / Area
Rearranging the formula, we have:
Area = Force / Stress
Given:
Force = 70.0 N
Stress = Ywood = 1.0 x 10^9 N/m^2 (1.0 x 10^9 N/m^2 = 1.0 x 10^9 Pa)
Converting the length change from cm to meters:
Length change = 4.0 x 10^-4 cm = 4.0 x 10^-6 m
Now, we can calculate the area:
Area = Force / Stress
Area = 70.0 N / (1.0 x 10^9 N/m^2)
Area = 7.0 x 10^-8 m^2
Converting the area from square meters to square centimeters:
Area = 7.0 x 10^-8 m^2 = 7.0 x 10^-6 cm^2
Therefore, the cross-sectional area of the piece of wood is approximately 1.17 cm^2.
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Which is an example of potential energy?
A baseball player running the bases )
B. A baseball player doing stretches
C. A ball lying on the ground
D. A pitcher throwing a pitch
tell me why
Answers
Answer:
D
Explanation:
He is storing energy to throw it.
Potential Energy = Stored Energy
Speed calculation
1. Your bus is travelling at an average speed of 25km/hr. How long will it take you to get from your bus stop to the shopping centre that is 4km away?
2. If you are able to run at an average of 8km/hr, how far can you run in 3.4 hours?
Answers
1. The time taken to get to the shopping centre is 0.16 hour
2. The distance you can run in 3.4 hours is 27.2 Km
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
1. How to determine the timeThe time taken to get to the shopping centre can be obtain as follow:
Speed of light = 25 Km/hrDistance = 4 KmTime =?Speed = distance / time
25 = 4 / time
Cross multiply
25 × time = 4
Divide both side by 25
Time = 4 / 25
Time = 0.16 hour
2. How to determine the distance Speed = 8 Km/hrTime = 3.4 hoursDistance =?Speed = distance / time
Cross multiply
Distance = speed × time
Distance = 8 × 3.4
Distance = 27.2 Km
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PLEASE HELP
Approximate grams per spoonful:
g
