How much power is the 20Ω resistor dissipating?
--
The 10Ω resistor in the figure (Figure 1) is dissipating 35 W of power.
--
Refer to picture
Answers
The power is the 20Ω resistor dissipating if the 10Ω resistor is dissipating 35 W of power is 39.2 W.
The power dissipated by a resistor is given by:
P = I² R ....(1)
where I is the current through the resistor and R is the resistance.
We are told that the resistor of 10Ω dissipates 35 W of power. By rearranging the previous equation (1), and by using these data, we can find the current flowing through the resistor of 10Ω:
\(I_{L} = \sqrt{\frac{P}{R} } = \sqrt{\frac{35}{10} } =1.87A\)
This is the current flowing in the left brаnch of the circuit: we need to find the current flowing in the right brаnch, \(I_{R}\) . The equivаlent resistаnce on the left brаnch is the sum of the two resistаnces since they аre in series:
\(R_{L}\) = 10Ω + 5Ω = 15Ω
We know that this resistance is in parallel with the resistor on the right, \(R_{R}\) = 20Ω, so they have the same potential difference:
\(V_{L} = V_{R}\)
which can be rewritten, by using Ohm's law:
\(I_{L} R_{L} = I_{R}R_{R}\)
Rearranging the equation, we find the current through the right branch:
\(I_{R} = \frac{I_{L}R_{L} }{R_{R} }\)
\(= \frac{ (1.87A)(15)}{20}\)
= 1.40A
And now we can find the power dissipated through the resistor on the right:
P = I² R
= (1.40A)² (20Ω)
= 39.2 W
Your question is incomplete, but most probably your figure can be seen in the Attchment.
To learn more about resistor, click here: https://brainly.com/question/10728846
#SPJ11
Related Questions
The energy transferred to the water in 100 seconds was 155 000 J. specific heat capacity of water = 4200 J/kg °C
Determine the mass of water in the kettle.
Use Figure 10.
Give your answer to 2 significant figures.
Any help would be appreciated
Answers
Answer:
0.37 kg
Explanation:
I'm not a professor myself, but this is how I worked it out:
using the graph, after 100 seconds, the temperature is 100 degrees Celsius.
If we now substitute everything into the specific heat capacity equation, making the mass "m", we would come up with:
4200 = 155000/(m x 100)
If we rearrange and solve for m, we get 0.37 kg.
I'm not sure if I have done this correctly, feel free to correct me.
Hope this helps!
By using the specific heat capacity formula, the mass of water in the kettle is 0.47 kg
Give that the energy transferred to the water in 100 seconds was 155 000 J and the specific heat capacity of water = 4200 J/kg °C
From the graph;
The initial temperature of the water at time zero is 22 degree Celsius
The final temperature of the water at time 100s is 100 degree Celsius
Change in temperature (T) = 100 - 22 = 78 degree Celsius
To determine the mass of water in the kettle, use the heat energy formula below
E = mcT
Substitute all the parameters into the equation
155000 = 4200 x 78 M
Make M the subject of the formula
M = 155000/327600
M = 0.47 kg
Therefore, the mass of water in the kettle is 0.47 kg
Learn more here: https://brainly.com/question/15475909
a 0.341-g wire is stretched between two points 70.5 cm apart. if the tension in the wire is 578 n, find the frequencies of the wire's (a) first, (b) second, and (c) third harmonics. for the first harmonic, the length of the wire is a half wavelength.
Answers
The frequencies of the wire's first, second, and third harmonics are 755 Hz, 1550 Hz, and 4650 Hz respectively.
What is the fundamental frequency?The fundamental frequency can be described as the lowest frequency of a periodic waveform. In terms of a superposition of sinusoids, the fundamental frequency can be defined as the lowest frequency sinusoidal in the sum of harmonic frequencies.
Given the mass of the wire, m = 0.341 g = 3.41 × 10⁻⁴ kg
The length of the wire, L 70.5 cm = 0.705 m
The tension in the wire, T = 578 N
The frequency of the fundamental vibration can be calculated as:
\(\displaystyle \nu =\frac{1}{2} \sqrt{\frac{T}{mL} }\)
\(\displaystyle \nu =\frac{1}{2} \sqrt{\frac{578}{3.41 \times 10^{-4}\times 0.705} }\)
ν = f₁ = 755 Hz
Second harmonic, f₂ = 2f₁ = 2 × 775 = 1550 Hz
Third Harmonic, f₃ = 3 f₂ = 3 ×1150 = 4650 Hz
Learn more about fundamental frequency, here:
https://brainly.com/question/9424813
#SPJ1
The Clean Water Act is inapplicable to ponds that are not adjacent to open water.
True/false
Answers
False. The Clean Water Act can still be applicable to ponds that are not adjacent to open water if they are considered "waters of the United States" under the act, which can include wetlands and other bodies of water that are connected to navigable waters.
The Clean Water Act (CWA) aims to protect all navigable waters in the United States, including ponds that may not be directly adjacent to open water. The CWA regulates the discharge of pollutants and requires permits for certain activities that could potentially harm water quality. Even if a pond is not adjacent to open water, it may still be protected under the CWA if it has a significant connection to other waters, such as through underground or surface water flow.
To know more about Clean Water Act :
https://brainly.com/question/2142268
#SPJ11
what is the volume (in cubic inches) of 3.4 lb of titanium?
Answers
The volume of 3.4 lb of titanium is approximately 20.84 cubic inches.
To determine the volume of 3.4 lb of titanium, we need to know the density of titanium. The density of a substance is defined as its mass per unit volume.
The density of titanium varies depending on its grade and specific form, but a commonly used value is around 4.51 grams per cubic centimeter (g/cm³) or 0.163 lb per cubic inch (lb/in³).
To find the volume, we can use the equation:
Volume = Mass / Density.
Converting the mass of titanium to grams:
3.4 lb * (453.59 g / 1 lb) = 1542.1066 g.
Now, we can calculate the volume:
Volume = 1542.1066 g / 4.51 g/cm³ ≈ 341.53 cm³.
To convert the volume to cubic inches:
Volume ≈ 341.53 cm³ * (0.06102 in³ / 1 cm³) ≈ 20.84 in³.
Therefore, the volume of 3.4 lb of titanium is approximately 20.84 cubic inches.
To learn more about titanium
https://brainly.com/question/18166766
#SPJ11
Answer Questions below
Answers
Answer:
When several resistors are connected in series, the total resistance equals the sum of the individual resistors. In series combination, the current is same through each resistor.
1) V= 60 volt
Total resistance R = R₁ + R₂
= 20 + 10
= 30 Ω
2) Ohms law states that,
\(\sf I =\dfrac{V}{R}\\\\\\I = \dfrac{60}{30}\\\\I = 2 \ A\)
3) Voltage around 10 Ω resistor,
V₂ = I R₂
= 2 * 10
= 20 volt
___________________________________________________
4) Total current = 1 A
5) Total voltage = 8 volt
6) Voltage around R₁ is V₁
R₁ = 2 Ω ; I = 1 A
V₁ = IR₁
= 1 * 2
= 2 volt
7) Resistance 2:
Total resistance = R
Total voltage = V = 8 volt
Total current = I = 1 A
\(\sf R = \dfrac{V}{I}\\\\\\ R = \dfrac{8}{1}\\\\\)
R = 8 Ω
R₁ + R₂ = 8 Ω
2 + R₂ = 8
R₂ = 8 - 2
R₂ = 6 Ω
8)Voltage around R₂:
\(\sf V_2 = IR_2\\\\V_2 = 1*6\\\\\)
V₂ = 6 volt
9) Total R = 8 Ω
_________________________________________________
10) Total V = 12 volt
11) Total R = 8 + 8
= 16 Ω
12) Total current I,
\(\sf I = \dfrac{V}{R}\\\\I = \dfrac{12}{16}\\\\I = 0.75 \ A\)
13) Voltage at each resistor:
V₁ = I*R₁
= 0.75 * 8
= 6 volt
V₂ = I*R₂
= 0.75 * 8
= 6 volt
_______________________________________________________
14) Total R = 40 + 20
= 60 Ω
15) To find V₁, first find total voltage.
I = 2 A ; R = 60 Ω
V = IR
= 2 * 60
= 120 V
V₁ + V₂ =V
V₁ + 80 = 120
V₁ = 120 - 80
V₁ = 40 volt
The michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. fringe shifts occur as the gas is slowly added to the tube. assume 580-nm light is used, the tube is 4.90 cm long, and 164 bright fringes pass on the screen as the pressure of the gas in the tube increases to atmospheric pressure. what is the index of refraction of the gas
Answers
The index of refraction of the gas is n = 1.00097
The ratio between the speed of light in medium to speed in a vacuum is the refractive index. When light travels in a medium other than the vacuum, the atoms of that medium continually absorb and re-emit the particles of light, slowing down the speed light.
The Michelson interferometer is a precision instrument that produces interference fringes by splitting a light beam into two parts and then recombining them after they have traveled different optical paths.
Generally the index of refraction of the gas is mathematically represented as:
n = 1 + (Nλ /2L)
Given:
The wavelength of light is λ = 580 nm = \(580 * 10^{-9} m\)
The length of tube is L = 4.90 cm = 0.049 m
The number of fringes is N = 164
Substituting these values in above equation we get: n = 1.00097
To know more about refraction visit:
https://brainly.com/question/29511041
#SPJ4
Can I have help please , ASAP?
Answers
Could someone help me? A cannon is fired with an initial horizontal velocity of 20 m/s and initial vertical velocity of 25 m/s . After 3s in the air, the canon hits its target. How far away was the canon from its target?
A high jumper leaves the ground with an initial velocity of 10 m/s rightward at an angle of 15 degrees . What is the high jumper's initial horizontal velocity?
function of osteoblasts in the body
Answers
Answer:
They provide structure and support.
Explanation:
An atomic transition produces a photon with a wavelength of 410 nm. What is the energy of this photon in eV?
a) 3 eV. b) 4 eV. c) 5 eV. d) 6 eV.
Answers
The energy of the photon with a wavelength of 410 nm is 3 eV.
Option (a) is the correct answer.
The given wavelength of photon is 410 nm.
We need to determine its energy in eV.
We know that the energy of photon E is directly proportional to the frequency v of light and inversely proportional to its wavelength λ.
Therefore, the relationship between the energy and wavelength of a photon can be represented as:
E = hc/λ
where h is the Planck's constant (6.626 x 10^-34 J s),
c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of light.
We are given the wavelength of the photon as 410 nm, which can be converted to meters by multiplying with a conversion factor 1 nm/10^-9 m.410 nm × (1 m/10^9 nm) = 4.10 x 10^-7 m
Substituting the values of h, c, and λ in the above equation, we can calculate the energy of photon E:
E = hc/λ
= (6.626 x 10^-34 J s)(2.998 x 10^8 m/s)/(4.10 x 10^-7 m)
= 4.83 x 10^-19 J
To convert this energy from joules to electron volts (eV),
we can use the conversion factor 1 eV/1.602 x 10^-19 J.
Energy in eV = Energy in J/1.602 x 10^-19 J
= (4.83 x 10^-19 J)/(1.602 x 10^-19 J/eV)= 3 eV
For similar question on wavelength.
https://brainly.com/question/10750459
#SPJ11
Which of the following would be a question that would allow a student to determine if a wave was a mechanical wave or an
electromagnetic wave?
A) Does the wave travel at different speeds in different materials?
B) Does the wave have compressions and rarefactions?
C) Does the wave transmit energy?
D) Does the wave have a frequency?
Answers
The question that would allow a student to determine if a wave was an
electromagnetic wave are:
Does the wave travel at different speeds in different materials?Does the wave transmit energy?Option A and C are the correct options.
The question that would allow a student to determine if a wave was an
mechanical waves are:
Does the wave have a frequency?Does the wave have compressions and rarefactions?Option B and D are the correct options.
What is Mechanical wave?This refers to a wave that has the ability to transmit its energy through a vacuum. Mechanical waves need a medium in order to send their energy from one location to another. An example of a mechanical wave is sound wave.
What is electromagnetic wave (EM)?This refers to waves that are made as a result of vibrations between an electric field and a magnetic field. Electromagnetic waves are made up of oscillating magnetic and electric fields.
Learn more about electromagnetic wave on
https://brainly.com/question/3001269
#SPJ1
If a waveform crosses the horizontal axis with a positive-going slope of 90 degree sooner than the other waveform, it is said to lag by 90 degree. The voltage across an inductor leads the current through it by 90 degree. Fill in the blank (Show work below each question, when appropriate) What is the period of a 50 kHz sine wave? What is the peak to peak amplitude in the equation v = 35 sin(5000t)? What is the effective or rms voltage if v = 10 sin(lgamma t - 50 degree)? How much power is dissipated by an R-L-C network if the current through it is i = 10 sin((omega t + 30 degree) and the voltage across it is v = 50 sin(omega t - 20 degree)? Based on Figure 15.2. If R = 100 Ohm and theta = 30 degree, what is the power factor?
Answers
The period of a 50 kHz sine wave is 20 µs. The peak to peak amplitude is 70 V. The RMS voltage is approximately 7.07 V. The power dissipated is 250 W, and the power factor is 0.866.
1. Period of a 50 kHz sine wave: T = 1/frequency = 1/(50 x 10^3 Hz) = 20 µs.
2. Peak to peak amplitude: v = 35 sin(5000t), so peak amplitude is 35 V, and peak to peak amplitude is 2 * 35 = 70 V.
3. Effective or RMS voltage: v = 10 sin(lgamma t - 50°), RMS voltage = peak voltage / √2 = 10 / √2 ≈ 7.07 V.
4. Power dissipated: P = Vrms * Irms * cosθ = (50/√2) * (10/√2) * cos(50° - (-20°)) = 250 W.
5. Power factor: If R = 100 Ohm and θ = 30°, power factor = cosθ = cos(30°) = 0.866.
Learn more about power dissipated here:
https://brainly.com/question/32081118
#SPJ11
What is the net force on a 1000N barrel falling in air with an air drag of 400N?
Answers
The net force on the 1000 N barrel falling in air with an air drag of 400 N is 600 N
How do I determine the net force?Net force is given by the following formula:
Net force = force of pull - opposite force
The following data were obtained from the question:
Weight of barrel = 1000 NForce of resistance = 400 NNet force =?The net force on the 1000 N barrel falling in air can be obtained as illustrated below:
Net force = Weight of barrel - Force of resistance
Net force = 1000 - 400
Net force = 600 N
Thus, the net force on 1000 N barrel is 600 N
Learn more about net force:
https://brainly.com/question/18109210
#SPJ1
drill has a power of 450 and drill has a power of 1500, and both are used for 10 seconds, what is the difference in the energy generated?
Answers
Energy = Power x Time
For the first drill with a power of 450 and used for 10 seconds:
Energy = 450 x 10 = 4,500 joules
For the second drill with a power of 1500 and used for 10 seconds:
Energy = 1500 x 10 = 15,000 joules
The difference in energy generated between the two drills is:
15,000 - 4,500 = 10,500 joules
Therefore, the second drill generates 10,500 more joules of energy than the first drill.
Which law of Newton explains why it's harder to stop a truck than a car moving at the same speed.
Answers
Answer:
Inertia
Explanation:
Inertia is also the reason that it is harder to stop a loaded truck going 55 miles per hour than to stop a car going 55 miles per hour. The truck has more mass resisting the change of its motion and therefore, more inertia.
The mass of a density bottle of volume 50cm is 10g when empty.Aluminium turnings are poured into the bottle and the total mass is 60g.Water is then added into the turnings till the bottle is full.If the total mass of the bottle and it's contents is 90g, calculate the density of the aluminum turnings
Answers
Aluminum's density is 1.2 gm/ cm^3.
The distribution of a quantity (such as mass, electricity, or energy) per unit, kind of space; the amount per unit of length, area, or volume. the substance's mass per unit volume.
The density of an object is determined by its mass to volume ratio. Density is commonly measured in grammes per cubic centimetre (g/cm3).
The bottle weighs a total of 90g.
The bottle has a volume of 50cm3.
Total density is equal to mass times volume.
= 90/ 50
= 1.8 gm/cm3 and the mass of water is now 90 - 60 = 30 gm.
50 cm3 of space
Mass/Volume Equals Density
= 30/ 50
= 0.6 gram/cm3 Currently,
The density of aluminium is 1.8-06.
= 1.2 gm/ cm^3
Learn more about density herebrainly.com/question/20109761
SPJ1
Please find the density of question 4,6 and 10!Be sure to show all steps!Thank you!
Answers
Answer:
Explanation:
4. Density of water = 1.01g/ml
6: Mass of silver = 892.5g
8: Mass of 157.8g I gave the answer as mass, even though it asked for weight.
According to Newton’s law of universal gravitation, which statements are true?
Answers
Answer:
where are the statements ??
Which type of radioactive decay has a positive charge?
Answers
The type of radioactive decay that has a positive charge is alpha particles, which are positively charged.
What is radioactive decay?The expression radioactive decay makes reference to the emission of ionizing radiation for a given atom, thereby an unstable atom may lose energy by releasing radiation.
Alpha particles are specific atomic particles consisting of 2 protons (positive charge) and also 2 neutrons that share chemical bonds.
In conclusion, the type of radioactive decay that has a positive charge is alpha particles, which are positively charged.
Learn more about alpha particles here:
https://brainly.com/question/1621903
#SPJ1
Beryllium has a charge of 2, and bromine has a charge of –1. which is the best name for the ionic bond that forms between them? beryllium bromide beryllium bromine bromine berylliumide bromide berylliumide
Answers
The best name for the ionic bond that forms between them is Beryllium Bromide.
We have been provided with data,
Beryllium charge, q = 2
Bromine charge, q = -1
As we know the valance electron of Be is +2 and the valance electron of bromine is -1. Since one is metallic and the other is non-metallic.
Now, when they combine they exchange valance electron, and bromine change into bromide so they form Beryllium Bromide.
So, the best name for the ionic bond that forms between them is Beryllium Bromide.
Learn more about ionic bonds here:
https://brainly.com/question/21464719
#SPJ4
Select the correct answer
Ballon A is either positively, negatively, or not
Balloon C is either positively, negatively, or not
The last question is either attractive or repulsive
Answers
The speed of an object in motion will _____ if the net force acting on it is opposite the direction that the object is moving.
Answers
Answer:
Decrease
Explanation:
Use the diagram to answer the questions below.
1. What is the relationship between seasons in the northern hemisphere and southern hemisphere? Explain.
2. Identify the seasons that are represented in the northern hemisphere and in the southern hemisphere. Explain.
Answers
Answer:
1. because of the tilted axis of earth the seasons in northern hemisphere are the exact opposite of the southern. because the sunrays reaches the earth an different points and when the earth moves around the sun it changes the hemisphere which is tilted to the sun.
2. the northern hemisphere is in Winter and the southern in summer. because the southern is tilted to the sun and the northern not so less sunrays reaches the northern hemisphere.
I'm sorry my explanation are bad
The period of a sine wave is 40ms. What is the frequency?
a.25
b.50
c.75
d.100
Answers
Answer:
So, the frequency of the sine wave is 25 Hz
Explanation:
a ball is swung in a vertical circle such that at one point along its circular path the forces exerted on the ball can be represented by the free body diagram. the magnitude of the tension force exerted on the ball, t, is twice that of the force due to gravity exerted on the ball from earth, fg. what is the location of the ball, and what is the magnitude of the centripetal acceleration of the ball?
Answers
Location of the ball is top of the circle and acceleration is 3g.
Since tension force is more, surely ball is having net force upward and hence, the location of the ball in this case is top of the circle.
Any object that moves in a circle has an acceleration vector towards the center of that circle. This is known as Centripetal acceleration.
total force/ net force when ball is top of the circle is sum of tension force and gravity force.
\(F_{net\) = T + mg
Because of this net force, there is centripetal acceleration towards the center.
so, T + mg = ma
2mg + mg = ma
3mg = ma
a = 3 × force of gravity
To know more about centripetal acceleration here
brainly.com/question/11324711
#SPJ4
It takes 6s for a stone to fall from the top of a building to the ground calculate i.the height of the building ii.the speed of the stone just before it strikes the ground (g=10ms^-2
Answers
Answer:
fffffff
Explanation:
A 37 cm
-diameter conducting sphere is charged to 540 V
relative to V=0
at r=∞
?
Part A
What is the surface charge density σ
?
Express your answer using two significant figures.
Part B
At what distance from the center of the sphere will the potential due to the sphere be only 20 V
?
Express your answer using two significant figures.
Answers
The distance from the center of the sphere at which the potential due to the sphere is only 20 V is approximately 1.93 m.
Part A: The surface charge density σ can be calculated using the formula σ = Q/A, where Q is the charge on the sphere and A is the surface area of the sphere. The surface area of a sphere is given by A = 4πr², where r is the radius of the sphere. Since the diameter of the sphere is given as 37 cm, the radius is 18.5 cm or 0.185 m. The charge on the sphere is given as 540 V relative to V=0 at r=∞.
Since voltage is a measure of potential energy per unit charge, the charge on the sphere can be calculated as Q = CV, where C is the capacitance of the sphere. The capacitance of a sphere is given by C = 4πεr/3, where ε is the permittivity of free space and r is the radius of the sphere.
Substituting the values,
we get C = 4π(8.85x10⁻¹²)(0.185)/3
= 1.72x10⁻¹⁰ F.
Thus, Q = CV = (1.72x10⁻¹⁰)(540)
= 9.30x10⁻⁸ C.
Finally, substituting the values in the formula σ = Q/A,
we get σ = 9.30x10⁻⁸/4π(0.185²)
= 7.66x10⁻⁵ C/m².
Part B: The potential due to the sphere at a distance r from its center can be calculated using the formula V = kQ/r, where k is the Coulomb constant. We need to find the distance at which V = 20 V.
Substituting the values, we get 20 = (9x10⁹)(9.30x10⁻⁸)/r.
Solving for r, we get r = 1.93 m. As a result, the distance from the sphere's center where the potential due to the sphere is only 20 V is roughly 1.93 m.
To know more about the Density, here
https://brainly.com/question/31042487
#SPJ1
Mickey had three substances. He hit each of them with a hammer. A red
substance was malleable and easily flattened. A white crystal cracked but did
not break. A silver substance flattened but did not crack. Which two
statements could be true?
A. The silver substance is a metal,
B. The red substance is ionic,
C. The silver substance is ionic.
I D. The white substance is ionic.
Answers
Answer:
A & D
Explanation:
Took the test already
The two statements that could be true on the basis of the information given in the question are as follows:
The silver substance is metal.The white substance is ionic.Thus, the correct options are A and D.
What are the properties of metal?The properties of the metal are described as follows:
They are good conductors of heat and electricity.They possess high melting points and high density. They are malleable, ductile, and lustrous in nature. They are generally hard as compared to other elements.The silver substance is metal because it is flattened into thin sheets but did not crack. This shows the property of malleability of metals. The white substance is ionic because it is cracked but did not break. It shows that ionic compounds are tough to break.
A red substance is also metal but does not express in any options.
Therefore, the correct options for this question are A and D.
To learn more about the Properties of metal, refer to the link:
https://brainly.com/question/1301107
#SPJ5
When low-voltage thermostat wire is run through the roof to the conditioned space, the thermostat should then be located as close to the ________ as possible
Answers
When running low-voltage thermostat wire through the roof to the conditioned space, it is recommended to position the thermostat as close to the cooling or heating source as possible.
When installing a low-voltage thermostat, it is essential to consider its proximity to the cooling or heating source. Placing the thermostat as close as possible to the source ensures accurate temperature sensing and efficient control of the HVAC system. By locating the thermostat near the cooling or heating equipment, it can better measure the actual temperature experienced by the conditioned space. This helps in achieving precise temperature control and maintaining optimal comfort levels.
Additionally, positioning the thermostat near the source reduces the potential for temperature variations caused by external factors or environmental conditions. If the thermostat is placed farther away from the cooling or heating equipment, it may receive inaccurate temperature readings, leading to inefficient heating or cooling operations.
Learn more about low-voltage thermostat here:
https://brainly.com/question/30823850
#SPJ11.
If a 2 kg rock has 196 j of gravitation potential energy, calculate the height of the rock to the nearest meter.
Answers
Answer: 10 meters
Explanation:
Gravitational potential energy equation= \(E_{G\)=mgh
When we rearrange using Algebra we get \(h=\frac{E_{G} }{mg}\)
Plugging everything in we get \(h=\frac{196J}{(9.80m/s^2)(2kg)}\)
Final answer is 10 meters
The magnetic field of a straight, current-carrying wire is: