Answer:
The ratio of the ratio of series and parallel combination is n²:1.
Explanation:
The equivalent resistance in case of series combination is given by :
[tex]R_s=R_1+R_2+.....+R_n=nR[/tex] ....(1)
The equivalent resistance in case of parallel combination is given by :
[tex]R_P=\dfrac{1}{R_1}+\dfrac{1}{R_2}+.....+\dfrac{1}{R_n}=\dfrac{R}{n}[/tex] ....(2)
Dividing equation (1) and (2) we get :
[tex]\dfrac{R_s}{R_P}=\dfrac{nR}{R/n}\\\\\dfrac{R_s}{R_P}=\dfrac{n^2}{1}\\\\R_s:R_P=n^2:1[/tex]
So, the ratio of the ratio of series and parallel combination is n²:1. Hence, this is the required solution.
n resistance is each of resistance R is first connected in series and then in parallel , the ratio of series and parallel combination will be [tex]n^{2}[/tex] : 1
In a series combination, the resistances are connected with end to end in contact, such that current flow is equal in all the resistances in the combination. Whereas in the parallel combination, resistances are connected in such a manner that they get an equal voltage across their ends.
Parallel combination. When two or more resistances are connected between the same two points, they are said to be connected in parallel combination. The reciprocal of the combined resistance of a number of resistances connected in parallel is equal to the sum of the reciprocals of all the individual resistances.
if n number of resistances are connected in series combination .
R (equivalent ) = R1 + R2 + R3 + R4 -------- + Rn
= R + R + R + R ---------------- + R
= n*R
if n number of resistances are connected in parallel combination .
1/ R (equivalent ) = 1/R1 + 1/R2 + 1/R3 ---------------- 1/Rn
= 1/R + 1/R + 1/R + --------------------- 1/R
= n/R
R (equivalent ) = R/n
Ration = series combination / parallel combination
= n*R / (R/n) = [tex]n^{2}[/tex] /1
= [tex]n^{2}[/tex] : 1
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3 The atmospheric pressure on a particular
day was measured as 750 mmHg.
Express this in nm-2? ( Assume densityof
mercury is 136ookgm3 and g =10Nkg-1'?
Answer:
102000N/m2
This is the same as 102KN/m2 (where K = 10^3):
Explanation:
The expression 750 mmHg means 750 height the atmospheric pressure will cause mercury to be suspended due to gravity.
If we brought another fluid under investigation under the influence of the atmospheric pressure the height would be different)
Note that 750 mmHg would be the same as 750/1000 m Hg ( when we convert the mm to m)
0.75mHg
Now to get the pressure in N/m2.
We multiply the height of mercury by the density by the acceleration due to gravity.
This is expressed mathematically thus;
H×d × g ; let d- denote density
Hence we have;
H×d × g = 0.75 × 13600 × 10= 102000N/m2;
Now let's look at the flip.side assuming you don't know the formula for what you require you could use the idea of Unit derivation ;
The unit of interest is N/m2
The unit of height is m
The unit of density is kg/m3
The unit of g is Nkg-1
We would observe if we multiply
m × N/Kg × Kg/m3
We would have (m× N × Kg)/(kg×m3)
Kg cancels out, m cancels out one m from me remaining m2.
Hence our unit becomes N/m2
Note : the unit for density is wrongly expressed remember density is Mass/ volume and their units are respectively kg/m3
The atmospheric pressure on a particular day was measured as 750 mm of Hg. this would be in 102000 N/m² ( By Assuming the density of
mercury is 13600 kg/m3 and g =10Nkg-1
What is pressure?The total applied force per unit of area is known as the pressure.
The pressure depends both on externally applied force as well the area on which it is applied.
The mathematical expression for the pressure
Pressure = Force /Area
the pressure is expressed by the unit pascal or N /m²
As given in the problem The atmospheric pressure on a particular day was measured as 750 mm of Hg.
Atmospheric pressure is measured by the formula
P = ρgh
where ρ is the density of the mercury
g is the acceleration due to gravity
h is the height of the liquid
By substituting the respective values
P = 13600*10*(750/1000)
P = 102000 N/m²
Thus, the atmospheric pressure would be 102000 in N/m².
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If a transformer doubles its input voltage, what is the current in the secondary coil if the primary coil is 10 A.
Answer:
20Amp
Explanation:
Using the transformer formula
Vs/Vp = Ns/Np = Ip/Is
Vs/Vp = Ip/Is
Vp is the primary voltage = input voltage
Vs is the secondary voltage = output voltage
Ip is the current in the primary coil
Is is the amount of current in the secondary coil.
If the transformer doubles its input voltage Vp, its output voltage Vs will be
decreased by 2 but the output current will be doubled
Given the input current Ip = 10A, the current in the secondary coil (output current) will be doubled i.e Is = 2(10) = 20A
The current in the secondary coil be "50 A". To understand the calculation, check below.
Current and VoltageAccording to the question,
Current in primary coil, [tex]I_{in}[/tex] = 10 A
We know the relation,
Power = [tex]V_{in} I_{in}[/tex] = [tex]V_{out} I_{out}[/tex]
then,
→ [tex]V_{in} I_{in}[/tex] = [tex]V_{out} I_{out}[/tex]
By substituting the values,
[tex]V_{in}[/tex] × 10 = 2 [tex]V_{in} I_{out}[/tex]
By applying cross-multiplication,
10 = 2 [tex]I_{out}[/tex]
[tex]I_{out}[/tex] = [tex]\frac{10}{2}[/tex]
= 5 A
Thus the response above is correct.
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A sports car accelerates from rest at 4 metre per second squared for 10 seconds , its final velocity would be?
Answer:
40m/s
Explanation:
s= NOT NEEDED
u= 0
v= ?
a=4m/s^2
t=10
find the equation
v=u+at
substitute in values:
v=0+4x10
v=40m/s
Answer:
I'm not sure
Explanation:
Because I dont
A wave has an amplitude of 2 cm. What is its energy (KW)?
Answer:
1.962 × 10⁻³ kW
Explanation:
The energy of a wave of a wave, such as an ocean wave, in regions of considerable water depth given its amplitude in a meter of crest and surface unit is given by the relation;
[tex]E = \dfrac{\rho \times g \times A^2}{2}[/tex]
Where:
ρ = Density of water = 1000 kg/m³
g = Acceleration due to gravity = 9.81 m/s²
A = Wave amplitude = 2 cm = 0.02 m
We therefore have;
[tex]E = \dfrac{1000 \times 9.81 \times (0.02)^2}{2} = 1.962 \ \dfrac{m^2 \cdot kg}{s^2} = 1.962 \ J[/tex]
The energy is power is the energy per second which is gives;
P = E /second = 1.962 J/s = 1.962 W = 1.962 × 10⁻³ kW.
A sphere of radius 0.03m has a point charge of q= 7.6 micro C located at it’s centre. Find the electric flux through it?
Answer:
The electric flux through the sphere is [tex]8.58 *10^{5} \frac{Nm^2}{C}[/tex]
Explanation:
Given
[tex]Radius,\ r = 0.03m\\Charge,\ q =7.6\µC[/tex]
Required
Find the electric flux
Electric flux is calculated using the following formula;
Ф = q/ε
Where ε is the electric constant permitivitty
ε [tex]= 8.8542 * 10^{-12}[/tex]
Substitute ε [tex]= 8.8542 * 10^{-12}[/tex] and [tex]q =7.6\µC[/tex]; The formula becomes
Ф = [tex]\frac{7.6\µC}{8.8542 * 10^{-12}}[/tex]
Ф = [tex]\frac{7.6 * 10^{-6}}{8.8542 * 10^{-12}}[/tex]
Ф = [tex]\frac{7.6}{8.8542} *\frac{10^{-6}}{10^{-12}}[/tex]
Ф = [tex]\frac{7.6}{8.8542} *10^{12-6}}[/tex]
Ф = [tex]0.85834970974 *10^{12-6}}[/tex]
Ф = [tex]0.85834970974 *10^{6}}[/tex]
Ф = [tex]8.5834970974 *10^{5}}[/tex]
Ф = [tex]8.58 *10^{5} \frac{Nm^2}{C}[/tex]
Hence, the electric flux through the sphere is [tex]8.58 *10^{5} \frac{Nm^2}{C}[/tex]
what is the defination of temperature
Answer:
Temperature is a physical property of matter that quantitatively expresses hot and cold
Explanation:
Answer:
Temperature is the degree of hotness or coldness in a body
Explanation:
it is measured by the Average kinetic energy of the body. It is independent of the mass,it's measured in °C(Celsius),K(kelvin),°F(Fahrenheit)
Help me pretty please
Answer:a
Explanation:
Objects A and B have equal amounts volumes and are both traveling at 25 miles per hour. Object A is much denser than Object B. Which object has a greater amount of force and why
Answer:
Object A
Explanation:
Mass of an object= Volume × denstiy
Object having higher density will have greater mass
Next,
According to second law of Newton
Force= mass× acceleration
Force= mass× change is velocity/ time
For an equal amount of time, if change in velocity is equal then object with higher mass will have higher force. Hence, greater density, greater is mass and larger is the force.
Differents between foundamental quantity and derived quantities
Answer:
fundamental quantity can simply be defined as an independent quantity while derived quantity is dependent i.e. the derive their quantities from the fundamental
explain why atmospheric pressure decreases towards higher altitudes
Answer:
At higher elevations, there are fewer air molecules above a given surface than a similar surface at lower levels. ... Since most of the atmosphere's molecules are held close to the earth's surface by the force of gravity, air pressure decreases rapidly at first, then more slowly at higher levels.
Explanation:
happy to help:)
In some creatures, bioluminescence transforms
energy
energy into
OA) heat; light
OB) light; heat
OC) chemical potential; light
OD) light; chemical potential
Answer:
Hey!
Your answer would be option B. Light; heat...
Explanation:
In bioluminescent organisms, the energy is transformed int light energy and less then 20% of the total energy is put into Thermal Radiation!
HOPE THIS HELPS!!
Salt is dissolved in a flask of tap water . Distilling the mixture causes the salt to separate from the water. Which type of energy is required to begin the distilling process
Why will a delivery truck filled with birds sitting on its floor be heavier than a truck with the same birds flying around inside.
The reason why a delivery truck filled with birds sitting on the floor be heavier than a truck with the same birds flying around is because when the birds are sitting on the floor, they are adding their weight to the truck.
Meanwhile, if the birds are flying around they aren't resting on the truck or touching it, so therefore their weight wouldn't be added to the truck.
The mass of the truck will remain the same as you cannot change the mass but the weight will vary depending on the items and objects placed in it.
which of the following terms describes a machine that converts heat into work?
A. Entropy pump
B. Heat engine
C. Heat pump
D. Entropy engine
Answer: A
Heat engine
Explanation: just took the test
One of the earliest forms of load-bearing construction is the ____ method of construction.
Answer:
the materials most often used to construct load bearing walls in large building are concrete ,block or brick . load bearing walls are one of the earliest forms of construction
Apply Newton's first law to music playing on the radio.
Answer: Find the answer in the explanation
Explanation:
The music playing on the radio will be heard through the sound waves coming from the radio.
The travelling wave will obey Newton's first law of motion which state that:
An object or particle will remain at rest or continue its linear motion in a straight line except an external force is applied.
The external force through wind could affect the travelling of the sound waves. Since the wave is longitudinal wave. That is, it needs a medium (air) for its propagation.
A 2 kg billiard green ball is moving toward the 2 kg white billiard ball on a pool table. The green ball is moving with an initial speed of 4 m/s and the white ball is at rest. The two balls collide and move apart. The white ball moves away from the green ball with a speed of -6 m/s. With what speed does the green ball move away?
Answer:
10m/s
Explanation:
collisions results in objects sticking together or not sticking together after collision and so they do move with a common velocity or uncommon velocity respectively.
Parameters from the question:
Mass of green billiard balls, m1=2kg
Mass of white billiard balls, m2=2kg
Initial velocity for green billiard balls ,u1=4m/s
Initial velocity for white billiard balls ,u2 = 0m/s( since the body is at rest meaning it wasn't moving)
Final velocity of green billiard ball after collision is,v1= unknown
Final velocity of white green billiard ball after collision is, V2 = -6m/s.
Now from Newton's third law of motion that action and reaction must be equal and opposite;hence change in momentum before collision would be the same after collision since energy is conserved.
Hence,
m1U1 + m2U2 = m1V1 +m2V2
2×4 + 2×0 = 2×V1 + 2× (-6)
8 = 2V1 -12
8+12=2V1
20=2V1
10=V1
V1=10m/s
The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?
Answer: 29.17m/s^2
Explanation:
Given the following :
Velocity = 525 m/s
Time = 18 seconds
Acceleration = change in Velocity with time
Using the motion equation:
v = u + at
Where v = final Velocity
u = Initial Velocity and t = time
Plugging our values
525 = 0 + a × 18
525 = 18(a)
a = 525 / 18
a = 29.166666
a = 29.17 m/s^2
If a guitar string vibrates at 304hz as its fundamental frequency, what is the frequency of the third harmonic?
Answer:
912 Hz
Explanation:
Third harmonic multiplies the frequency by 3. Harmonics are waves that operate at a frequency that is an integer (whole-number) multiple of the fundamental frequency.
Talia is on a trip with some friends. In the first 2 hours , they travel 100 miles. Then they hit traffic and go only 30 miles in the next hour. The last hour of their trip , they drive 75 miles
Answer:
51 miles/hour
Explanation:
Talia is on a road trip with some friends. in the first 2 hours, they travel 100 miles. then they hit traffic and go only 30 miles in the next hour. the last hour of their trip, they drive 75 miles. calculate the average speed of talia’s car during the trip. give your answer to the nearest whole number.
The average speed would be 51 miles/hour.
The average speed of a moving object is defined as the total distance traveled relative to the total time taken fro the journey. Mathematically, it is given as:
total distance traveled/total time taken.
In this case;
Total distance traveled = 100 + 30 + 75 = 205 miles
Total time taken = 2 + 1 + 1 = 4 hours
Therefore;
Average speed = 205/4 = 51.25 miles/hour
To the nearest whole number = 51 miles/hour
Which of the following is an example of Newton's Third Law of Motion?
a. a person sliding to the right as a car turns left
b. a boy pulling a sled
c. gasses pushing a rocket forward
d. a hockey puck sliding across the ice
Answer:
C. gasses pushing a rocket forward
Explanation:
why is no one helping?
Answer:
First one is hyperopia, second is myopia
Explanation:
Hyperopia is when the image is formed behind the retina.
Myopia is when images are formed infront of the retina.
how can I get good grades in physics?
Answer:
work idk
Explanation:
if you pay attention and make notes of important things in your unit then it'll help get good grade
ask your teacher for extra credit or if there's anything you can do to raise your grade
Prove that the acceleration due to gravity is independent to
the mass of the falling body
Answer:
The force of gravity on an object increases with its mass; thus, the acceleration of gravity is constant.
Explanation:
one can prove this by plugging in values to Newton's 2nd law equation
F = ma, or by using the formula to calculate the force of gravity.
Force of Gravity = GMm/r^2
with G being the gravitational constant, M the mass of the earth, m the mass of the falling body, and r the distance from the earth's center.
Force of Gravity can be written as mg, with g being the acceleration due to gravity.
As we can see, m cancels on both sides, leaving
g = GM/r^2
Generally in physics problems, r will be treated as constant to achieve
g = 9.8m/s^2
what is an atomic nucleus?
It is basically a very tiny region centering around protons and neutrons in the center of a atom
Which musical instruments produce lower pitches
Answer:
bigger instruments make lower pitches
Explanation:
bass drums and other large instruments have low sounds because they're so big. the smaller the instrument is, the higher pitch it's going to have
Answer:
It is mostly the Bass instruments because they use mouthpieces while the wind instrument use reeds and make a higher pitched sounds
Explanation:
Band
What is the compound name for Srl2
Answer:
i have no idea
Explanation:
im am quite sorry
The compound name for SrI₂ is strontium iodide.
A compound is a substance formed when two or more elements chemically combine together. It is composed of atoms of different elements that are held together by chemical bonds. Compounds have unique chemical and physical properties that are different from the elements they are made of.
Strontium iodide is an ionic compound consisting of strontium cations (Sr2+) and iodide anions (I-). When strontium (Sr) and iodine (I) react, they undergo a chemical reaction to form SrI₂.
Therefore, The name of the compound SrI₂ is strontium iodide.
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A train takes 2h to reach station B from station A and 3h to return back to A.The distance between the station is 200km, then its average speed would be
Answer:
80km/hr
Explanation:
Total distance: 400km
Total time 5 hours
Average speed= distance/time
400/5= 80km/hr
When a rocket accelerates through space is there work done?
How much energy sun release in the form of radiation
Answer: Hope this is right
4 x 10^26 watts every second.
Explanation:
The sun, like all active stars, is a massive hydrogen-burning furnace producing huge amounts of light, heat and radiation, about 4 x 10^26 watts every second.