Answers
(i) The total capacitance for the circuit is 5 μF.
(ii) The total charge stored in the circuit is 1 x 10⁻⁴ C.
(iii) The charge stored in 3μF capacitor is 6 x 10⁻⁶ C.
Total capacitance of the circuit
The total capacitance of the circuit is determined by reolving the series capacitors separate and parallel capacitors separate as well.
C1 and C2 are in series[tex]\frac{1}{C_{12}} = \frac{1}{C_1 } + \frac{1}{C_2} \\\\\frac{1}{C_{12}} = \frac{1}{4 } + \frac{1}{4} \\\\\frac{1}{C_{12}} = \frac{1}{2} \\\\C_{12} = 2 \ \mu F[/tex]
C1 and C2 are parallel to C3[tex]C_{123} = C_{12} + C_3\\\\C_{123} = 2\ \mu F + 2\ \mu F \\\\C_{123} = 4 \ \mu F[/tex]
C(123) is series to C5 and C6[tex]\frac{1}{C_{t} } = \frac{1}{C_{123}} + \frac{1}{C_5} + \frac{1}{C_6} \\\\\frac{1}{C_{t} } = \frac{1}{4} + \frac{1}{6} + \frac{1}{6} \\\\\frac{1}{C_{t} } = \frac{12}{24} \\\\\frac{1}{C_{t} } = \frac{1}{2} \\\\C_t = 2 \ \mu F[/tex]
C7 and C8 are in series[tex]\frac{1}{C_{78}} = \frac{1}{6} + \frac{1}{6} \\\\\frac{1}{C_{78}} = \frac{2}{6} \\\\\frac{1}{C_{78}} =\frac{1}{3} \\\\C_{78} = 3 \ \mu F[/tex]
Total capaciatnce of the circuitCt + C(78) = 2 μF + 3 μF = 5 μF
Total charge stored in the circuitThe total charge stored in the capacitor is calculated as follows;
Q = CV
Q = (5 x 10⁻⁶) x (20)
Q = 1 x 10⁻⁴ C
Charge stored in 3μF capacitorQ = (3 x 10⁻⁶) x (20)
Q = 6 x 10⁻⁶ C
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Related Questions
Topic : Collisions and Conservation of Momentum
1. A 0.2 kg ball moves to the right with a speed of 3 m/s. It hits a 0.5 kg ball, which is at rest? After the collision, the second ball moves to the right with a speed of 1 m/s. What is the speed of the first ball after the collision?
2. A 1000 kg rocket carrying 25 kg of fuel and oxygen rises at a velocity of 305 m/s. If all the mass of fuel and oxygen is burned to form gases of combustion, what is the downward velocity of these gases?
Answers
Momentum questions help
Answers
Answer:
a=25000 kg•m/s
b=1200 kg•m/s
c=what force?
Explanation:
for question a you multiply the mass which is 1000kg with velocity 25m/s.
for question b you multiply the force 60n with time 20s
The higher the wattage of a light bulb, the more work the light bulb does. Group of answer choices
True
False
Answers
Answer:
True.
Explanation:
The higher the wattage the brighter the light. The efficiency of the system was introduced using and coletician lamps
Explain newtons's law of gravitation
Answers
Newton's law of universal gravitation is typically stated that every particle attracts every particle in the universe with force that is directly proportional to the result of their masses and inversely proportional to the square of distance between their centers.
ions, giving canoe 1 a speed of 0.58 m>s and canoe 2 a speed of 0.42 m>s. If the
Answers
Answer:
Draw a table showing the different forms of the first law for the four processes described.
A race car goes forward from 0 to a velocity of 80 m/s in 9.4 s. What is its acceleration?
Answers
Answer:
The average acceleration is about 8.51 m/s
Explanation:
We can use the formula for acceleration to solve.
a = [tex]\frac{velocity_{final} -velocity_{start} }{time}[/tex]
a = [tex]\frac{80-0}{9.4}[/tex]
a = [tex]\frac{80}{9.4}[/tex]
a ≈ 8.51
A ball is dropped off of a building and falls past a window that is 2.2m long. If it takes .28s for the ball to cross the window what is the distance from the top of the building to the top of the window?
Answers
Answer:
oh what do you believe this one
what are the three gases our atmosphere is mainly composed of
Answers
Answer:
the three gases our atmosphere is mainly composed of are nitrogen oxygen and carbon
A car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration
was 4 m/s2, what was its initial velocity? Show all work and units for full credit.
Answers
The initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.
How to calculate initial velocity?The initial velocity of a moving body can be calculated using the following formula:
a = v - u/t
Where;
a = acceleration (m/s²)v = final velocity (m/s)u = initial velocity (m/s?t = time (seconds)According to this question, a car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration was 4 m/s², the initial velocity is calculated as follows:
4 = 55 - u/8
32 = 55 - u
u = 55 - 32
u = 23m/s
Therefore, the initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.
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Write any two differences between series combination and parallel combination of cells.
Answers
Answer:
Your answer is attached above
Hope it helps
TC
have a great time
Two people of equal mass attempt a tug-of-war with a 10 m long rope
while standing on ice. On pulling the rope, they both slide towards
each other. What will be the acceleration for each person?
Answers
Answer:
Explanation:
As the poster has noted above in comment, the acceleration for each person will be the same. This is because when they tugon the rope, there will be tension force on the rope pulling the two persons towards each other. The tension force will be the same for them. As they also have equal mass, by Newton's Second Law of Motion, Force = mass * acceleration, their acceleration will be the same.
478 J of work must be done to compress a gas to half its initial volume at constant temperature. How much work must be done to compress the gas by a factor of 12.0, starting from its initial volume?
I was thinking of using PV = W formula. Like
478 = P(V/2)
956 = PV
W = P(V/12)
12W/V = P
956 = (12W/V)(V)
956 = 12W
W = 79.66667 J
is this correct? could someone please help?
Answers
Answer:
Explanation:
I don't think so. Think about it. To compress the volume by a factor of 2 it takes 956 Joules.
Now you come along and you want to get the pressure for 1/12 of the volume. It's going to take a huge pressure to do that.
I would suggest that you have to use a modified form of the formula.
PV = 956
You need to compress the volume by 1/6
P(V/6) = 956
6 * PV/6 = 6 * 956
PV = 5736 J
Why did I only take 1/6? Because. 956 represents the pressure needed for 1/2 the volume. You need to multiply 1/2 * 1/6 to get 1/12
Twelve identical point charges q are equally spaced around the circumference of a circle of radius R. The circle is centered at the origin. One of the twelve charges, which happens to be on the positive x axis, is now moved to the center of the circle.
A) Determine the magnitude of the total electric force exerted on this charge.
Express your answer in terms of Coulomb's constant k and the variables q and R .
F total = ?
B)Determine the direction of the total electric force exerted on this charge.
Express your answer as an integer.
θ = ? degrees
Answers
Answer:
For B it is 0
Explanation:
I think
An object can not have a charge of?
Answers
Answer:
If an object is electrically neutral it has no net charge becuase it has the same number of protons as it does electrons, which are opposite charges that offset each other. No, that just means that the sum of all its positive and negative amounts of charge equals zero.
Explanation:
A small block, with a mass of 250 g, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, around the loop, and then onto the final level section on the right. The maximum height of the incline is 80 cm, and the radius of the loop is 15 cm.
a.) Find the initial energy of the block.
b.) Find the velocity of the block at the bottom of the loop.
c.) Find the velocity of the block at the top of the loop.
Answers
(a) The initial energy of the block due to its position is 1.96 J.
(b) The velocity of the block at the bottom of the loop is 3.96 m/s.
(c) the velocity of the block at the top of the loop is 3.13 m/s.
Initial energy of the blockThe initial energy of the block due to its position is calculated as follows;
P.E = mgh
P.E = 0.25 X 9.8 X 0.8
P.E = 1.96 J
Conversation of the energyThe velocity of the block at the bottom of the loop is determined by applying the principle of conservation of energy as shown below;
P.Ei + P.Ef = K.Ei + K.Ef
1.96 + 0 = 0 + ¹/₂mvf²
vf² = 2(1.96)/m
vf² = (2 x 1.96) / (0.25)
vf² = 15.68
vf = √15.68
vf = 3.96 m/s
Velocity of the block at top of the loopThe velocity of the block at the top is calculated by applying principle of conservation of energy,
P.Ei + P.Ef = K.Ei + K.Ef
1.96 = mghf + ¹/₂mvf²
where;
hf is the position of the ball at the top of the loop = 2r = 2 x 15 cm = 30 cm = 0.31.96 = 0.25 x 9.8 x 0.3 + 0.5 x 0.25vf²
1.225 = 0.125vf²
vf² = 1.225/0.125
vf² = 9.8
vf = 3.13 m/s
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Hold a spoon such that the water will hit the back of the spoon. The handle of the spoon will be horizontal. Turn on the water, but not full strength though.
Answers
This is an experiment that explains the Bernoulli principle. According to this principle, at the bottom of the spoon, there will be a reduction in pressure.
Explanation of the Bernoulli principleSo the pressure at the bottom of the spoon reduces because the velocity of the water is larger and the height of the column of water is smaller at this part.
So the spoon is attracted to the water at the point of lowest pressure because objects gravitate to low-pressure points.
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how many types air
I need a formula of calculating the s i unti of force
Answers
The si unit of force is newton.
so, F is eqal to m*g
Answer:
F=ma
Explanation:
force is actually a derived quantity
newton is a unit derived from kg.m/s^2
This is from Newton's second law of motion
F=ma
_______ is an SI unit for mass.
A. mass
B. kilogram
C. newton
D. acceleration of gravity
E. weight
Answers
B. kilogram
I hope this helps you
:)
Answer:
B. kilogram
Explanation:
When stated in the unit J s, which is equal to kg m2 s1, the kilogram (kg) is defined by considering the fixed numerical value of the Planck constant h to be 6.62607015 1034 when expressed in the unit J s, which is equivalent to kg m2 s1. The United States Prototype Kilogram 20, a platinum-iridium cylinder held at NIST, is the country's principal mass standard. The kilogram was initially known as the Kilogram of the Archives, and it was defined as the mass of one cubic decimeter of water at its greatest density temperature. It was superseded by the International Prototype Kilogram following the International Metric Convention in 1875, which became the unit of mass without reference to the mass of a cubic decimeter of water or the Archives Kilogram. National Prototype Meters and Kilograms were allocated to each country that signed the International Metric Convention. Learn more about the kilogram's history and current definition. The kilogram (kg) is the only SI basic unit whose name and symbol incorporate a prefix for historical reasons. The SI prefix for 1000 or 103 is "kilo." Prefix names and symbols are attached to the unit name "gram," and prefix symbols are attached to the unit symbol "g," to create names and symbols for decimal multiples and submultiples of the unit of mass. Find out more about this historical oddity.
Units of Mass
10 milligrams (mg) = 1 centigrams (cg)
10 centigrams = 1 decigrams (dg) = 100 milligrams
10 decigrams = 1 gram (g)
10 decigrams = 1000 milligrams
10 grams = 1 dekagrams (dag)
10 dekagrams = 1 hectogram (hg)
10 dekagrams = 100 grams
10 hectograms = 1 kilogram (kg)
10 hectograms = 1000 grams
1000 kilograms = 1 megagram (Mg) or 1 metric ton (t)
A body's mass is a measurement of its inertial property, or the amount of stuff it contains. The force imposed on a body by gravity or the force required to maintain it is measured by its weight. On Earth, gravity accelerates a body downward at around 9.8 m/s2. In the context of weights and measurements, weight is frequently used as a synonym for mass. The verb "to weigh," for example, meaning "to ascertain the mass of" or "to have a mass of." Weight should be phased out in favor of mass, and the term mass should be used when mass is indicated. The kilogram is the SI unit of mass (kg). The weight of a body in a given reference frame is defined in science and technology as the force that causes the body to accelerate at the same rate as the local acceleration of free fall in that reference frame. As a result, the newton is the SI unit for the amount weight defined in this way (force) (N).
When a force is applied to a wheel, its axle exerts a greater force?
Answers
Answer:
That is true.
Explanation:
When the input force is applied to the wheel, as it is with a doorknob, the axle turns over a shorter distance but with greater force, so the mechanical advantage is greater than 1.
Ways in which a teacher plays a role in the literacy development of the learners
Answers
Answer:
encourage all attempts at reading, writing, and speaking
Explanation:
Sample Response: Yes, his graph is correct because it shows that as the average kinetic energy increases, so does the temperature. This is called a direct relationship. What did you include in your response? Check all that apply. As average kinetic energy increases, temperature also increases. The graph shows a direct relationship between average kinetic energy and temperature.
Answers
The graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.
What is average kinetic energy?The average kinetic energy of a gas molecule is the energy possesed by the gas due to its relative motion.
Average kinetic energy of gas molecules has a direct relationship with temperature of the gas molecules. As the gas temperature increases, the kinetic energy of the gas increases and consequently, the speed of the gas increases as well.
Thus, the graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.
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Answer:
Select both
Explanation:
You included all needed information
the distibution on the condutor
Answers
The flow of electrons causes charge dispersion. Due to the ability of conductors to transmit electrons from one particle to another, a charged item will always spread its charge until the overall repulsive interactions between surplus electrons are minimized.
H H H O H O N C C N C C H O H H O H H C H H H ALANINE GLYCINE
What is the difference between these two amino acids?
Answers
the taipei 101 in taiwan is a 1667-foot tall, 101-story skyscraper. the skyscraper is the home of the world's fastest elevator. the elevators transport visitors from the ground floor to the observation deck on the 89th floor at speeds up to 16.8 m/s. determine the power delivered by the motor lift the 10 passengers at this speed. the combined mass of the passengers and cabin is 1250 kg
Answers
The power delivered by the motor lift in elevating the 10 passengers at the speed of 16.8 m/s is 205800 Watts
What is power?Power is simply defined as the rate at which energy is consumed. It can be expressed mathematically as
Power (P) = Force (F) × velocity (v)
P = Fv
How to determine the force Mass (m) = 1250 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) =?F = ma
F = 1250 × 9.8
F = 12250 N
How to determine the power Velocity (v) = 16.8 m/sForce (F) = 12250 NPower (P) =?P = Fv
P = 12250 × 16.8
P = 205800 Watts
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Need help with the following - question 2
Answers
Answer:
Find the change in momentum of the upper stage, that is:
∆p = m(vf - vi)
m being the mass of the upper stage
vf being the final velocity which was given
vi being the initial which was also given
find ∆p
then use ∆p in the same equation
∆p being the answer you got above
m being the mass of the lower stage (given)
vi being the initial velocity (given)
vf being the final velocity of the lower stage which you were asked to find
Explanation:
During a collision the change in momentum (∆p) for both objects is equal regardless of their speeds or masses before or after the equation
A grasshopper jumps at a 63.0 angle with an initial velocity of 4.22 m/s. how far away does it land
Answers
The grasshopper is 1.47 m far away from the point where it jumps to the point where its lands.
To calculate the distance of the landing point of the grasshopper to the point where its jumps, we use the formula of range.
What is horizontal range?Range can be defined as the horizontal distance between the point of projection to the point where the projectile hit the plain again.
R = u²sin2∅/g........... Equation 1Where:
R = Distance between the point of jump and the point at which it landsu = initial velocity∅ = angleg = acceleration due to gravityFrom the question,
Given:
u = 4.22 m/s∅ = 63°g = 9.8 m/s²Substitute these values into equation 1
R = (4.22)²sin(2×63)/9.8R = 1.47 mHence, The grasshopper is 1.47 m far away from the point where it jumps to the point where its lands.
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Examine the image below:
Which term describes the wave phenomenon in the image?
Answers
Answer:
C
Explanation:
Reflection.
Aresultant vector is the *blank* of two or more vectors.
Answers
Answer:
Vector sum.
Adding two things together to make one is usually referred to as a sum, therefore, we can identify this as that.
PLEASE SAVE ME FROM THIS PHYSICS QUESTION (WILL MARK BRAINLIEST)
A 21 kg child is riding a 5.9 kg bike with a velocity of 4.5 m/s to the northwest.
- What is the total momentum of the child and the bike together?
- What is the momentum of the child?
- What is the momentum of the bike?
Answers
Answer:
See Below
Explanation:
Mass of child = 21 kg
Mass of bicycle = 5.9 kg
Total mass = 22 + 5.9 = 27.9 kg
Velocity = 4.5 m/s
1) Total momentum of the child and the bike together
= Total mass * Velocity
= 27.9*4.5
= 125.55 kg m per second
2) Momentum of the child
= Mass of child*Velocity
= 21*5.9
= 123.9 kg m per second
3) Momentum of the bike
= Mass of bike*Velocity
= 5.9*4.5
= 26.55 kg m per second
the radius of a ball is increasing at a rate of 2 mm per second. how fast is the volume of the ball increasing when the diameter is 40 mm
Answers
Step 1: Define an equation that relates the volume of a sphere to its radius.
V = 4/3*π*r3
Step 2: Take the derivative of each side with respect to time (we will define time as "t").
(d/dt)V = (d/dt)(4/3*π*r3)
dV/dt = 4πr2*dr/dt
Step 3: We are told in the problem statement that diameter is 100m, so therefore r = 50mm. We are also told the radius of the sphere is increasing at a rate of 2mm/s, so therefore dr/dt = 2mm/s. We are looking for how fast the volume of the sphere is increasing, or dV/dt.
dV/dt = 4π(50mm)2*(2mm/s)
dV/dt = 62,832 mm3/s