Answers
Hi there!
Recall the following.
Capacitors in series:
[tex]C_T = \frac{1}{C_1} + \frac{1}{C_2} +...+ \frac{1}{C_n}[/tex]
Capacitors in parallel:
[tex]C_T = C_1 + C_2 + ... + C_n[/tex]
Begin by solving for the resulting capacitance of both paths.
Path on the left:
[tex]\frac{1}{C_T} = \frac{1}{2C} + \frac{1}{C} = \frac{3}{2C}\\C_T = \frac{2C}{3}[/tex]
Path on the right:
[tex]\frac{1}{C_T} = \frac{1}{C} + \frac{1}{3C} = \frac{4}{3C}\\\\C_T = \frac{3C}{4}[/tex]
Now, since we ADD capacitors in parallel, we can add the resulting capacitances together:
[tex]C_T = \frac{2C}{3} + \frac{3C}{4}[/tex]
Substitute in 12 F for C and solve.
[tex]C_T = \frac{2(12)}{3} + \frac{3(12)}{4} = \frac{24}{3} + \frac{36}{4} = 8 + 9 = \boxed{17F}[/tex]
Related Questions
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
42
Answers
Answer:
Explanation:
Writing out the Newton's Law pf Cooling:
dT/dt = -k * (T - A),
where T is the temperature of the coffee, A is the room temperature, and k is a positive constant.
If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C,
T = 100
A = 25
dT = 100 - 90 = 10
dt = 1
Putting the figures into the equation:
10/1 = -k * (100 - 25)
k = -10/75°C
After 4 minutes, dT/4 = 10/75 (100 - 25) = 10
dT = 40
Temperature after 4 minutes = 100 - 40 = 60°C
The temperature of a cup of coffee varies according to Newton's Law of Cooling, the temperature of the coffee after 4 minutes is approximately 67°C.
To tackle this problem, we can apply Newton's Law of Cooling's differential equation and solve it using variable separation.
dT/dt = -k(T - A)
At t = 0 (initial condition): T = 100°C
At t = 1 minute: T = 90°C
dT/dt = -k(T - A)
At t = 0: dT/dt = -k(100 - 25)
So,
-10 = -k(75)
k = 10/75
Separating variables and integrating, we have:
1/(T - A) dT = -k dt
∫(1/(T - A)) dT = ∫(-k) dt
ln|T - A| = -kt + C
ln|100 - 25| = 0 + C
ln|75| = C
So, the equation will be:
ln|T - A| = -kt + ln|75|
ln|(T - 25)/(75)| = -kt
Now,
ln|((T - 25)/(75))| = -(10/75)(4)
|((T - 25)/(75))| = [tex]e^{(-40/75)[/tex]
T - 25 = ± 75 * [tex]e^{(-40/75)[/tex]
T = 25 ± 75 * [tex]e^{(-40/75)[/tex]
T ≈ 25 ± 42.42
Therefore, the temperature of the coffee after 4 minutes is approximately:
T ≈ 25 + 42.42 = 67.42°C
Thus, the temperature of the coffee after 4 minutes is approximately 67°C.
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A force of 20N acts upon of 5 kg. Calculate the acceleration of the object.
Answers
Answer:
Acceleration= 4 m/s
Explanation:
F = ma
20 N = (5kg)(a)
4m/s = a
If a 50 N block experiences a force of kinetic friction of 11 N
from the surface of a table, then what is the coefficient of
kinetic friction () between the block and the table?
Answers
Answer:
F(friction) = μ M g definition of frictional force
μ = F / (M g) = 11 N / 50 N = .22
The co-efficient of kinetic friction between the block and the table is 0.22.
To find the co-efficient of friction, the given values are,
Friction force - 11 N
Normal force - 50 N
What is Friction force?The forces acting with the force of gravity, normal and the force of friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.We know that the frictional force is the force that opposes the motion of an object.Frictional Force refers to the force generated by two surfaces that contact and slide against each other.F(friction) = μ M g F - frictional forceM g = N - Normal force ( M g - Mass and the acceleration due to gravity)μ - Coefficient of frictioncoefficient of kinetic friction = friction force / normal forceμ = 11 N / 50 N
= 0.22
Thus, the co-efficient of the kinetic friction is 0.22
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a point charge q is held stationary at the origin, its electric potential of 2.8 x 10^4 V is measured at 1.1m away from the point charge. what is the magnitude of the point charge q
Answers
The magnitude of the point charge held stationary at the origin and at given electric potential is determined as 3.42 x 10⁻⁶ C.
Magnitude of the charge
The magnitude of the charge held stationary at the origin is calculated as follows;
V = kq/r
where;
k is Coulomb's constant = 9 x 10⁹ Nm²/C²q is the magnitude of the charge = ?r is the distance of separation = 1.1 mSubstitute the given parameters into the above equation and solve magnitude of the point charge.
kq = Vr
q = Vr/k
q = (2.8 x 10⁴ x 1.1)/(9 x 10⁹)
q = 3.42 x 10⁻⁶ C
Thus, the magnitude of the point charge held stationary at the origin and at given electric potential is determined as 3.42 x 10⁻⁶ C.
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what's the biggest animal ever
Answers
Blue whale was the biggest animal ever
Hope that helped!
A car accelerates from rest. It reaches a velocity of 25m/s in 10 seconds. What was the cars acceleration
Answers
Answer:
a = 2.5 m/s^2
Explanation:
u = 0
v = 25
t = 10
(using first eq. of motion)
a = (v - u) /t
a = (25 - 0) /10
a = 25/10
a = 2.5 m/s^2
If Benjamin skated 80 kilometers at 10 kilometers per hour, how long was Benjamin skating? Express your answer in minutes
A: 240 minute
B: 480 minutes
C: 180 minute
Answers
Answer:
480
Explanation:
first simplefie 80 ÷10
now
8x 60
480
Cameron and Morgan are each holding a bar magnet with opposite poles facing each other. They walk in opposite directions until they stop feeling their magnet pull towards the other one What can they conclude about the distance between them when they stop feeling their magnets pull?
A. They are outside the magnetic field of their magnets.
B. The distance made the magnets' force stronger.
C. The magnetic field was weaker when they were close.
D. The magnetic fields are far enough apart to change direction.
Answers
Answer:
a.
Explanation:
i did a quizz for it im sorry if im wrong
Ms. Haddox was hiking in the Grand Canyon. She traveled 61 meters in 647 seconds then she traveled 9 meters in 852 seconds, and on the third leg of the hike she traveled 32 meters in 805 seconds. What is the average speed of Ms. Haddox during her hike?
Answers
Answer:
45
Explanation:
A grasshopper is an insect that goes through three distinct stages during its life cycle. The life cycle of a grasshopper is an example of which one of the following?
A. Quick metamorphosis
B. Slow metamorphosis
C. Complete metamorphosis
D. Incomplete metamorphosis
Answers
Answer:
B is the answer bc it's no way c an a and d can maybe c
An object on the surface of the earth weighs 90 lb. At two earth radii above the surface, It will welgh:
270 lb.
10 lb.
90 lb.
30 lb.
Answers
A golf ball is hit 36 m/s at an angle of 40° with the horizontal. What is the vertical component of the ball’s velocity?
A. 15 m/s
B.26.7 m/s
C. 23.1 m/s
D. 36 m/s
Answers
Answer:
ززث ع ثذآرثفاقآثہ تجفہجاءآڑجءبیجدءچءاءاڑڑشءڑدءحابڑءحبزیاڑچءازءچزیبزچدزچ،چدز،ڈزیجپا،جڈزیجڈیبزءفحدءڈحضغ دح دفھچءچدجءیچزءچددفحءدفءاڑحعخ حدھغچغھافءاڑاڑہشھدفڈچقڈ،شڈیچڑ
A constant voltage of 11.00 V has been observed over a certain time interval across a 1.20 H inductor. The current through the inductor, measured as 1.00 A at the beginning of the time interval, was observed to increase at a constant rate to a value of 7.00 A at the end of the time interval. How long was this time interval
Answers
Answer:
0.65 sec
Explanation:
V = L*ΔI/Δt
so Δt = L*ΔI/V = 1.20 * (7.00 - 1.00)/11.00 = 0.65 sec
A 400 N student climbs up a 3.0 m ladder in 4.0s.
a)How much work does the student do?
b)What is the student’s power output?
Answers
Answer:
We are given that the student has a weight of 400N
So, the force applied by the boy has to be added to 400 since he has to apply force to keep his body on the stairs
We are given:
u = 0 m/s
v = v m/s
t = 4 s
a = a m/s/s
s = 3 m
w = 400 N
Converting to Mass
w = m * g (where m is the actual mass and g is the value of gravity)
letting g = 10m/s/s
400 = 10 * m
m = 40 kg
Finding Acceleration:
From the second equation of motion:
s = ut + (a*t*t) / 2
3 = (0)(4) + (a)(4)(4)/2
3 = 8a
a = 3/8 m/s/s
Force Applied by the Student:
Now that we have the acceleration, we can find the force applied by the student to go up the stairs
F = ma (Newton's second law of motion)
F = (40)(3/8)
F = 15 N
Hence, the student is applying 15N to climb up the stairs and another 400 N to support his mass
Total Force applied by the Student:
F(total) = F(climbing) + F(weight)
F(total) = 15 + 400
F(total) = 415 N
Work done by the Student:
Work done = F.S (dot product of force applied and displacement)
Work done = (415)(3)
Work done = 1245 Joules
Power Output of the Student:
power output is the amount of work done per second
Power = Work Done / t
Power = 1245 / 4
Power = 311.25 Watt
**note that the this is just the power consumed by the student to climb the stairs**
Which is the best reason Venus' temperature is approximately uniform, hot on both day and night sides?
plate tectonics
retrograde rotation
atmospheric convection
planetary differentiation
differential rotation
Answers
The main reason Venus has a "uniform" temperature is atmospheric convection.
What is atmospheric convection?Atmospheric convection is a term to refer to the difference in temperature, in the atmospheric layer. In short, it refers to the movement of air bodies of different temperatures in the atmosphere of a planet.
In the case of Venus, atmospheric convection contributes to this planet's temperature uniformity because hot air is in constant contact with the planet's surface, preventing it from cooling.
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Can someone help me please :( ASAP. Also I’m sorry if it’s small
Answers
Answer:
Graph #2
Explanation:
Notice, on the position time graph, there is a constant rate of change. This means that there is a constant velocity, meaning it's a straight line. The line is decreasing so the velocity will be negative.
You have been hired by a "storm chaser" as an assistant. This individual loves to find locations at which tornadoes and violent lightning storms are occurring. While there, he takes photographs and makes electromagnetic measurements. You are on a chase with him to a lightning storm in Florida. He explains to you that a cloud layer and the ground can be considered as the plates of a capacitor that stores charge, with the ground being charged negatively. The capacitor continuously leaks charge due to the free charges in the air between the plates. In thunderclouds, however, various processes result in charge distributions that eventually lead to lightning, a phenomenon that delivers negative charge to the ground. Therefore, the lightning recharges the capacitor. Ahead of you is a cloud layer that the storm chaser measures to be of area 2.00 km2 and height 10 km above the ground. He then uses a special apparatus called a field mill to measure that the electric field under the cloud is 4.00 â 10^6 N/C.
He asks you to do a quick calculation of the charge on the cloud-ground capacitor (in C), so you can know what to expect if there is a bolt of lightning.
Answers
Answer:
The value is [tex]q = 70.8\ C[/tex]
Explanation:
From the question we are told that
The area is [tex]A = 2.0 \ k m^2 = 2000000 \ m[/tex]
The height is [tex]h = 10 \ km = 10000 \ m[/tex]
The electric field is [tex]E = 4.0*10^{6} \ N/C[/tex]
Generally the electric field is mathematically represented as
[tex]E = \frac{q}{A * \epsilon_o }[/tex]
Here [tex]\epsilon_o }[/tex] is the permitivity of free space with value
[tex]\epsilon_o } = 8.85 *10^{-12} \ N \ m^2 /C^2[/tex]
=> [tex]4.0*10^{6} = \frac{q}{2000000 * 8.85 *10^{-12} }[/tex]
=> [tex]q = 70.8\ C[/tex]
A tennis player hits a ball 2.0 m above the ground.
The ball leaves his racquet with a speed of 25.0
m/s at an angle 5.2° above the horizontal. The
horizontal distance to the net is 7.0 m, and the net
is 1.0 m high. By how much does the ball clear the net?
Answers
Explanation:
initial height, yo = 2 m
initial velocity, u = 20 m/s
angle of projection,θ = 5 degree
distance of net = 7 m
height of net = 1 m
Let it covers a vertical distance y in time t .
Use Second equation of motion for vertical motion
As it hits the ground in time t, so put y = 0
Taking positive sign, t = 0.84 s
The ball travels a horizontal distance x in time t
X = 20 Cos5 x t
X = 16.76 m
As this distance is more than the distance of net, so it clears the net.
Let t' be the time taken to travel a horizontal distance equal to the distance of net
7 = 20 cos5 x t'
t' = 0.35 s
Let the vertical distance traveled by the ball in time t' is y'.
So,
y' = 2.008 m
So, it clears the net which is 1 m high.
It clears the net by a vertical distance of 2.008 - 1 = 1.008 m and horizontal distance 16.76 - 7 = 9.76 m
your welcome, and have a great day.
How does the magnitude of the electrical charge on objects affect the
electric force between them? *
As the charge increases, the force decreases in strength
As the charge increases, the force becomes more negative
As the charge increases, the force increases in strength
Answers
Answer:
As the charge increases, the force decreases in strength
Explanation:
Experiments with electric charges have shown that if two objects each have electric charge, then they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them...
Answer: The correct answer is: As the charge increases, the force increases in strength
Explanation:
Its kind of the obvious answer and other people don't know how to answer correctly. This was years ago but if anyone needs the answer today then here it is....
the density of gold is 19kg/cm³ find the volume of a) 38g b)0.095kg. solve this question and give explanation i will mark you as brainlist
Answers
Answer:
a) 0.002 cm³
b) 0.005 cm³
Explanation:
density d = 19 kg/cm³
Given mass m, find volume V
The definition of density is
d = m/V
so V = m/d
a) m = 38 g = 0.038 kg
so V = 0.038/19 = 0.002 cm³
b) m = 0.095 kg
V = 0.095/19 = 0.005 cm³
What happens to pressure if temperature increases?
Answers
The current is 0.720 A in a circuit in which a battery of emf 12.0 V is connected to a resistor of resistance 14.5 Ω. Find the potential difference across the terminals of the battery.
Answers
Answer:
explain the meaning of the term work done and give an example of where work is done
what were formed after the big bang theory?
Answers
Answer:
neutrons protons electrons
Explanation:
after the Big Bang, the universe was filled with neutrons, protons, electrons, anti-electrons, photons and neutrinos.
What kind of nutrient comes from water and air?
mineral nutrients
non-mineral nutrients
Answers
Answer:
The answer is non-mineral nutrients.
Answer:
non-mineral nutrients.
Explanation:
During meiosis maternal and paternal chromosomes that occur in a gamete line up and exchange segments in a process called crossing over. Then they are randomly shuffled as the cell divides. This process results in
Answers
Explanation:
Crossing over is the swapping of genetic material that occurs in the germ line. During the formation of egg and sperm cells, also known as meiosis, paired chromosomes from each parent align so that similar DNA sequences from the paired chromosomes cross over one another.
Answer:
Explanation:
After cross-over, the chromosomes are randomly shuffled to the daughter cells as the cell divides. This process results in in gametes that with unique combinations of chromosomes and is called independent assortment.
What is the correct definition of a circuit?
Answers
Hope this helps. Have a good day!
it is more difficult to climb a vertical staircasethan a slanted one
Answers
Answer:
it's because of friction
Explanation:
In slanted one the friction will be less so it would be more difficult to climb
Time management skills include
A. A personal mission statement, prioritizing, and deep breathing.
B. Setting objectives, knowing your limits, and reviewing.
C. Avoiding distractions, setting dreams, and budgeting time.
D. Budgeting time, avoiding stress, and prioritizing.
Answers
Answer:
D.
Explanation:
Budgeting time, avoiding stress, and prioritizing.
will there be a mega tsunami like in the movie tidal wave from 2009?
Answers
If you double the size of the larger pad of a hydraulic system, how much less force do you need to apply to the smaller pad to achieve the same result?
A. 1/4 the force
B. 1/2 the force
C. 1/3 the force
D. The same amount of force
Answers
Answer:
A - ¼ of the force
Explanation:
According to Pascal’s principle, there's an equation that relates the force to area ratios in hydraulic systems, provided that the pistons will be at the same vertical height and that the friction in the given hydraulic system is negligible. This formula is;
F1/A1 = F2/A2
Thus;
F1/F2 = A1/A2
Where F is the applied force and A is area of pad.
Now, we are told that the size of the pad is doubled. Thus;
If the initial radius is r, then the new radius is 2r
Thus;
F1/F2 = (πr²)/(π(2r)²)
F1/F2 = r²/4r²
F1/F2 = ¼
F1 = ¼F2
Thus, the answer is ¼ of the force