(20 pts). The voltage across the terminals of a 1500000 pF (pF = picofarads = 1.0E-12 -15,000/ farads) capacitor is: v=30e sin 30,000 t V for t20. Find the current across the capacitor for t≥0.
Answers
the current across the 1,500,000 pF capacitor is given by the equation i = -30,000e^(-30,000t) sin(30,000t) + 900,000e^(-30,000t)cos(30,000t) A for t ≥ 0.
The voltage across a 1,500,000 pF capacitor can be described by the function v = 30e^(-30,000t) sin(30,000t) V for t ≥ 0. To find the current across the capacitor, we differentiate the voltage function with respect to time.
The current across a capacitor is related to the rate of change of voltage with respect to time. In this case, the voltage across the capacitor is given by the function v = 30e^(-30,000t) sin(30,000t) V for t ≥ 0.
To find the current, we need to differentiate the voltage function with respect to time. Differentiating e^(-30,000t) with respect to t gives us -30,000e^(-30,000t) as the derivative. Applying the chain rule to the function sin(30,000t), we obtain 30,000cos(30,000t) as the derivative.
Multiplying the derivatives with the original voltage function, we get the expression for the current across the capacitor: i = (-30,000e^(-30,000t) sin(30,000t)) + (30,000cos(30,000t) * 30e^(-30,000t)).
Simplifying further, we have i = -30,000e^(-30,000t) sin(30,000t) + 900,000e^(-30,000t)cos(30,000t) A for t ≥ 0.
This equation represents the current across the capacitor for t ≥ 0. The current varies with time and is influenced by the combination of the exponential and trigonometric functions present in the voltage expression.
Hence, the current across the 1,500,000 pF capacitor is given by the equation i = -30,000e^(-30,000t) sin(30,000t) + 900,000e^(-30,000t)cos(30,000t) A for t ≥ 0.
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Related Questions
Wich muscle in your body are affected by alcohol first
Answers
Answer:
Brain
Explanation:
Thirty seconds after your first sip, alcohol races into your brain. It slows down the chemicals and pathways that your brain cells use to send messages. That alters your mood, slows your reflexes, and throws off your balance.We need to support a cylindrical core with a diameter of 8 c m and a length of 22 c m inside a rectangular cavity with dimensions 20 x 20 x 40 c m. Assuming the molten metal has a density of 2. 2 g / c m 3 and the sand core density is 0. 9 g / c m 3 , if each chaplet can support 0. 5 N of force, determine the number of chaplets on top and bottom
Answers
Answer:
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Explanation:
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How can edge computing be used to improve sustainability?
Answers
Explanation:
Utilising the principles of a circular economy and making sure the products they purchase are not manufactured in a way that adversely affects the environment.
The scale of the blueprint tells us the
of drawing to real space?
Answers
Answer:
yes
Explanation:
blueprint of the construction is a prediction of project its is slightly auto cad
Which three items below should a driver be able to identify under the hood of a car?
Answers
Answer:
Engine oil level.
Brake fluid.
Power steering fluid.
5. Refrigeration refers to space temperatures that are below
What the correct answer?
Answers
Explanation:
The term refrigeration means cooling a space, substance or system to lower and/or maintain its temperature below the ambient one (while the removed heat is rejected at a higher temperature). In other words, refrigeration is artificial (human-made) cooling.
Refrigeration, is the act of removing undesirable heat from one thing, substance, or space and transferring it to another object, substance, or space.
What is refrigeration?Refrigeration refers to the process of chilling an area, material, or system in order to decrease and or keep its temperature below that of the surrounding environment.
Refrigeration, sometimes known as chilling, is the act of removing undesired heat from one item, substance, or area and transferring it to another.
The temperature can be lowered by using ice, snow, cooled water, or mechanical refrigeration to remove heat.
Hence,refrigeration, is the act of removing undesirable heat.
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Explain what happened to the pump rate when you increased the stroke volume. Why do you think this occurred
Answers
Answer:
Increase in stroke volume brings about increase in pump rate .the relationship between them is linearly proportional.
Explanation:
Increase in stroke volume brings about increase in pump rate .the relationship between them is linearly proportional.
The rate at which blood is been pumped by the heart depends on the Stroke volume as well as heart rate. The stroke volume gives the quantity of blood that is been pumped by the heart Everytime it beats.
One of the important factor that determine the Cardiac output is Stroke volume. And injection fraction is calculated as (stroke volume/
end-diastolic volume)
A horizontal force P is applied to a 130 kN box resting on a 33 incline. The line of action of P passes through the center of gravity of the box. The box is 5m wide x 5m tall, and the coefficient of static friction between the box and the surface is u=0.15. Determine the smallest magnitude of the force P that will cause the box to slip or tip first. Specify what will happen first, slipping or tipping.
Answers
Answer:
SECTION LEARNING OBJECTIVES
By the end of this section, you will be able to do the following:
Distinguish between static friction and kinetic friction
Solve problems involving inclined planes
Section Key Terms
kinetic friction static friction
Static Friction and Kinetic Friction
Recall from the previous chapter that friction is a force that opposes motion, and is around us all the time. Friction allows us to move, which you have discovered if you have ever tried to walk on ice.
There are different types of friction—kinetic and static. Kinetic friction acts on an object in motion, while static friction acts on an object or system at rest. The maximum static friction is usually greater than the kinetic friction between the objects.
Imagine, for example, trying to slide a heavy crate across a concrete floor. You may push harder and harder on the crate and not move it at all. This means that the static friction responds to what you do—it increases to be equal to and in the opposite direction of your push. But if you finally push hard enough, the crate seems to slip suddenly and starts to move. Once in motion, it is easier to keep it in motion than it was to get it started because the kinetic friction force is less than the static friction force. If you were to add mass to the crate, (for example, by placing a box on top of it) you would need to push even harder to get it started and also to keep it moving. If, on the other hand, you oiled the concrete you would find it easier to get the crate started and keep it going.
Figure 5.33 shows how friction occurs at the interface between two objects. Magnifying these surfaces shows that they are rough on the microscopic level. So when you push to get an object moving (in this case, a crate), you must raise the object until it can skip along with just the tips of the surface hitting, break off the points, or do both. The harder the surfaces are pushed together (such as if another box is placed on the crate), the more force is needed to move them.
In the figure below, block A weighs 20 lb , while block B weighs 10 lb . Friction between the surfaces of the two blocks may be assumed negligible, but there is friction between block A and its underlying surface, and between block B and its adjacent confining surface, both with a kinetic friction coefficient of 0.25. The angle that the inclined face of block A makes with the horizontal is θ= 75 ∘ . A vertical downward force, P= 8 lb is applied to block B .
What is the acceleration of block B?
What is the acceleration of block A?
Answers
Answer:
As P is continually increased, the block will now slip, with the friction force acting on the block being: f = muK*N, where muK is the coefficient of kinetic friction, with f remaining constant thereafter as P is increased.
technician a says grease fittings are found on parts of the steering system. technician b says grease fittings are found on parts of the brake system. who is correct?
Answers
A technician who claims that sections of the steering system have grease fittings is right.
On bearing housings or other mechanical components, grease fittings—also called zerk fittings or grease nipples—serve as lubrication points. Their design enables accurate grease delivery into bearings and other moving systems by establishing a safe connection to a grease gun coupler.
Heavy duty fittings with a flat, low-profile look are called button head grease fittings. They can tolerate a lot of grease because of their strong structure and fast flow rate. They are frequently used in harsh applications like as conveyors, mining equipment, agricultural equipment, and others.
For any application that needs frequent lubrication, ball type fittings are a dependable option.
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If a construction company is considering a new type of material to use in their construction, which factors would they
focus on? (Select all that apply.)
that the new material does the same thing as an existing material but better
that the new material does the same thing as an existing material but cheaper
that the science behind the material be familiar to and understood by its employees
that the properties of the new material meet their construction needs
Answers
I would honestly select every one of the given options. Gor a company evaluating this new material it would be very valuable to hit each of these factors.
Gear friction reduces power and engineers never use more gears than are need it.
A) True
B) False
Answers
Answer:
i personally think it is false
Explanation:
i think this because gear friction reduces next to no power
to be considered a complete warm up cycle, the engine must reach a temperature of
Answers
To be considered a complete warm-up cycle, the engine must reach a temperature that is optimal for its efficient and safe operation.
The specific temperature required for a complete warm-up cycle may vary depending on the engine type, fuel used, and other factors. Generally, the engine should reach its normal operating temperature, which is typically around 195-220 degrees Fahrenheit (90-105 degrees Celsius) for most gasoline-powered vehicles. This temperature allows the engine to operate efficiently, burn fuel effectively, and minimize wear and tear on engine components. However, it's important to consult the manufacturer's guidelines or the vehicle's owner's manual for the recommended warm-up temperature specific to your engine model.
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A thresher is run with a V-belt. The 2 pulleys are 3 inches and 4 inches in diameter. The distance between the pulleys is adjustable. What is the minimum distance between the pulley centers to be able to use a replacement V-belt 40 inches long?
Answers
Answer:
16.4925 inches
Explanation:
Complex machines are defined by
Otheir multiple moving parts.
Otheir use of several materials.
the fact that they are difficult to repair.
the use of digital controls for some features.
Previous Page
Next Page
Answers
Answer:
their multiple moving parts.
Explanation:
as you operate successively more devices in a circuit,
the current _____and the voltage _______
Answers
As you operate successively more devices in a circuit, the current increases and the voltage decreases.
When devices are connected in series in a circuit, the current remains the same throughout the circuit. Therefore, as more devices are added in series, the current flowing through each device will increase. This is because the total current flowing in the circuit needs to pass through each device.
On the other hand, when devices are connected in parallel in a circuit, the voltage across each device remains the same. As more devices are added in parallel, the total current flowing in the circuit increases. According to Ohm's law (V = IR), if the current increases while the resistance (or impedance) remains constant, the voltage across the devices will decrease to maintain a consistent current flow.
It's important to note that these relationships hold true under ideal conditions and assumptions, such as fixed resistance values and a constant power supply. Real-world circuits may have additional factors and limitations that could affect these relationships.
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a certain number k decreased by two
Answers
When brazing, the lowest effective brazing temperatures possible should be used to minimize the effects of heat on the base metal. MAR O True False
Answers
Answer:
False
Explanation:
What Is the power dissipated by a resistor with a current of 0.02a and a resistance of 1000
Answers
Answer:
The power dissipated by a resistor will be: 0.4 watt
Explanation:
Given
Current I = 0.02 AResistance R = 1000 OhmTo determine
The power dissipated by a resistorUsing the formula to determine the power dissipated by a resistor
Power = I²R
= (0.02)² × (1000)
= 0.0004 × 1000
= 0.4 watt
Therefore, the power dissipated by a resistor will be: 0.4 watt
How can you throw a ball as hard as you can and have it come back to you, even if it doesn't
bounce off anything? There is nothing attached to it, and no one else catches or throws it back to
you.
Answers
Answer:
Magic
Explanation:
magic is the answer to everything unexplainable
A horizontal poly crystalline solar panel module has to be investigated by natural cooling. For crystal silicon, the thermal coefficient approximately 0.0045/K is used. Investigate the effect of air velocity on the cooling performance of PV panels at 0-5 m/s air velocities, 25-40 ºC ambient temperatures, and 400-1000 W/ m2 solar radiation
Answers
Solution :
It is given that :
Thermal coefficient = 0.0045/K
Ambient temperature, \($T_a = 25 - 40^\circ$\)
air velocity, v = 0-5 m/s
Solar radiation, \($G= 400-100 \ W/m^2$\)
\($P=50 \ W$\)
Model calculations :
Cell temperature (\($T_c$\))
\($T_c = T_a + \left(\frac{0.25}{5.7+3.8 \ v_w}\right) G$\)
where \($ v_w - v_a = $\) wind speed / air speed
∴ \($T_c = 2 \pi + \left(\frac{0.25}{5.7+3.8 \times 1}\right) \times 400$\)
\($T_c = 35.526 ^\circ$\)
\($\Delta T = T_c -25$\)
= 35.526 - 25
= 10.526 K
Thermal coefficient = 0.0045 x 10.526
= 0.04737
Pv power = \($(1 -C_T) \times P \times \frac{G}{1000}$\)
\($=(1 -0.04737) \times 50 \times \frac{400}{1000}$\)
= 17.0526 W
What effect did the Ice Age have on early humans
Answers
Answer:
The development of homosapiens
Explanation:
People adapted to the harsh weather by creating tools and used land bridges to spread to new regions
In your own words how does an airplane take off?
Answers
Answer:
Explanation:
How does an aircraft take off?
They are lift, weight, thrust and drag. Lift pushes the airplane up. The way air moves around the wings gives the airplane lift. The shape of the wings helps with lift, too.
HOPE THIS HELPS!
The ambient temperature is 70° and the humidity is low. With the AC on, what should the high-side gauge pressure be?
Answers
The high-side gauge pressure can not be calculated as information given here is not sufficient. The correct option is C.
What is high-side gauge pressure?The pressure of the refrigerant on the high side of the air conditioning system, which is the side of the system following the evaporator, is measured by the high-side gauge pressure.
The type of refrigerant used, the size and architecture of the AC system, as well as the surrounding temperature and humidity, all have an impact on the high-side gauge pressure in an air conditioning system.
Low humidity is typically regarded as advantageous for air conditioning systems since it lowers the quantity of moisture in the air, which can facilitate the system's ability to chill the air.
However, it is impossible to precisely calculate what the high-side gauge pressure should be under these circumstances without knowing more details about the particular AC system.
It is preferable to seek advice from a licensed HVAC expert or review the system's manufacturer's specs.
Thus, the correct option is C.
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Your question seems incomplete, the complete question is attached below:
Consider incompressible, fully-developed, steady, two-dimensional flow in a channel of height H driven by a given, constant, pressure gradient dp/dx . Unlike the problem done in class, the channel has two fluid layers, one over the other. Each layer has its own density and viscosity. Find the velocity profiles in the two fluids, assuming that the interface is at height ha. (The boundary conditions at the two walls are no-slip. At the interface between the fluids, the velocity and shear stress are continuous.)
Answers
Answer:
u(y)/U = [(y/H) - ((H²/2μ)(dp/dx)(y/H))] × [(1 - y/H)]
Explanation:
The flow is steady, compressible and planar. Thus the incompressible the continuity equation is given as;
(δu/δx) + (δv/δy) = 0
The velocity(v) in the vertical direction would be zero at both boundaries as well as everywhere in the flow.
This means the continuity equation will dictate that:
∂u
/∂x = 0
It means that u is only just a function of y i.e. u = u(y).
Thus, The Navier-Stokes equation in the y-direction will now be reduced to:
∂p
/∂y = 0
This means the pressure can only then be a function of x.
The Navier-Stokes equation in the x-direction would be;
ρ[(∂u
/∂t) + u(∂u/∂x) + v(∂u/∂y) + w(∂u/∂z)] = -dp/dx + μ(∂²u/∂x²) + v(∂²u/∂y²) + w(∂²u/∂z²)
Recall that v = 0 and u = u(y).
Thus, the Navier-Stokes equation in the x-direction would now become;
∂²u/∂y² = (1/μ)(dp/dx)
We now Integrate twice with respect to y to give;
u(y) = (1/2μ)(dp/dx)y² + c1•y + c2)
At boundary condition of y = 0, C2 will be zero.
Thus;
u(y) = (1/2μ)(dp/dx)y² + c1•y)
At height of y = H, we have;
U = (1/2μ)(dp/dx)H² + c1•H) - - - (eq 1)
Making C1 the subject gives;
c1 = (U/H) - (H/2μ)(dp/dx)
Putting that for c1 in (eq 1) and rearranging to simplify gives us;
u(y)/U = [(y/H) - ((H²/2μ)(dp/dx)(y/H))] × [(1 - y/H)]
TypeError Traceback (most recent call last) Input In [34], in () ----> 1 statistics([1, 1, 1, 1]) Input In [29], in statistics(x) 22 mean= round(np_list.mean(), 2) if str(type(np_list[0]))=="" else [round(i.mean(), 2) for i in np_list] 23 # find standard deviation ---> 24 std= round(unbias_std(np_list), 2) if str(type(np_list[0]))=="" else [round(unbias_std(i), 2) for i in np_list] 25 # find mininum 26 mini= np_list.min() if str(type(np_list[0]))=="" else [i.min() for i in np_list] Input In [29], in (.0) 22 mean= round(np_list.mean(), 2) if str(type(np_list[0]))=="" else [round(i.mean(), 2) for i in np_list] 23 # find standard deviation ---> 24 std= round(unbias_std(np_list), 2) if str(type(np_list[0]))=="" else [round(unbias_std(i), 2) for i in np_list] 25 # find mininum 26 mini= np_list.min() if str(type(np_list[0]))=="" else [i.min() for i in np_list] Input In [21], in unbias_std(lists) 15 def unbias_std(lists): 16 mean=lists.mean() ---> 17 var = sum(pow(x-mean,2) for x in lists) / (len(lists)-1) 18 std = np.sqrt(var) 19 return std TypeError: 'numpy.int32' object is not iterable
statistics([1, 1, 1, 1]) == {'mean': 1, 'std': 0, 'min': 1, 'median', 1, 'max': 1}
statistics([1, 2, 2, 3, 4]) == {'mean': 2.4, 'std': 1.14, 'min': 1, 'median': 2.0, 'max': 4}
TypeError: 'numpy.int32' object is not iterable
statistics([1, 1, 1, 1]) == {'mean': 1, 'std': 0, 'min': 1, 'median', 1, 'max': 1}
statistics([1, 2, 2, 3, 4]) == {'mean': 2.4, 'std': 1.14, 'min': 1, 'median': 2.0, 'max': 4}
good day
when i run the above i get this error message . TypeError: 'numpy.int32' object is not iterable. i need a code to rectify this error message and run all three
thank you.
this code provided below works for the code below to run.
statistics([[1, 2], [3, 4]]) == { 'mean': [1.5, 3.5], 'std': [0.71, 0.71], 'min': [1, 3], 'median': [1.5, 3.5], 'max': [2, 4] }
def calculate(lst):
import numpy as np
if len(lst) != 9:
return "List must contain nine numbers."
x = np.array(lst).reshape(3, 3)
result = {
k: [func(x, axis=ax).tolist()
for ax in [0, 1, None]]
for (k, func)
in zip(["mean", "variance", "standard deviation"],
[np.mean, np.var, np.std])
}
statistics([[1, 2], [3, 4]]) == { 'mean': [1.5, 3.5], 'std': [0.71, 0.71], 'min': [1, 3], 'median': [1.5, 3.5], 'max': [2, 4] }
Answers
It checks the type of the first element in `x` to determine if it's a single list or nested lists, and performs the calculations accordingly. The results are returned in a dictionary format.
"Could you provide a concise code snippet that calculates statistics (mean, standard deviation, minimum, median, and maximum) for a given list or nested lists, handling both cases in a single line?"Here's a version of the code that accomplishes the task in a single line:
import numpy as np
statistics = lambda x: {'mean': round(np.mean(x), 2) if isinstance(x[0], int) else [round(np.mean(i), 2) for i in x],
'std': round(np.std(x), 2) if isinstance(x[0], int) else [round(np.std(i), 2) for i in x],
'min': np.min(x).tolist() if isinstance(x[0], int) else [np.min(i).tolist() for i in x],
'median': round(np.median(x), 2) if isinstance(x[0], int) else [round(np.median(i), 2) for i in x],
'max': np.max(x).tolist() if isinstance(x[0], int) else [np.max(i).tolist() for i in x]}
This lambda function takes a list or nested lists as input (`x`) and calculates the mean, standard deviation, minimum, median, and maximum values.
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The UHRS platform is optimized for Edge/Internet Explorer only. You can still use your favorite browser, but keep in mind that you may experience technical issues when working on UHRS with a different browser than Edge or Internet Explorer.
UHRS is optimized for...
Answers
It is to be noted that all UHRS platforms are optimized for the popular kinds of internet browser applications.
What is a UHRS?The Universal Human Relevance System (UHRS) is a crowdsourcing platform that allows for data labeling for a variety of AI application situations.
Vendor partners link people referred to as "judges" to offer data labeling at scale for us. All UHRS judges are bound by an NDA, ensuring that data is kept protected.
A browser is a software tool that allows you to see and interact with all of the knowledgeon the World Wide Web. Web sites, movies, and photos are all examples of this.
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A particular load is rated to use 2.2 KW at 240 volts. If two of these loads are connected to the same circuit, the total circuit current is that of one load.
Answers
If two of these loads that's rated to use 2.2 KW at 240 volts are connected to the same electric circuit, the total circuit current is double that of one load.
What is an electrical circuit?An electric circuital can be defined as an interconnection of different electrical components, in order to create a pathway for the flow of electric current (electrons) due to a driving voltage.
The components of an electrical circuit.Generally, an electrical circuit comprises the following electrical components:
ResistorsCapacitorsBatteriesTransistorsSwitchesWiresLoads such as fans, light bulb, etc.In this scenario, we can infer and logically conclude that if two of these loads that's rated to use 2.2 KW at 240 volts are connected to the same electric circuit, the total circuit current is double that of one load.
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QUICKK PLEASE WILL MARK BRAINIEST
When the pressure plate pushes down on the clutch disc, what initially happens?
Answers
Answer:
it gives pressure this makes it stay where it has to be and lock it
Explanation:
yan llng alam ko
Explain the difference between dimensioning standards for inches and the standards for millimeters
Answers
Dimensioning standards for inches and millimeters are used to specify the size and location of features on an object or part. The primary difference between these two standards is the unit of measurement used.
Inches are the primary unit of measurement in the United States, and dimensioning standards for inches are based on the imperial system of measurement. This system is based on units of inches, feet, and yards.
Dimensioning standards for inches typically use fractions of an inch, such as 1/8", 1/16", or 1/32", to specify dimensions. These fractions are commonly used because they are easy to measure with common tools like rulers and calipers.
On the other hand, millimeters are the primary unit of measurement in most other parts of the world, and dimensioning standards for millimeters are based on the metric system of measurement. This system is based on units of millimeters, centimeters, and meters.
Dimensioning standards for millimeters typically use decimals, such as 1.5 mm or 3.75 mm, to specify dimensions. Decimals are commonly used in the metric system because they allow for more precise measurements and are easier to work with in mathematical calculations.
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