Parallel computing is a type of computation in which many calculations or processes are carried out simultaneously. Large problems can often be divided into smaller ones, which can then be solved at the same time. There are several different forms of parallel computing: bit-level, instruction-level, data, and task parallelism. Parallelism has long been employed in high-performance computing, but has gained broader interest due to the physical constraints preventing frequency scaling. As power consumption (and consequently heat generation) by computers has become a concern in recent years, parallel computing has become the dominant paradigm in computer architecture, mainly in the form of multi-core processors.Parallel computing is closely related to concurrent computing—they are frequently used together, and often conflated, though the two are distinct: it is possible to have parallelism without concurrency (such as bit-level parallelism), and concurrency without parallelism (such as multitasking by time-sharing on a single-core CPU). In parallel computing, a computational task is typically broken down into several, often many, very similar sub-tasks that can be processed independently and whose results are combined afterwards, upon completion. In contrast, in concurrent computing, the various processes often do not address related tasks; when they do, as is typical in distributed computing, the separate tasks may have a varied nature and often require some inter-process communication during execution.
Parallel computers can be roughly classified according to the level at which the hardware supports parallelism, with multi-core and multi-processor computers having multiple processing elements within a single machine, while clusters, MPPs, and grids use multiple computers to work on the same task. Specialized parallel computer architectures are sometimes used alongside traditional processors, for accelerating specific tasks.
In some cases parallelism is transparent to the programmer, such as in bit-level or instruction-level parallelism, but explicitly parallel algorithms, particularly those that use concurrency, are more difficult to write than sequential ones, because concurrency introduces several new classes of potential software bugs, of which race conditions are the most common. Communication and synchronization between the different subtasks are typically some of the greatest obstacles to getting optimal parallel program performance.
A theoretical upper bound on the speed-up of a single program as a result of parallelization is given by Amdahl's law.
I'm a little confused between two approaches to this problem:
First approach (the one that makes sense to me):
Choose a Gaussian surface over each plate. We have 2EA=σA/Eo so E=σ/2Eo for the positively charged plate and likewise for the negative plate. Within the capacitor, the fields...
Homework Statement
The circuit is a Parallel RC
Z= 105KΩ∠-27 and Frequency is 50 Hz.
I was given the following information and hints.
1/z = 1/R + jwc
I need to find the common denominator of 1/R + jwc, Invert it to find z and simplify Z into one real and one imaginary part...
i know that in lap winding the number of parallel path are equal to the number of poles, and in wave winding its always two.
but where is that parallel path..? , i just don't get it.
i'm new to this subject.
thank you.
Homework Statement
two batteries A and B are connected in pareallel. A has emf of 108V and internal resistance of 3 Ω while B has emf of 120V and internal resistance of 2Ω. The battery terminal is connected to battery C in series with a 25 resistor. Battery C has emf of 30V and negligible...
Homework Statement
A RC parallel circuit with an impedance of Z = 105000 Ω ∠ -27 and frequency of 50 Hz.
Homework Equations
I need to find out what the R and C values using the information given.
The Attempt at a Solution
I know the impedance for a parallel RC can be calculated...
Homework Statement
The Attempt at a Solution
All I need to know is the acceleration acting on the particle after the potential is applied.
v_f^2 = v_i^2 + 2ad
(1*10^{-5})^2 = -(1*10^{-5})^2 + 2a(1*10^{-3})
a = 1*10^{-7} m/s2
Is this the correct approach to finding acceleration?
Homework Statement
A parallel plate capacitor with capacitance C is charged to a value q and then isolated. The separation between the plates is then tripled. What was the work required to separate the capacitors?Homework Equations
U=1/2CV^2
Q=CV
C=ε0A/dThe Attempt at a Solution...
Homework Statement
Find equation of plan H in R^4 that contains the point P= (2,-1,10,6)
and is parallel to plain H2: 4a +4b + 5c-6d = 3 then answer the following questions:
A. find normalized normal of plane H which has an angle theta with the normal n= (4,4,5,-6) of H2 such that cos(theta)...
Hello,
I've had a qualm over the definition of ''in series'' or ''in parallel''. I want to know, when two components are in series, does that mean that they share the same current, or does it mean that the components only share one node on one side of the component with each other.
Similarly...
Electrostatics -- 3rd plate inserted into parallel plate capacitor
Homework Statement
This question is from the book by I.S Grant and W.R Phillips on Electromagnetism. Two large parallel plates of area A and distance d apart are maintained at potentials 0 and V. A third similar plate...
I don't know very much about differential geometry but from the things I know I think that the metric is somehow the quantity which specifies what kind of a geometry we're talking about(Though not sure about this because different coordinate systems on the same manifold can lead to different...
I was helping my friend wire up some pretty lights for his automobile. I walked him through series and parallel circuits. He asked me if a single L.E.D. connected to a battery was in series or parallel with the battery. A said series! But then I thought a little more ...isn't it in parallel too?
Homework Statement
This is not a homework question,but I will post here anyway.
##\vec{AB}=\left(\begin{matrix} 1 \\ 2 \end{matrix}\right)##
##\vec{CD}=\left(\begin{matrix} 2 \\ 4 \end{matrix}\right)##
(a)Prove that ##|\vec{CD}|## is double of ##|\vec{AB}|##
(b)Prove that ##\vec{CD}## is...
Homework Statement
Two current carrying wires run parallel. The bottom wire creates a magnetic field at a point on the top wire. What direction is the force on the left wire?
--------->------
--------->------
Homework Equations
I'm assuming there's no equation, just the right hand...
Homework Statement
Find the open circuit voltage VL(0) across the 5ohm resistor
Homework Equations
Z1*Z2/Z1+Z2
V(Z2*Z1+Z2)
The Attempt at a Solution
I thought for the open circuit voltage that due to infinite resistance of OC that the voltage across j35 inductor would...
If we have a resistor and inductor in parallel, how does the resistor maintain a potential difference equal to our emf? Am I correct in saying that for the inductor to maintain a voltage difference, there has to be some change in current, so that the current going through the resistor is also...
Homework Statement
If the electric field strength between two parallel plates 1cm apart is 3.1kN/C, how much energy will be used by the electric field to move an electron (placed half way between the plates) 3mm nearer to the positively charged plate?
Homework Equations
Work Done =...
suppose that you have to wires connected in parallel, one double the length of the other
now that means that the longer wire has double resistance .
according to kirchhof's law , the current going in the two wires is the same as the current coming out , but if one is double the length of the...
Homework Statement
There are three parallel identical planes of area A = 200 cm^2, and the distance between the upper and the middle one as well as the distance between the middle and the lower one is d = 3cm. The upper plane was charged to q1 = 0.5 nC. The other two were connected to a V=...
Hi everyone( the force vector parallel to the position vector r ) = Force vector* (r vector / r)
I don't know how did they find this relation ?
it seems to me they multiplied F hat by the unit vector ?
why ??
I am just confused about it
any idea ??
Homework Statement
An electron is fired at a speed vo = 5.6 ✕ 10^6 m/s and at an angle θo = -40° between two parallel conducting plates that are D = 2.5 mm apart, as in Figure P16.66. The voltage difference between the plates is ΔV = 103 V.
Homework Equations
F = Eq
E = V/d
a = F/m
The...
What will happen if two batteries were connected in parallel, and how could the total voltage and current be distributed among the resistors?
Like in this attachment considering that the internal resistance of the 12V battery is 3 ohms while the resistance of the 5V battery is 2 ohms
Hey y'all, this is my first post. I am currently stuck on a multivariable question. Please let me know if you can help.
Homework Statement
The point, P = (1, 2, 2) lies on the surface z = x^2 + y^2 -3x. Find parametric equations for the tangent line to the surface through the point P parallel...
Homework Statement
If a dielectric cylinder, say radius R, is placed with its axis parallel to a uniform electric field. What effect will it have on the field? Picture is included which makes it a bit clearer
Homework Equations
The Attempt at a Solution
I know that the D-field...
Homework Statement
The attached figure shows a magnetic series parallel circuit with an air gap, what I'm not sure of is how to add the individual reluctances of the core and air gap to get the total reluctance required to calculate the current.
Homework Equations
The Attempt at a...
From the Wikipedia article on the Riemann curvature tensor:
The last sentence assumes that ##\tau_{sX}^{-1}\tau_{tY}^{-1}\tau_{sX}\tau_{tY}## returns Z back to x0. It isn't obvious to me that this should be true. My guess is that this is true because X and Y commute, but I can't think of a...
Homework Statement
Two parallel infinite wires lay parallel to the z-axis in the xz-plane. One located at x=d has charge distribution λ and one located at x=-d has charge distribution -λ.
Homework Equations
a) Find the potential V(x,y,z) using the origin as a reference
b)Show that...
Say I have a circuit that looks like this:
..._______
B___|_|_|_|___ A
The red and green lines are resistors.
The black lines are wires.
Assume a connection between any component line that is at a right angle to any other line, and a current source applied to points A and B.My question is...
Homework Statement
At t=0 a police officer is located at (0,R) on a circular platform whose radius is R and which rotates around the z axis with constant angular velocity ω. The officer's velocity at that point in time is (ωR ,0). At that time, a bird leaves the center of the platform along the...
Homework Statement
Determine IL in the circuit in the Figure.
Figure: http://i.imgur.com/PvKXtjX.png
V1 = ?
Ix = ?
IL = ?
3*Ix current source pointing downwards
7mA current source pointing upwards
7mA current source pointing downwards
7kOhm resistor
1kOhm resistor
Homework...
There are two expressions of electric field between two parallel plates,say one carries Q and another carries -Q
Then the electric field between them=σ/ε0
But there is another expression that E=V/d where d is their distance of separation
What are the differences between them?And what are the...
Homework Statement
The dot product for two.parralel pointing.unit.vectors is ?
A. 1
B. 0
C. -1
D. Undefined
[b]2. Relevant equation
The Attempt at a Solutionsince they are unit vectors they have a magnitude of 1,this implies that the dot product is 1,since the angle between...
In the inverting operational amplifier circuit I've drawn below I am trying to calculate the output voltage and the voltage at the blue spot. The resistors are of the magnitude of several K ohm.
I have done the following:
Uout = Rf * (I1+I2+I3) = Rf * (U1/R1 + U2/R2 + U3/R3)
The voltage Ux...
Homework Statement
http://imgur.com/iTHbpTv
This picture contains the circuit drawn out, and all the provided numbers. It also includes some of my work.
Homework Equations
I=V/R
P=I*R
The Attempt at a Solution
So I attempted to reduce it down to one resistor & one battery (26V...
Homework Statement
The figure below shows two parallel plates. Assume they are infinite in area (this way we can neglect edge effects). The plate on the left is at a potential of +60V and the plate on the right is at a potential of 0V. The plates are a distance 20cm apart and the dashed lines...
Resistors -- connected in series or in parallel
Homework Statement
The problem is asking for the currents, but I have a question about the resistors. I've been having trouble determining whether resistors are connected in series or in parallel. I've already looked at another thread in this...
Hi, sorry if this has been asked before.
It is known that two parallel wires carrying electric currents in the same direction attract one another. The force is known as electromagnetic force.
My question is whether this has been checked for two pure currents of charges. Specifically, whether...
Homework Statement
Determine the voltage v in the circuit after first replacing the three sources with a single equivalent source.
Homework Equations
v=iR
The Attempt at a Solution
I've arrived at the correct answer. I just want to make sure I did it correctly and didn't just get...
Two circular disks, each of area 2.10×10-4 m2, are situated parallel to one another. The distance between them is small compared with their radii. Both disks are uniformly charged; their charges per unit area are σ = 5.10×10-5 C/m2 for one and -σ = -5.10×10-5 C/m2 for the other. Compute the...
Homework Statement
Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transferring 1.70 ×109 electrons from one disk to the other causes the electric field strength to be 3.50 ×105N/C.
What are the diameters of the disks?
Homework Equations
Refer to attachment...
Homework Statement
If we know the orientation of a power line that is parallel to a telephone line, how can we determine the voltage induced on the telephone line without knowing the radius' of the lines? We are told the power line is at 200A at 60-Hz, we know how far each of the lines are...
What is the equation of a plane that passes through the point (4,2,-7) and is parallel to the xy plane?
I know that on the xy plane z = 0, so the direction vector is (1,1,0). Would a direction vector of the parallel line be (2,2,0)?
If so the final equation is p=(4,2,-7)+s(1,1,0) + t(2,2,0)?
Do we presume the light beams to be parallel even though they meet at one place?
like the image here
http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/sinslit.html
Homework Statement
I am curious about the situation of heat transfer between parallel horizontal plates in an enclosed space (particularly with the lower plate being higher temperature and subjected to a steady heat flux) with the enclosure itself being composed of a fictional "perfect...
Homework Statement
The question is as per my attachmentHomework Equations
The Attempt at a Solution
I found the following help of the internet but do not know where to start any assistance would be appreciated:
you don't need to be concerned about matched turns ratio. You can assume that the...
Question:
Is this a parallel circurt?
Revelant equations:
None required
Attempt at solution:
I know that a parallel circurt has more than one pathway for the current to flow and has resistors parallel to each other. However in both of the pictures shown, there are two parallel paths but the...
Homework Statement
Ignore the wires that go out of the image.
Homework Equations
The Attempt at a Solution
At first I thought they were in series because they're all lined up. But why can't the 4 kilo-ohm resistor and 12 kilo-ohm resistor be in parallel with the 6 kilo-ohm...
This is an expression I came across in a paper I am going through. It involves an expression for the parallel transport of a tangent vector taking into consideration the sectional curvature of simply connected space-forms in \mathbb R^4 . I have not been able to derive it.The equation simply...