Voltage, electric potential difference, electromotive force (emf), electric pressure or electric tension is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points. In the International System of Units, the derived unit for voltage (potential difference) is named volt. In SI units, work per unit charge is expressed as joules per coulomb, where 1 volt = 1 joule (of work) per 1 coulomb (of charge). The old SI definition for volt used power and current; starting in 1990, the quantum Hall and Josephson effect were used, and recently (2019) fundamental physical constants have been introduced for the definition of all SI units and derived units. Voltage or electric potential difference is denoted symbolically by ∆V, simplified V, or U, for instance in the context of Ohm's or Kirchhoff's circuit laws.
Electric potential differences between points can be caused physically by electric charge build up or imbalance (eg. well known "static" and electronic capacitor) also by electric current through a magnetic field, and by time-varying magnetic fields (eg. dynamo or generator), or some combination of these three. Additionally on a macroscopic scale potential difference can be caused by electrochemical processes (cells and batteries) and pressure induced piezoelectric effect and heat induced emf across metal junctions. These latter processes at microscopic level have the physical origins previously mentioned. A voltmeter can be used to measure the voltage (or potential difference) between two points in a system; often a common reference potential such as the ground of the system is used as one of the points. A voltage may represent either a source of energy (electromotive force) or lost, used, or stored energy (potential drop).
Homework Statement
Two parallel-plate capacitors have the same plate area.
Capacitor 1 has a plate separation half that of capacitor 2, and the quantity of charge you place on capacitor 1 is six times the quantity you place on capacitor 2.
How do the two Potentials differences of the capacitors...
A very long hollow cylinder has inner radius A and outer radius B. It has a known unit charge per unit volume p. Find the difference in the electric potential a point on the axis and a point a distance A+D assuming A+D<B
The diagram is in the url. It is #3...
Hi,
I'm having a problem with this circuit finding potential difference between capacitors. I know the answers by playing around on simulation software A=12v B=8v and C=4v however, I am struggling to use the formula provided Vc= (Vt/Ct)*C to find the answers. It works fine in a parallel circuit...
Homework Statement
The problem is: A 10.0-μF capacitor is charged to 15.0 V. It is next connected in series with an uncharged 5.00-μF capacitor. The series combination is finally connected across a 50.0-V battery as diagrammed in Figure P26.63. Find the new potential difference across the...
Suppose we have a circuit with two capacitors connected to each other, C1 and C2.
C1 is charged and has a potential difference of 5 V (V1=5V), but C2 is not charged (V2=0)
Apparently it is known that the potential difference of these two capacitors will want to reach equilibrium. So V1=V2...
Homework Statement
[/B]
Find the potential difference between points b and a in the circuit below
I have already solved for the voltages of the two batteries (1 and 2) in the circuit (18 V and 7 V respectively)
2. Homework Equations
Kirchhoff's Rules
1) Potential difference across any...
Homework Statement
A long, straight power line is made from a wire with radius ra = 1.0 cm and carries a line charge density λ = 2.6 μC/m. Assuming there are no other charges present, calculate the potential difference between the surface of the wire and the ground, a distance of rb = 22 m...
Homework Statement
Two charged, parallel, flat conducting surfaces are spaced d = 1.3 cm apart and produce a potential difference ΔV = 625 V between them. An electron is projected from one surface directly toward the second. What is the initial speed of the electron if its comes to rest just at...
Homework Statement
An unknown element has a nucleus with charge 14.00 e and a radius of about 3.60×10-15 m. How much voltage must be used to accelerate a proton (radius 1.20×10-15 m) so that is has sufficient energy to just penetrate the unknown element?
Assume that the potential is that for...
Homework Statement :
[/B]
Co-axial cable, relative permittivity, capacitance, internal energy
A long straight co-axial cable of length 1 consists of an inner conductor of radius r1 and a thin outer conductor or radius r2. The dielectric between the conductors has a relative permittivity εr...
Homework Statement
A capacitor made of a round solid bar and a thin round tube are coaxial, they are very long. the radii of the bar is ra and of the tube rb. they are both charged with λ, the charge per unit length, with opposite charges. what is the potential difference.
Homework Equations...
I have trouble understanding the internal resistance experiment in which potential difference decreases as current increases because I thought they are usually directly proportional to each other. Is there any concept that I am missing? I know that the lost voltage will be greater as current...
Homework Statement
An electron with a speed of 5.0x10^6 m/s is injected into a parallel plate apparatus, in a vacuum, through a hole in the positive plate. The electron collides with the negative plate at 1.0x10^6 m/s. What is the potential difference between the plates?
Vi= 5.0x10^6...
Homework Statement
a) Find Req of the circuit
b) Find the potential difference across resistance R3[/B]
Homework Equations
Resistors in parallel = (1/R1 + 1/R2 + 1/R3 + ...)^-1
Resistors in series = R1 + R2 + R3 + ...
The Attempt at a Solution
a)
R3 and R4 are in parallel --> [ (1/40Ω) +...
Homework Statement
Two points A and B are separated in space by distance dr.
A has coordinates (x,y,z) and B has coordinates (x+dx, y+dy, z+dz).
Using the definition of potential difference, show E = -\nabla\phi
Homework Equations
E = -\nabla\phi
V = \int{^A_B}{E\cdot{dr}}
The Attempt at a...
Homework Statement
a) Derive the expression for the potential difference due to two uniform infinite
sheet charges at y=5 and y=-5 in free space.
b) If V=4V at (0,2,10) find V at (-4,3,1) . The surface charge density on the two
sheet charges are ?s=?0 col/m2
[/B]Homework EquationsThe Attempt...
a) Derive the expression for the potential difference due to two uniform infinite
sheet charges at y=5 and y=-5 in free space.
b) If V=4V at (0,2,10) find V at (-4,3,1) . The surface charge density on the two
sheet charges are ?s=?0 col/m2
What you guys be able to help me with this ?
Homework Statement
-A beam of electrons bombards a sample of hydrogen in its ground state.
a) Through what minimum potental difference must the electrons be accelerated if only one line of the Balmer's series can be observed?
Homework Equations
V= h^2/2meλ^2 (V=potential difference)...
Homework Statement
[/B]
Figure 20-3, referred to below, is 0.800m wide and 0.400m tall with "A" in the top left corner, "+4 microC" charge in the top right corner, "+2 microC" charge in the bottom left corner, and "B" in the bottom right corner.
Two point charges of magnitude +4.00 μC and...
1. For the circuit shown,
(a) Find the current in each resistor
(b) Find the potential difference between c and fHomework Equations :[/B]
i2 + i1 = i3
i = V/R3.
(a)
So solving for each resistor using the loop rule this is what I got,
(Resistor 3): E3 - IR3 = -E2 - E1
(Resistor 2): -E2 - IR2 =...
Homework Statement
Electron diffracation experiment show that the wavelength of a electron is 0.15nm. Find the momentum of the electron in the beam. ii) Through what the potential diffrenece should the electron accelerated from rest to acquire this momentum?
Homework EquationsThe Attempt at a...
Homework Statement
An electron accelerated from rest through a potential difference V acquires a
speed of 0.8c. Find the value of V.
Homework Equations
E=(gamma)mc^2, E=Vq
The Attempt at a Solution
For this I related the two equations above and chose a value of m=0.5MeV for the electron and...
I'm working my way through MIT 8.02x on EdX (an archived course, so it's a bit lonely in there right now!). The problem statement:
Two spherical conductors, A and B, are placed in vacuum. A has a radius rA=25 cm and B of rB=35 cm. The distance between the centers of the two spheres is d=225...
In the picture that i attached
i need some help
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In the book it says
''' The negative terminal of the battery E_1 is connected to b. So at the lower end of the resistance R_2 the pd is 6V. "'
What is the significance of this statement?
Indian school books say -- We define the electrical p.d. between two points in an electrical circuit carrying some current as the work done to move a unit charge from one point to other!
=>V=W/Q
But, my doubt is...since work done is directly proportional to distance between two points...
Homework Statement
The full problem can be seen here - however, I only need help with one part: http://puu.sh/biN9W/ee2a7bf393.png
I'm not sure how to find the velocity of a particle when accelerated to the point that it exceeds or approaches the speed of light when the classical...
Homework Statement
Charge is uniformly distributed with charge density ρ inside a very long cylinder of radius R.
Find the potential difference between the surface and the axis of the cylinder.
Express your answer in terms of the variables ρ, R, and appropriate constants.
Homework Equations...
Homework Statement
A 1.0 μA proton beam is accelerated across a potential difference of 1.0 kV. Assume the beam has uniform current density over a diameter of 2.0 mm, and zero outside.
Find: volume charge density in the beam, (HINT use λ=I/v where λ= charge/ unit length)
The radial...
Homework Statement
A rod of length L and made of conducting material is attached with a smaller non-conducting rod of length l to an axle, which is rotating at constant angular velocity ω (see attachment). Find the potential difference between the ends of the rod. Of what strength magnetic...
Homework Statement
Find the potential difference between two oppositely charged, infinite cylinders of radii R whose axes lie at $$y =+\frac{d}{2}$$ and $$y = -\frac{d}{2}$$ They have surface charge densities of magnitude $$\sigma$$
Homework Equations
The family favourite - Gauss' Law...
Hello,
I'm wondering how to determine the value of the potential difference between two points (junctions specifically) in a circuit with 2 emfs. The junctions are points x and y in the circuit below.
I thought I could use the junction rule to determine the current at each junction...
If a battery has 6V of voltage, this means that P+ – P– = 6V or that P– – P+ = 6V ?
Being:
P+ = electric potential of the positive pole
P– = electric potential of the negative pole
Homework Statement
Two capacitors ##C_1## and ##C_2## (where ##C_1 > C_2##) are charged to the same initial potential difference ##ΔV_i##, but with opposite polarity. The charged capacitors are removed from the battery, and their plates are connected as shown in Figure a. The switches...
Homework Statement
I attached a screenshot of the problem(s) that my professor gave in a practice exam.
Homework Equations
∑I = 0 at each junction
∑V = 0 at each closed loop
P = I2R = V2/R
Rseries = R1 + R2 +...
The Attempt at a Solution
Part A:
I think the current I in the center...
conflicting results.
find the potential between the two conductors of a coaxial cable
I have already found E... E = lambda / 2 pi r epsilon
my question: What are the integration limits for finding the potential between the conductors?
say we have a radius a (inner conductor)...
Homework Statement
1. Consider a line of charge (with λ charge per unit length which extends along the x-axis from x=-∞ to x=0
(a) Find all components of the electric field vector at any point along the positive x-axis
(b) Find the electric potential difference between any point on the...
The emf and internal resistance are shows in the attached image. When the terminal voltage, Vba, is equal to -40V, what is the current through the battery, including its direction?
Solution:
VT = emf - iR (general)
In this case, VT = 40V, when considering VT = Vab = Vb - Va
VT =...
When we place a voltmeter across a single battery which is connected to another battery in series, does voltmeter show the emf of the single battery or the sum of emf of both the batteries?
This isn't a homework question, but while working on some questions in Physics AP C, I've come across several questions involving 0 PD (potential difference).
My question is simple; what does 0 PD mean?
so far i know that 0 potential difference of any kind is arbitrary, since it represents the...
Homework Statement
Va - Vb
Homework Equations
V = IR
Loop rule
Node rule
The Attempt at a Solution
I'm able to find each I value, as well as the direction of current. I'm not sure what to do after that. I know the answer should be 45V, but everything I've tried doesn't lead to that.
If the potential difference between point A and point B is 10 Volts, then when a unit positive charge passes from A to B, the charge loses 10 J of energy.
But when an electron passes from A to B does it gain energy, because in W = Q . V , Q is negative.
I am really confused in potential...
What cause potential difference in the conductor? I mean why the changing magnetic flux induce EMF? I understand the basics but I can't understand it. What I know: there is free electrons on the surface of a copper conductor. Electron have electric field vector and magnetic field vector and...
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
Wires 1 and 2 are identical except that they are each made of a different material. The one end of wire 1 is connected to one end of wire 2. The two remaining ends are connected across a battery and current flows through the two wires. Is the potential difference is wires...
I have this question that asks what the velocity of the stationary electron is after being accelerated by potential difference. The potential difference is 500v, but the specific potential difference doesn't concern me. I'm uncertain of how i get the velocity, because i don't know an equation...
Homework Statement
A thin spherical shell made of plastic carries a uniformly distributed negative charge -6e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.5e-05 coulombs and -1.5e-05 coulombs...
Homework Statement
How can I measure the potential difference across two batteries? For example, if I put the batteries end to end, so the negative end of one touches the positive end of the other. And let's say both batteries have 3 volts and let's denote point A to B as the point from one...
https://www.physicsforums.com/attachments/66302Two-conductor transmission line, find the potential difference V of the two conductors.?
Two-conductor transmission line. At point P (x=43 cm, y=32 cm) in Fig. 2-10, |E|=450 V/m. If s=25 cm, h=29 cm, and r=12.5 cm, find the potential difference if...