



Section summary
 The voltage between points A and B is
$\begin{array}{c}\left(\begin{array}{c}{V}_{\text{AB}}=\mathrm{Ed}\\ E=\frac{{V}_{\text{AB}}}{d}\end{array}\right\}\text{(uniform}\phantom{\rule{0.25em}{0ex}}E\phantom{\rule{0.25em}{0ex}}\text{ field only),}\end{array}$
where
$d$ is the distance from A to B, or the distance between the plates.
 In equation form, the general relationship between voltage and electric field is
$E=\phantom{\rule{0.25em}{0ex}}\u2013\frac{\mathrm{\Delta}V}{\mathrm{\Delta}s},$
where
$\mathrm{\Delta}s$ is the distance over which the change in potential,
$\mathrm{\Delta}V$ , takes place. The minus sign tells us that
$\mathbf{\text{E}}$ points in the direction of decreasing potential.) The electric field is said to be the
gradient (as in grade or slope) of the electric potential.
Conceptual questions
Problems&Exercises
What is the strength of the electric field between two parallel conducting plates separated by 1.00 cm and having a potential difference (voltage) between them of
$1\text{.}\text{50}\times {\text{10}}^{4}\phantom{\rule{0.25em}{0ex}}\mathrm{V}$ ?
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The electric field strength between two parallel conducting plates separated by 4.00 cm is
$7\text{.}\text{50}\times {\text{10}}^{4}\phantom{\rule{0.25em}{0ex}}\text{V/m}$ . (a) What is the potential difference between the plates? (b) The plate with the lowest potential is taken to be at zero volts. What is the potential 1.00 cm from that plate (and 3.00 cm from the other)?
(a)
$3\text{.}\text{00 kV}$
(b)
$\text{750 V}$
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How far apart are two conducting plates that have an electric field strength of
$4\text{.}\text{50}\times {\text{10}}^{3}\phantom{\rule{0.25em}{0ex}}\text{V/m}$ between them, if their potential difference is 15.0 kV?
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(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength for air (
$3.0\times {\text{10}}^{6}\phantom{\rule{0.25em}{0ex}}\text{V/m}$ ) if the plates are separated by 2.00 mm and a potential difference of
$5.0\times {\text{10}}^{3}\phantom{\rule{0.25em}{0ex}}\text{V}$ is applied? (b) How close together can the plates be with this applied voltage?
(a) No. The electric field strength between the plates is
$2.5\times {\text{10}}^{6}\phantom{\rule{0.25em}{0ex}}\text{V/m,}$ which is lower than the breakdown strength for air (
$3.0\times {\text{10}}^{6}\phantom{\rule{0.25em}{0ex}}\text{V/m}$ ).
(b) 1.7 mm
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Membrane walls of living cells have surprisingly large electric fields across them due to separation of ions. (Membranes are discussed in some detail in
Nerve Conduction—Electrocardiograms .) What is the voltage across an 8.00 nm–thick membrane if the electric field strength across it is 5.50 MV/m? You may assume a uniform electric field.
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Two parallel conducting plates are separated by 10.0 cm, and one of them is taken to be at zero volts. (a) What is the electric field strength between them, if the potential 8.00 cm from the zero volt plate (and 2.00 cm from the other) is 450 V? (b) What is the voltage between the plates?
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Find the maximum potential difference between two parallel conducting plates separated by 0.500 cm of air, given the maximum sustainable electric field strength in air to be
$3.0\times {\text{10}}^{6}\phantom{\rule{0.25em}{0ex}}\text{V/m}$ .
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A doubly charged ion is accelerated to an energy of 32.0 keV by the electric field between two parallel conducting plates separated by 2.00 cm. What is the electric field strength between the plates?
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An electron is to be accelerated in a uniform electric field having a strength of
$2\text{.}\text{00}\times {\text{10}}^{6}\phantom{\rule{0.25em}{0ex}}\text{V/m}$ . (a) What energy in keV is given to the electron if it is accelerated through 0.400 m? (b) Over what distance would it have to be accelerated to increase its energy by 50.0 GeV?
(a)
$\text{800 KeV}$
(b)
$\text{25.0 km}$
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Questions & Answers
example ofchange of state of the body in the effectof heat
the force that pushes upward on us. the force that opposes gravity
clifford
upthrust of air
Abdikadir
Newton's 3rd law. the force of the ground (earth) that pushes back on gravity, keeping us on the ground instead of sinking into it.
clifford
I really need lots of questions on frictional force
Questions or answers?
Shii
I can help answering what I can
Shii
does friction also need some force to perform?
Mohit
no friction is a force just like the gravitational force
clifford
yeah but u can't apply friction anywhere else like other forces
Mohit
I don't understand that question. friction does work alongside other forces based on the situation.
clifford
eg. when walking there are two forces acting on us gravitational and frictional force. friction helps us move forward and gravity keeps us on the ground
clifford
friction is a contact force.
Two surfaces are necessary for the force to work.
clifford
hope this helped
clifford
the friction force which oppose while it contact with surrounding. there are two kind of friction. slidding and rolling friction.
Neyaz
Two unequal masses
M1 and M2 are connected by a string of tension T on a plane,find the acceleration and tension in the string
Ogboru
derive the equation
Ogboru
physics is a branch of science
in which we are dealing with the knowledge of our physical things. macroscopic as well as microscopic. we are going look inside the univers with the help of physics. you can learn nature with the help of physics. so many branches of physics you have to learn physics.
vijay
Candela is the unit for the measurement of light intensity.
Osei
any one can prove that
1hrpower= 746 watt
Newton second is the unit of ...............?
Neyaz
Impulse and momentum
Fauzia
force×time and mass× velocity
vijay
What is the simple harmonic motion?
oscillatory motion under a retarding force proportional to the amount of displacement from an equilibrium position
Yuri
Straight out of google, you could do that to, I suppose.
Yuri
Oscillatory motion under a regarding force proportional to the amount of displacement from an equilibrium position
Neyaz
examples of work done by load of gravity
What is ehrenfest theorem?
You can look it up, faster and more reliable answer.
Yuri
That isn't a question to ask on a forum and I also have no idea what that is.
Yuri
what is the work done by gravity on the load 87kj,11.684m,mass xkg[g=19m/s
Maureen
What is law of mass action?
rate of chemical reactions is proportional to concentration of reactants ...
muhammad
lenses are two types
Fauzia
concave and convex
muhammad
in vacuum speed of light is 3×10^8 m/s
vijay
which is correct answer
Vikash
he is correct but we can round up in simple terms
vijay
I mean 3*10^8 m/s ok
vijay
299792458 meter per second
babar
how many Maxwell relations in thermodynamics
vijay
how we can do prove them?
vijay
What is second law of thermodynamics?
Neyaz
please who has a detailed solution to the first two professional application questions under conservation of momentum
I want to know more about pressure
Osei
definition of Pressure
John
it is the force per unit area of a substance.S.I unit is Pascal
1pascal is defined as 1N acting on 1m² area i.e 1pa=1N/m²
Emeh
pls explain Doppler effect
Emmex
solve this an inverted differential manometer containing oil specific gravity 0.9 and manometer reading is 400mm find the difference of pressure
Source:
OpenStax, College physics. OpenStax CNX. Jul 27, 2015 Download for free at http://legacy.cnx.org/content/col11406/1.9
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