7. Fields and their Consequences Flashcards
When can charge transfer between two objects?
When they slide past each other
When two objects slide past each other, how is charge transferred?
Electrons leave one surface and join the other
What is earthing?
When electrons move to or from the earth to balance charges on charged objects
What happens, when charge is transferred between objects, if one of the objects is an insulator?
The charge can build up
Why does charge build up on the dome of a Van de Graaf generator?
The dome is metal, but charge builds up as it is isolated
What happens when a charged polythene rod is brought near to uncharged objects?
It attracts the object
How do you get charge onto an electroscope?
∙ charged object e.g. polythene rod is brought near the metal plate
∙ gold leaf moves towards rod
∙ electroscope is earthed so charge is stored
How can electric fields be represented?
Field lines
What do field lines show?
The direction of the force that would be felt by a small positive charge
What do equally spaced field lines show?
A uniform field
What practical can be done to plot field lines?
Electrolytic tanks and conducting paper
∙ damp filter paper, potassium permanganate and 250V electrodes
∙ plot equipotential lines using a point probe attached to a voltmeter (field lines plotted perpendicular to equipotential line)
What are the rules about field lines?
∙ never start or stop in empty space
∙ never cross
∙ density of field lines shows strength of field
Where do field lines stop and start?
Either on a charge or at infinity
Why do field lines never cross?
If they did, a small positive charge place there would feel forces in different directions, which could be resolved into the one true direction of the field there
What is a neutral point?
A point exactly between two like charges where no field exists
What is the equation for electric field strength?
E = F / Q
What is field strength?
The force per unit (positive) charge exerted by the field
What are the units for electric field strength?
N C-1
Summary of Coulomb’s law?
The force between two point charges is
∙ directly proportional to each of the charges Q1 and Q2
∙ inversely proportional to the square of their separation
What is the equation for Coulomb’s law?
F = kQ1Q2 / r²
What does k depend on in F=kQ1Q2 / r²?
The permittivity of the substance separating the charges
What permittivity does every insulating material have?
Greater than the permittivity of free space
What does it mean, in terms of charges, that the permittivity of water is about 80 times the permittivity of free space?
Makes the forces between charges 1/80th of value - when salt is put in water the forces are reduced and crystal structure collapses
What equation do you get when the electric field and coulombs law equation are combined?
E = kQ / r²
What does k equal in E = kQ / r²?
1 / 4πℇ
How can the strength of the uniform field between parallel plates be made stronger?
∙ increase p.d. across plates
∙ moving plates closer together
Equation for strength of a uniform field?
E = V / d
What can electric field strength be measured in?
Vm-1 or NC-1
Why can electric field strength be measured in Vm-1 or NC-1?
Work is done moving an object, and work is done when a charge moves through a p.d.
How are electrons used in TVs, oscilloscopes and X-ray machines?
∙ electron gun produces electrons by thermionic emission
∙ then they are accelerated by an electric field
∙ as electrons accelerate across field, they lose potential energy but gain kinetic
(gain in Ek = loss in Ep)
What happens in an electron deflection tube?
Moving electrons pass through an electric field between two plates
What is the equation for the force on an electron in an electron beam, and why is this?
∙ F = e V / d
(as E=V/d and force on an electron charge is F=Ee
What is the shape of the path when electron beams are deflected?
Curved, as the force (F=eV/d) is constant
What is the difference between electric and gravitational fields, in terms of what ‘feels’ the force?
∙ electric - charge q
∙ gravitational - mass m
What is the difference between electric and gravitational fields, in terms of their definition?
∙ electric - force per unit charge
∙ gravitational - force per unit mass
What is the difference between electric and gravitational fields, in terms of their constant of proportionality?
Both inversely proportional to r²
What is the difference between electric and gravitational fields, in terms of their force equation?
∙ electric - F=Eq
∙ gravitational - F=mg
What is the difference between electric and gravitational fields, in terms of their direction of force?
∙ electric - like charges repel, unlike charges attract
∙ gravitational - all masses attract
What is the difference between electric and gravitational fields, in terms of their relative strength?
∙ electric - strong at close range (responsible for chemical bonding)
∙ gravitational - weak except for massive bodies (responsible for motion of planets)
Do all points in an electric field have an absolute electric potential?
Yes
What is absolute electric potential?
The electric potential energy that a unit positive charge would have at that point
What is absolute electric potential calculated using?
V = 1/4πℇ x Q/r
What does r equal in V = 1/4πℇ x Q/r?
Distance from the charge Q
What does the sign of electric potential depend on?
The sign of Q (V is +ve when Q is +ve and the force is repulsive)
When will V (electric potential) be zero?
When r is
For a V-r graph, what does the gradient of a tangent to the graph give?
The field strength at that point
When will two points in an electric field have an electric potential difference between them?
If they have a different absolute electric potential
What is electric potential difference?
The energy required to remove a unit charge between two points in an electric field that have a different electric potential
How can electric potential difference be found?
Using the area under the graph of E against r
Where are field lines in relation to equipotential lines?
Perpendicular
What happens in terms of energy when you travel along an equipotential line?
No work is done so no energy is transferred
For a charged sphere, where may charge considered to be?
At the centre
When is electric potential zero?
At infinity
What equation links V to E?
E = ΔV/Δr
What is G?
The universal gravitational constant
What is the unit of G?
N m2 kg-2
What does the formula F = Gm1m2/r2 apply to?
Point masses, but spherical masses can be treated as point masses with all their mass concentrated in the centre
Is the force in F = Gm1m2/r2 attractive or repulsive?
Always attractive
What is a field?
A region of space around an object where other bodies feel a force due to it
Is your pull on the earth the same as the earth’s pull on you?
Yes, but your gravitational field is far weaker
What is field strength?
A point in a body’s field as the gravitational force exerted on an object placed at that point, per kg of the object’s mass
If two objects of different masses are placed at the same point in a field will they experience the same field strength and gravitational force?
Will experience same field strength, but different gravitational forces
When calculating gravitational field strength, what is the mass that matters?
The mass below you only
Where does g = GM/r2 come from?
When objects are a distance from earth e.g. other planets
- F = Gm1m2/r2
- small mass m, and planet mass M - F = GMm/r2
- but F=mg so mg = GMm/r2
- therefore g = GM/r2
What is Kepler’s third law?
The time of one orbit T, and the distance from the planet to the sun r, are related by T² ∝ r³
How is T² ∝ r³ proven?
- planet remains in orbit due to centripetal force (F=mv2/r)
- F=Gm1m2/r2
- GMm/r2 = mv2/r
- but v = 2πr/T
- so GM/r2 = 4π2r/T2
- T2 = (4π2/GM) r3
What are geostationary satellites used for?
Communications
How many geostationary satellites would be able to cover the entire earth?
3 placed into orbit 120 degrees apart above the equator
Why are the energy and costs required for launching a satellite into a geostationary orbit high?
Because they have to be launched so high
Equation for GPE in a uniform field?
Change in GPE = mgh
What is the value of GPE at infinite distance?
0
What is GPE proportional to, in terms of r?
1/r
What is the equation for GPE in a radial field?
GPE = –GMm/r
note this is not change in GPE
When GPE = –GMm/r, what happens to GPE as you move closer to M?
GPE becomes more negative as at infinite distance GPE=0
Why did someone come up with gravitational potential?
To get an expression involving energy which is independent of the mass placed in a field
What are the two ways gravitational potential can be thought about?
- GP at a point in a field is the energy per unit mass (V=Ep/m so V=gh)
- GP is work done per unit mass in moving a small object from infinity to that point (ΔV=ΔE/m)
Is gravitational potential a scalar or vector?
Scalar
Is gravitational field strength vector or scalar?
Vector
Is the force between two masses vector or scalar?
Vector
Is gravitational potential energy vector or scalar?
Scalar
What is the unit for gravitational potential?
J kg-1
What do equipotentials do?
Join points of equal potential
When V = -GM/r is used to calculate V at earth’s surface, V = -63 MJ kg-1. What does this mean?
63mJ of work needs to be done in order to move 1kg from the earth’s surface to infinity
What type of graph is the graph of V against r?
A 1/r curve, not an inverse-square
What is the derivation for the escape velocity equation?
- Ep = -GMm/r and Ek=1/2mv²
- energy is conserved so Ep+Ek=0
- -GMm/r + 1/2mv² = 0
- so v = √2GM/r
- or √2gr as gr=GM/r
What is a null point?
A point between two masses where the resultant g force is zero
What are low earth orbits?
- satellite systems used in telecommunications
* orbit between 400 and 1,000 miles above the earth’s surface
What is a synchronous orbit?
An orbit where the satellite has a period equal to that of the body being orbited
What is the radius of a geostationary orbit?
approx 42000km
What do capacitors do?
Store electric charge
Where are capacitors used?
In almost all electric circuits
What does a capacitor consist of?
Two parallel metal plates separated by an insulator called a dielectric
What is a dielectric?
The insulator in a capacitor that separates the two metal plates
When will a capacitor have a greater capacitance?
When it can store more charge