Chapter 22 electric Fields Flashcards

1
Q

What is a field in physics

A

A region where an object will experience a force at a certain distance due to some property they have

For example mass or vharge

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2
Q

Where do electric fields come from

A

Any charged particle will have its own electric field, and thus if another charged particle was placed in this field a force would be entered on it

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3
Q

What is the electric field show (the firce or direction what charge will face)

A

Electric field shows the direction of force experience by a POSITIVE CHARGE

Negative field lines thus pointing in to them and will go reverse

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4
Q

What is the equation for electric field strength

A

E=F/Q

The force felt per unit charge at that point shows you the electric field strength at that point

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5
Q

Electric fuel strength is a vector quantity so what direction

A

Same direction as firce

, it’s the direftuojn a positive charge would move when placed at the point

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6
Q

R,ember what are basic facts about electric field lines

A

Closer they are stringer field, if parallel then uniform field

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7
Q

How can we model the electric field on uniform spheres or point charges?

A

As RADIAL fields, thus we can use equations to show how the electric field strength decreases with increase of radius

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8
Q

What does coloumbs law describe

A

The firce experienced by BOTH charged particles due to electric fields

Experienced by both due to newtons 3rd law , force exerted on each other will be equal in MAGENTIC use but opposite in direction

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9
Q

What is Coulomb’s law

A

F = Qq/r2 (4pi episilom 0)

Essentially the firce experience by two POINT CHARGES (has ti be radial fields, can model Sphered as point charges too) is proportional to the product of their charges and INVERSELY proportional to the square of their separation from the centre .

Thus we have a proportional constant, and this is 1/ 4PI x permitivity of a vacuum

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10
Q

Why can we model spheres uniform as POINT CHARGES? (And all of newtons laws were point )

A

Looking at it from afar looks like a point charge that’s why

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11
Q

So what’s Columbia equation in full

A

F = Qq/ 4piE0r2

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12
Q

How else can we now write down equation for electric field

A

E=f/q

The electric field strength at a distance r is equal to the firce field by a POSITIVE TEST CHARGE , divided by the charge of it , thus qcancel

(Sub in f =Qq formula)

So E= Q/ 4piE0r2

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13
Q

Simlaotiy to grav fields?

A

g = F/M
F= GMm/r2
So g = GM/r2

Same kinda thing

Both are assuming you have POINT MASSES of radial FIELD LINES

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14
Q

Key difference between grav field and elec field

A

Is that grav field is always attractive but elec can be repulsive too

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15
Q

For a system of two parallel plates where one is charged positive and other negative with a potential difference, what is the electric field strength between them shape?

A

Parallel lines = thus uniform field between them

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16
Q

What’s the electric field strength between two PARALLEL. Plates OR ANY UNIFORM FIELD charged by a potential difference

How to derive

A

E=V/d
All you need is voltmeter and measure the separation

This formula comes from v = wd/q, and wd = fxd, and sub in equation for f from e=F/Q

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17
Q

What even is a capacitor

A

A capacitor is an electric,a component that essentially stores charge when a pod is applied across it, and then can discharge this when attached ti something else

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18
Q

How does a capacitor store charge or in ither words what happens when the circuit first starts

A

Electrons go from one terminal to one plate and build up as that’s all they can do . At this point it repels electrons from surface if other player making it positive . As electrons can’t go anywhere they stay here until discharged.

This is possible by connecting wire to some other component and electrons will flow back as they want to be stable

This happens in a flashlight from a phone

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19
Q

What is capacitance then

A

A measure of how much charge can be stored on a parallel plate based on how much voltage is applied

C= Q/V

This is a constant on the Q against v graph as gradient

And depends on conditions of plate and insulator in between

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20
Q

What is the unit for cappacistsnce

A

This is Farrad , but CV-1

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21
Q

And seen as tho C is the gradient of Q against v graph what’s the energy stored by a cappacsit

And what is this energy is a fraction of total energy in ANY CIRCUIT , and why is that?

A

Well v = energy/Q, so energy = V x Q, which is precisely the area under our graph

So energy = 1/2VQ

2) if total energy is vQ it means capacitor always takes half energy, and other half is always loss in resistance and wires

22
Q

How else write energy equation for cappacitorn

A

If E = 1/2VQ, and C= Q/V, then Q= CV

And E= 1/2cV2

23
Q

So with a cappator again where is half the energy always gone

A

Lost to heat always and half energy taken by cappator

24
Q

Back to electric field topic and cappaticne , we now know capacitance is a measure of how much charge can be stored on a parallel plate compared to voltage supplied,

what other factors would increase the amount of charge with one volt? (3)

A

1) The greater the area of the plate means MORE CHARGE can be held

2) the less the distance means more charge can be held too as further away harder ti hold

These are thus proportional, but we must also consider the “material “ we are in, as for different materials we will have different values

Thus this gives us a proportionality constant of the permitivity of the material capacitance is happening through, called a DIELECTRIC

25
Thus what is the EQUATION for capacitance in this case
C = E x Area/ distance
26
What even is permitivity “
Permitivity Is a measure of how string sn electric field can be made in this material
27
How can we work out the permitivity if other dielectrics
Given the relative permitivity of them in compared to the permitivity if a vacuum , we know e = er x e0 Where er is relative And e0 is vacuum
28
So two equations for capacitance now in a parallel plate
C = Q/V C = e x Area / distance
29
So how can you do an experiment quick to determine permitivity if material Using capacitor and coloummeter etc (pretty good) (equate equations)
With different voltages charge up a capacitor Then discharge the capacitor by disconnecting and attaching wire to coloumb meter = this will tell you the charge collected by capacitor based on the voltage supplied Collect different results based on different voltages 2) now equate cappatiacne equations and plot a graph of Q against V , identifying the gradient Using separation and area, rearrange the value of gradient for E!
30
What about projectile motion with charged particle in an electric field between two parallel plated. How can we work out and why
As parallel = uniform electric field As uniform = CONSTANT force exerted on particle wherever it is Constant force = constant acceleration Knowing the acceleration, you can work out final speed knowing horizontally nothing changes as no acceleration in that direction Need equation for a, A = F/M , and F = EQ, and E = V/D, make equation find A and use SUVAT Finally use trig for final velociytn
31
Now what is difference and definition of electric potential energy and electric potential
Electric potential energy is the total work done needed to bring a particle of positive charge from infinity to a separation r in sn electric field of another positive charged particle without acceleration Electric potential is the total work done per UNIT CHARGE in brining a particle from infinity to that point without acceleration Etc
32
How to get equations for epe and potential
Epe two ways to think about it 1) graph of Force against distance is inverse square law, and extends till Infinity (asymptomatic) - as work done is always area under graph, to get total energy needed form I fnity to r , need to integrate area from infinity to r 2) yh basiclaly what’s happening nis thr force is changing closer you get, but over a small distance dr it’s assumed constant. So work done over this small distance is dr x f, and integral of this from infinity to r gives you total work done
33
How to get equation for potential
Potential is defined is work done form unfit etc per unit CHARGE. If test charge is q, then jus put equation for epe in and cancel q
34
So what is equation for potential energy
EPE= Qq/ 4PI E0 r
35
And what is equation for potential
Potential = Q/ 4Pi E0r
36
What happens if one of the charges are negative , what does this mean for value of epe
Yh epe will also be negative but this jus means it’s attractive force so energy need to pull them away
37
Units for electric potential
Volts
38
So what is potential different electric
Simply the different in potential between two points , this what voltmeter does
39
When doing and deriving equaruon for potential what is assumed potential at infinity
By dfeifntjin the work done from infinity to infinity would be 0 so potential 0 too
40
Okay so what is a capacitor again If a sphere has charge isolated is it a capacitor?
Capacitor is an object thst stored charge Yes because it stored charge Thus this must have capacitance based on distance
41
Derive equation of capacitance for a sphere of charge q
As c = Q/V And we know now Q= 4pie0rV Then V cancel out So capacitance for a sphere = 4piE0r
42
How can earth be modelled as a capacitor or in space
Just needs radius and it has capacitance that’s why
43
So in a sphere what’s the only thing that determines capacitance interestingly
Just the radius !
44
Finally what is equipotentisl lines
These are lines in which the potential is the same so there can be no potential difference between them and energy difference either (I think)
45
Okay so in that question uniform electric field so infirm firce, why is work done only downwards
As work done is force time displacment cos theta or displacment in direction of force, sideways there is no force (bun equipotential), but there is a constant force down in the direction So wd = fd And f = eq But in questions where it isn’t a constant force but rather radial, need to integrate instead This why wd = KQq/ r
46
How to find the net potential due to certain charges at a point?
Find the Indian potentials cashed by charged and add them up
47
How to find net electric field by different charged
Here draw the radial field lines and here you gonna have to cancel out using components ! Identify the ones which cancel or sum
48
Can a point have zero potential and net electric field, give Verna or none at all
Yes! Remember potential is infinity to that point so irrespective of the field Field depends on surrounding fields
49
Finally what to do in net electric field problem
Once found horizontal and vertical = pythag
50
In general find net electric field how
Jus isolate the charged and use formula if electric field due to point charge
51
10 new formulas name them Electric field definition Force due to two charges electric field Electric field due to point charge Electric field in parallel plate with voltage capacitor Equation for capacitance Equation for cappacitsnce with variables in parallel plate Equation for permitivity Definition of epe (potential ) and equation Potential equations Cappaciatsnc in a sphere
52
Work done in a parsley plate on electron
= vQ