Fields Flashcards

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1
Q

Direction of the field

A

Gravitational- direction of the force on a small test mass at that point

Electric- direction of a force on a positive charge at that point

Magnetic- direction of force in a magnetic North Pole

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2
Q

Radial field

A

Directed towards centre
Diverges
Strength of field decreases as density of lines decreases

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3
Q

Uniform field

A

Lines are equally spaced and parallel
Same magnitude and direction throughout
Near field limit

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4
Q

Newton’s law of gravitation

A

F= GMm/ r^2

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5
Q

Gravitational constant

A

6.67 x 10^-11 Nm^2kg^-2

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6
Q

Relationship T and r

Kepler’s law

A

T^2 proportional to r^3

T^2 = 4pi^2/ GM r^3

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7
Q

As r increases …

A

Speed of satellite decreases (v = GM/r)

Period of satellite increases

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8
Q

Geosynchronous orbit

A

Period of 24 hours
Or it’s above the equator
Or it’s in the same direction as the Earth’s rotation

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9
Q

Geosynchronous satellites in communication

A

Dish can be pointed at a fixed point (does not have to track)

Dishes needed as the weak signal can be collected across the area of the disc and focussed on the receiving antenna

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10
Q

Gravitational field strength

A

g = GM/r^2

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11
Q

Gravitational potential

A

V =-GM/r

Scalar

Units = J/kg

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12
Q

V at infinity

A

0

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13
Q

Work (gravitational)

A

W = mdV

Away = positive
Towards =negative

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14
Q

Gravitational potential energy

A

U= -GMm/r

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15
Q

Kinetic energy

A

Ek= GMm/2r

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16
Q

Total energy (gravitational)

A

Et = -GMm/2r

Negative

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17
Q

Increasing Et

A

Gains energy, less negative, r increases

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18
Q

Escape velocity

A

Root (2gR)

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19
Q

Coulomb’s law

A

F = Qq/4pi epsilon r^2

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20
Q

Positive

A

Repulsive

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21
Q

Epsilon 0

A

Permittivity of free space
Ease of setting up an electric field
8.85 x10^-12

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22
Q

Similarities between gravitational and electric fields

A

Inverse square law for forces
Non contact forces
Infinite range

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23
Q

Difference gravitational and electric fields

A

Electric acts on changes, gravitational on masses

Gravitational is attractive whereas electric can be attractive or repulsive

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24
Q

Electric field strength

A

E= Q/ 4 pi epsilon r^2

25
Q

Electric potential

A

V = Q/ 4pi epsilon r

Scalar

26
Q

Sign of W

A

+/- negative work

+/+ or -/- positive work

27
Q

Potential gradient (electric)

A

E = dV/ dr

28
Q

Work (electric)

A

W =qdV

29
Q

Equipotential lines

A

Lines of equal potential

At right angles to the field

30
Q

Electrical potential energy

A

U = Qq/4 pi epsilon r

Energy of whole system

31
Q

Distance of closest approach

A

R min = Qq/ 2pi epsilon m v^2

32
Q

Capacitance

A

C=Q/V

Farads F

33
Q

Work done by a capacitor

A

E = 1/2 QV

E = 1/2 C V^2

E = 1/2Q^2/C

34
Q

Time constant

A

RC

Seconds

35
Q

Charging a capacitor

Charge

A

Q = Qmax (1-e^-t/RC)

36
Q

Charging a capacitor

Voltage

A

V = Vmax (1-e^-t/RC)

37
Q

Charging a capacitor

Current

A

I = Imax e^-t/RC

38
Q

Discharging a capacitor

Charge

A

Q = Qo e^-t/RC

39
Q

Discharging a capacitor

Voltage

A

V = Vo e^-t/RC

40
Q

Discharging a capacitor

Current

A

I = Io e^-t/RC

41
Q

Relative permittivity

A

Epsilon r = C/Co

C = capacitance with dielectric 
Co = capacitance with vacuum
42
Q

Capacitance equation (dielectric)

A

C = epsilon o epsilon r A/ d

43
Q

Current at right angles to the field feels force

A

F = BIl

44
Q

Fleming’s left hand rule

A
Thumb= force 
1st = field 
2nd = current
45
Q

Force on a moving charge perpendicular to the field

A

F = Bqv

46
Q

Charged particle moving parallel to a magnetic field

A

No force

47
Q

Radius of a circular path

A

r= mv/Bq

48
Q

Time period for 1 full circle

A

T = 2 pi m/ Bq

49
Q

Acceleration in a magnetic field

A

Changes direction so changes v so accelerated
Circular path
F is perpendicular to v and B
No work done so Ek does not change, so no increase in speed

50
Q

Why a cyclotron needs to be evacuated

A

Collisions, loss of Ek, deceleration, changes v which changes r

51
Q

Alternating charge of the dees of a cyclotron

A

So proton accelerated across the gap
Needs to alternate and reverse electric field
Polarity can switch at regular intervals
Frequency = Bq/ 2 pi m

52
Q

The feature of the ions that allows them to be separated

A

In ion separator v B and q are constant
r= mv/Bq
Ions departed due to their mass

53
Q

Velocity selected in a velocity separator

A

Only 1 velocity where Bqv= Eq and there will be no deflection

V=E/B

54
Q

Why ions originally have a range of speeds

A

Gases
Random continuous motion of gases
Brownian motion
Move with varying speeds and directions

55
Q

Magnetic flux

A

Phi= BA cos theta

Theta= angle between field lines and normal to plane of the area

56
Q

How to reduce magnetic flux

A

Reduce B
Reduce A
Rotate- as the angle changes as will the area perpendicular to the field

57
Q

Faraday’s law induced EMF

A

EMF = N dphi/ dt

58
Q

To increase the induced EMF

A

Increase N
Increase v and increase l (which increases A)
Increase B

59
Q

For a rod length l moving at constant speed v

A

EMF = BvL