Module 6: Chapter 22 - Electric Fields Flashcards
What is an electric field?
The area around an object in which a charge would experience a force
What is the electric field strength?
The force per unit positive charge
What is the equation for the force acting upon an object within an electric field?
F = EQ
Force = Electric Field Strength x Charge
What are the rules for drawing electric field lines?
- The arrow on an electric field shows the direction of the field
- Electric field lines are always at right angles to the surface of a conductor
- Closer electeric field lines represent greater electric field strength
What does a uniform electric field look like?
Equally spaced, parallel electric field lines
In what direction do electric field lines go?
- Away from a positive charge
- Towards a negative charge
Draw a diagram showing the electric field between 2 positive charges
Draw a diagram showing the electric field between 2 negative charges
Draw a diagram showing the electric field between a positive and a negative charge
Draw a diagram showing the electric field around a positive bar
Draw a diagram showing the electric field between a positive and a negative plate
Field in the centre is a uniform field
Draw a diagram showing the electric field between a positive sphere and a negative bar
A proton is accelerated from rest by a uniform electric field of field strength 2x10⁵ NC⁻¹. Mass of proton = 1.7x10⁻²⁷ kg. What is the time is takes to travel 5cm?
7.3x10⁻⁸s
What is coulombs law?
The force between 2 electric charges Q and q is proportional to Qq and inversely proportional to the square of their separation r
What are the 2 equations for the force between 2 charges?
(coulombs law)
F = kQq/r²
F = qQ/4πεₒr²
What is the value of the constant of proportiobality (k) in coulombs law?
k = 8.99x10⁹
What is the equation for the constant of proportionality (k) in coulombs law?
k = 1/4πεₒ
What is εₒ?
The permittivity of free space
What is the value of εₒ (permittivity of free space)?
8.85x10⁻¹²
What is the equation for electric field strength with varying distance?
E = Q/4πεₒr²
What is the major difference between electric and gravitational fields?
- Gravitational fields ALWAYS attract
- Electric fields can both attract and repel
What is the property that creates gravitational fields?
Mass
What is the property that creates electric fields?
Charge
What is the equation for the uniform electric field between 2 parallel charged plates?
E = V/d
Explain why the electric field between 2 parallel plates is uniform:
A charge will experience the same force wherever it is placed between the plates
What are the units for electric field strength?
NC⁻¹ or Vm⁻¹
What is the equation for the capacitance on a parallel plate capacitor?
C = εA/d
d = separation between the plates
A = area of overlap of the plates
ε = εₒεᵣ
ε = permittivity of free space x relative permittivity
How was it discovered that charge is quantized?
Millikan’s oil drop experiment
Explain Millikan’s oil drop experiment
A mist of oil droplets are sprayed inside the chamber using an atomizer. The friction experienced by the oil droplets as they are sprayed caused some of them to become charged. The oil droplets then fell down due to gravity and some of them passed through the gap in the anode. A potential difference was then applied, causing the electric field to turn on. By carefully adjusting this potential difference they could cause an oil droplet to be suspended stationary in mid air. From this the charge on the oil droplet could be calculated:
Force from electric field = Weight
EQ = mg
Q = mg/E
Q = ρvg/E
The volume could be determined as the drops were modelled as perfect spheres (and the radius could be determined by measuring the terminal velocity of the drop as it fell without an electric field. Therefore the drag is equal to the weight and can be used to determine r)
This was repeated and it was found they were all multiples of the lowest charge found on any droplet, this was the elementary charge
What is the equation for the work done on a charge within an uniform electric field?
W = Vq
Work done = Potential Difference x Charge
Calculate the velocity an electron is accelerated to by a potential difference of 1.5V
730 kms⁻¹
What is the mass of a proton?
1.673x10⁻²⁷kg
How do you predict the motion of a charged particle travelling at a right angle to a uniform electric field?
Analyse the vertical and horizontal components of the motion independently
How far will the electron “fall” from its path while in-between the 2 plates?
4.11x10⁻³m
Explain Electric potential energy
If 2 attracting charges were put in an electric field, side by side, and then a force was applied on the negative charge in order to separate them, the work done to do this separation would be the electric potential energy difference (measured in joules) between the 2 charges in their new location
How can you calculate the electric potential energy from a force-separation graph?
area under the curve
What is the equation for electric potential energy (difference)?
E = Qq/4πεₒr
Find the work done to move a charge from position 1 to position 2
0.899J
Calculate the electrical potential energy within a hydrogen atom if the electron is orbiting at a distance of 5.29x10⁻¹²m (in Electron Volts)
272eV
What is electrical potential?
The work done to bring a unit positive charge from infinity to a point
What is the equation for electrical potential?
V = Q/4πεₒr
What is the electrical potential in the field of a 5nC point charge at a distance of 0.75m from the charge?
59.9V
What is the equation for the capacitance of a charged sphere?
C = 4πεₒr
What is the equation for capacitance?
C = Q/V
What are equipotential lines?
Lines that link points of equal electric potential in an electric field
What is the link between electric field lines and equipotential lines?
They are perpendicular to one another
What are similarities between a graviational and an electric field?
- Both produce a radial field
- Field strength ∝ 1/r²
What happens to the angle of deflection if the distance between the moving charge and stationary charge increases?
The angle of deflection decreases