Electricity and Magnetism Flashcards
What is the definition of an Electric Field?
“A region of space where a charged object experiences a force due to its charge”
What is the definition of an Electric Field Strength (E)?
“Force per unit charge experienced by a small positive test charge placed in the field.” E = F/q (if field is uniform then: E=V/d)
What is the potential difference between two points defined as?
“The work done (or energy transferred)(W) when one unit of charge (q) moves between two points” V=W/q
Electronvolt defined as?
“One electronvolt is the energy an electron would gain by being accelerated by a potential difference of 1 volt.”
I = ∆q/∆t
I = Current (A)
∆q = amount of charge (C)
∆t = time (s)
Elementary Charge (e)
1.6 X 10^-19 C
F = kq1q2/r^2
F = Force (N)
k = coulomb constant (8.99x10^9 Nm^2C^-2)
q1q2 = charges (C).
r = distance between charges (m)
k = 1/4π Eo
Eo =8.85 × 10-12 C2 N-1 m-2
E = F/q
E = Electric field strength (NC-1 or Vm-1).
F = force exerted on a charge (N).
q = charge placed in the field (C)
E = V/d
E = Electric field strength (NC-1 or Vm-1)
V = voltage-producing field (V).
d = distance between plates (m)
V = W/q
V = potential difference (V or JC-1).
W = work done (energy gained/lost) (J).
q = amount of charge (C)
E = kq1/r2
The field strength at a specific distance from the charge that is creating the field
I = nAvq
A = πr^2 (if circular)
q = 1.6 x 10^-19 (C)
I = current (A).
v = drift velocity (ms-1).
n = number of charge carriers per m^3
Series Circuits
- Same current around circuit
- Sum of the voltages (potential differences) across components adds to supply voltage (V= V1 + V2)
Parallel Circuits
- The current splits up between branches ( I = I1 + I2)
- The voltage (potential difference) across each branch is the same
R = V/I
V = voltage (potential difference) (V)
I = Current (A)
R = Resistance (Ω)
P = IV
P = power (W)(Js-1)
I = Current (A)
V = voltage (potential difference) (V)
P = E/t
P = power (W)
E = Energy (J)
t = time (s)
*not given
3 effects of current
Heating, Magnetic & Chemical
Total resistance (R) for resistors connected in series?
Rtotal = R1 + R2 + …
Total resistance (R) for resistors connected in parallel?
1/Rtotal = 1/R1 + 1/R2 + …
ρ = RA/L
ρ = resistivity (Ωm) (property of a substance)
R = resistance (Ω)
A = cross-sectional area (m^2) (is circular A = πr^2)
L = length (m)
Ohm’s Law?
“The current flowing through a piece of metal is proportional to the potential difference across it providing the temperature remains constant”
P = I^2R
P = power (W)(Js-1)
I = Current (A)
R = resistance (Ω)
P = V^2/R
P = power (W)(Js-1)
R = resistance (Ω)
V = voltage (potential difference) (V)
I1 = I2 + I3
Kirchhoff’s Laws: At any junction in a circuit, the total current entering the junction equals the total current leaving (conservation of charge)
+V1 - V2 - V3 = 0
Kirchhoff’s Laws: Around any closed path of a circuit, the total of all the potential differences (∆V) is zero. (conservation of energy)
ϵ = I(R + r)
ϵ = EMF (V)
I = Current (A)
R = circuit resistance (Ω)
r = internal resistance (Ω)
EMF (ϵ) Definition?
“Energy supplied per unit charge by the power supply to the circuit”
Thermistors
Temperature increase - Resistance of thermistor decreases
Light Dependent Resistors (LDR)
Light intensity decreases - Resistance of LDR increases
Stain Gauges
When stretched cross-sectional area gets smaller - resistance increases
Primary Cells
- Cannot be recharged
- Irreversible chemical reaction
Secondary Cells
- Designed to be recharged
- Reversible chemical reaction
F = qvB sinθ
q = charge (C)
v = velocity of charge (ms-1)
B = magnetic field strength (T)
θ = angle between velocity & magnetic field (usually 90° so F = qvB) (sin 90 = 1)
*Force is always right angles to the velocity of the charge so the resultant motion is circular
F = BIL sinθ
The motor effect
B = magnetic field strength (T)
I = current in wire (A)
L = length of wire WITHIN the magnetic field (m)
θ = angle between current & magnetic field (usually 90° so F = BIL)
Coulombs Law
Force between two point charges is:
- Proportional to the product of their charges
- Inversely proportional to the square of their separation
Current
rate of flow of electric charge
Drift Velocity
the speed at which electrons move due to the current
emf
energy supplied per unit charge
Internal resistance
the resistance of the components of the cell itself that leads to energy loss in the cell
Kirchhoff’s Current Law
at any junction in a circuit, the total current entering the
junction equals the total current leaving
Kirchhoff’s Voltage Law
around any closed path of a circuit, the total of all the potential differences (ΔV) is zero.
Resistance (R)
the ratio of potential difference across the component to current flowing through the component
Resistivity
a measure of how the substance opposes the flow of electric current