Merge remote-tracking branch 'origin/master'

This commit is contained in:
Nanokloon 2025-04-03 14:48:58 +02:00
commit ff336235f9
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## **Main topics:** Introduction, Basic concepts, Ohms law
- pass the circuit labs
- mandatory!
- 2 partial exams
- trial exam week 4
- 6 SGH's --> only best 5 count
- bonus points --> dewit
- check [Brightspace](https://brightspace.tudelft.nl)
-----
# Content
Syllabus on [Brightspace](https://brightspace.tudelft.nl)
- Dc circuits
- Basis
- electrical elements
- circuit analysis methods
- Dynamic circuits
- end of q1 with Time-domain solutions
-----
# Actual lecture
#OhmsLaw
## The basis
- Volta --> sustained electrical stimulus "Volta Pile"
- move cells ("More Volts") --> more "energetic" a stimulus
- nr of volts = voltage
- **one always needs 2 points for tapping the energy**
- Voltage -> 2 access points
- An electric current deflects a magnetic needle
- galvanometer --> precise method for measuring electric currents
- measures current and uses fancy math to measure volts
- two basic, easily measurable quantities
- voltage + current
- Pairs of access points
- at which the supplied energy
- between which the current
**Both can be unambiguousy measured** (predicted)
= ports
Circuit analysis = the analysis of the relations between voltages and currents at given ports
We study circuits
- made from electrical elements (lumped elements , idealized)
- connecting wires (ideally 0 v over the wires)
### Si system
current -> Ampere
Charge -> s\*A -> Coulomb (C)
electrical potential -> volt
Charge = an electrical property of sub-atomic constituents measured in Coulomb (C)
charge of electron = e = -1.6 \* 10^-19 C
Electric current: a measure of the temporal variation of the electric charge, measured in A(mpere)
$$
i = \frac{dq}{dt} \newline
$$
DC = a current that remains constant with time
AC = current that varies sinusoidally with time
A positive value for the current indicates a flow in the direction of the arrow (reference direction)
a negative value -- \\ -- in the opposite direction of the arrow
the potential difference between two points is denoted as voltage
the potential is the electrical potential energy per unit charge
$$
V_ab = \frac{w}{q}
$$
Voltage --> across
Current --> through
power = energy/time
instantatneous power = p = dw/d = dw/dq \* dq/dt = v\*i
energy -> power (iintegration)
$$
w(t) = \int
$$
if voltage and current are both positive --> the positive charges move from a higher potential to a lower potential (in the direction of the current) (from + to -)
The component absorbs power --> passive component
\
### Resistance and ohms law
- ratio v(t)/i(t) at the same time instant t
- = elements ability to resist the flow of electric current
- wire like conductors
$$ R = \rho \cdot \frac{l}{A} \newline $$
$$ \rho = resitivity $$
$$ l = length\ of\ wire $$
A = cross-sectional area
conductance = reciprocal or resistance
\[G\] = S(iemens)
$$ G = \frac{1}{R} = \frac{i}{v} $$
most materials have non-linear resistance