mr duddles circuit top tips
internal resistance
the resistance of the battery due to the materials its made from and causes energy to be wasted in the form of heat (results in lost V)
3 circuits - ammeter lamp battery voltmeter
1 - wire not connected
2 - all connected properly
3 -another wire connected across the lamp
1 - if no current flows voltmeter shows emf of battery
2 - when current flows you lose some of the emf to the internal resistance of the battery
3 - if a component is short circuited high I flows through the low R wire not the component so we lose more emf when high I flows
in series emf = (in terms of internal resistance)
emf = output voltage (terminal pd) + lost volts
E = V + Ir
experiment to measure r
internal resistance of a car battery
I = E/ (R+r)
starter motor has low R
E is about 15V
starter motor requires a large I
r needs to be low to supply the high I
internal resistance of a school power pack
I = E/ (R+r)
E is up to 12V
r I large (+circuit breaker) to prevent dangerously high I
eg is some idiot connects a low R wire causing it to short circuit
max P out
max P out from a cell is when the load R (R of a component) = internal resistance
R = r
E in series and parallel
series
- total E = E1 + E2…
- if connected backwards subtract emf
parallel
- total E = E
r in series and parallel
series
- total r = r1 + r2…
parallel
- total r = r/2 (if 2 identical)
- 1/rt = 1/r1 + 1/r2…
efficiency
proportion of useful energy/ power out from the total energy/power in
efficiency equations
%efficiency = useful Eout/ total Ein *100
% efficiency = useful Pout/ total Pin *100
useful Pout =
Pin - Pwasted
cells get hot due to
power losses in r
battery charger
potential dividers
3 ways to calculate V out
1 - find I = Vt/R1+R2
- then Vout = IR2
2 - use ratios
- R1/R2 = V1/V2
3 - use potential dividers eq
- Vout = Vt ( R2/(R1 +R2))
- assumes voltmeter has infinite resistance
why is Vout reduced in potential dividers
potentiometer
rheostat
sensor circuits
why a sensor circuit can turn on heating when temp gets too low