AaronAndyson
  • AaronAndyson
Derive the equivalent resistance of: Parallel Circuit. Series Circuit.
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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dan815
  • dan815
what do u mean
dan815
  • dan815
like actually work up to a resistance equation in circuits based off the collisions?
AaronAndyson
  • AaronAndyson
It says use Ohm's law...

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dan815
  • dan815
okay phew
dan815
  • dan815
so we have V=IR atleast
AaronAndyson
  • AaronAndyson
Yes.
dan815
  • dan815
now lets see what happens across 2 series resistors first
dan815
  • dan815
|dw:1443334063693:dw|
dan815
  • dan815
can we use kirchoffs law too
dan815
  • dan815
you know that if you sum up the voltages at every node around a look it has to equal 0
dan815
  • dan815
|dw:1443334173706:dw|
dan815
  • dan815
now the current through resistor 1 is (v1-v2)/r1 current through resistor 2 is (v2)/r2
dan815
  • dan815
and the current through both of these have to be equal as its just 1 line of wire
AaronAndyson
  • AaronAndyson
Um.You have used KCL/KVL?
dan815
  • dan815
ya is that not allowed
AaronAndyson
  • AaronAndyson
They prefer to use Ohm's law..
dan815
  • dan815
okay
dan815
  • dan815
|dw:1443334589905:dw|
dan815
  • dan815
kvl is really ohms law
dan815
  • dan815
|dw:1443334664092:dw|
dan815
  • dan815
we want to find R_T such that V=i*R_T where V is the source voltage
dan815
  • dan815
which is V1 in this case
dan815
  • dan815
|dw:1443334764654:dw|
dan815
  • dan815
so R_T = R1+R2
dan815
  • dan815
make sense?
AaronAndyson
  • AaronAndyson
Yep.
dan815
  • dan815
|dw:1443334898425:dw|
dan815
  • dan815
|dw:1443334924986:dw|
dan815
  • dan815
you want to work on this one yourself?
dan815
  • dan815
I think you get the general idea right, you want to rearrange it in a form such that its i*(some resistor exprssion)
AaronAndyson
  • AaronAndyson
I guess.
dan815
  • dan815
from the eequations above you can just solve for R_T
AaronAndyson
  • AaronAndyson
?
dan815
  • dan815
ya just manipulation its not too bad
dan815
  • dan815
good luck
AaronAndyson
  • AaronAndyson
What about Parallel Circuit?
dan815
  • dan815
thats what im saying just play around with it
dan815
  • dan815
|dw:1443335708153:dw|
dan815
  • dan815
solve for RT interms of R1 and R2
dan815
  • dan815
given those ste of 4 equations
dan815
  • dan815
i dont have neuff space to write out the equations and work it in draw tool
dan815
  • dan815
just do it on paper
dan815
  • dan815
|dw:1443335796472:dw|
dan815
  • dan815
|dw:1443335874626:dw|
AaronAndyson
  • AaronAndyson
Thanks..
dan815
  • dan815
its missing steps
dan815
  • dan815
just put them in
AaronAndyson
  • AaronAndyson
Getting conused..
AaronAndyson
  • AaronAndyson
confused*
dan815
  • dan815
what are you confused about
AaronAndyson
  • AaronAndyson
Everything ....
dan815
  • dan815
|dw:1443336583548:dw|
dan815
  • dan815
do you get these 4 equations
dan815
  • dan815
they are from ohms law
dan815
  • dan815
technically KCL is there too but that is just a result of ohms law

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