The question states that the student is trying to use conservation of charge and conservation of energy to prove ….. and part c is asking you to complete the proof.
The proof provided by you states the following:
Resistors in series
Resistors in parallel have a total current through them that is the sum of their individual currents.
The pd across them will be the same in each branch.
Resistors in parallel
A group of components in series have a total current through them that is the same throughout each one.
The pd across the resistors is equal to the sum of their individual values (accounting for the direction of their positive and negative sides).
You just state them without linking them to the conservation law and did not show how do you arrive these results, so you are just stating results without explaining how you arrive the result.
The lenient teachers would give the benefit of doubts for such workings.
However, I doubt your understanding as can be seen from part b.
For (b), it seems that you are adamants to change your thinking and use the given hints.
IMO, you keep doing the following:
You are asked to show A = B from a conservation law,
Then you state
A = B (by inferring from another rule that is derived from the conservation law.)
B = C
C = A
B = A
So A = B.
In the past posts, you are just doing a different version and expect it to be correct.
The question is clear in asking you to derive
EMF =
V1 +
V2 but you are using
EMF =
V1 +
V2 to derive
EMF =
V1 +
V2 If this is done once, I am ok but this is done thrice. This is insane!
Didn’t I state the following in post #4:
Energy delivered by the battery = Energy transferred to resistor R1 + Energy transferred to resistor R2
This is the conservation of energy for the circuit that has a battery of emf EMF connected to two different resistors (R
1 and R
2) in series
Your job is to do the following:
Energy delivered by the battery = Energy transferred to resistor R1 + Energy transferred to resistor R2
….
….
EMF = V1 + V2
The missing part(s) are your jobs.
Hints for the missing parts:
Make use of the definition of emf and potential difference across a resistor.
OR
Imagine a unit of charge
Q passes through the battery, what is work done by the battery? (See the definition of emf)
Next, imagine the same unit charge
Q passes through resistor R
1 of resistance
R1, what is the work done on the unit charge? (See the definition of potential difference)
The word “imagine” is important.
PS: A lot of students just memorise and state definition emf and potential difference without really thinking about the implication and meaning.