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Consider the following circuit consisting of 2 batteries and 2 resistors.

How would I find the value of the potential at points $a$ and $b$?

In my initial attempt I assumed that the value of the current was consistent throughout the loop (which is where I think I went wrong) and tried to use Kirchoff's Loop Rule, giving, but seeing as there are no nodes I'm not sure how to go about solving it after.

Additional Info Edit: Using Kirchoff's, I thus far found:

V1 - R1I - V2 - R2I = 0

Solving for intensity:

I = (V1 - V2) / (R1 + R2)

And so the potential difference across is V = R1I = R1(V1 - V2) / (R1 + R2).

So the potential at a would be V1 - R1*(V1 - V2) / (R1 + R2).

Consider the following circuit consisting of 2 batteries and 2 resistors.

How would I find the value of the potential at points $a$ and $b$?

In my initial attempt I assumed that the value of the current was consistent throughout the loop (which is where I think I went wrong) and tried to use Kirchoff's Loop Rule, giving, but seeing as there are no nodes I'm not sure how to go about solving it after.

Additional Info Edit: Using Kirchoff's, I thus far found:

V1 - R1I - V2 - R2I = 0

Solving for current:

I = (V1 - V2) / (R1 + R2)

And so the potential difference across is R1 is V = R1I = R1(V1 - V2) / (R1 + R2).

So the potential at a would be V1 - R1*(V1 - V2) / (R1 + R2).

Consider the following circuit consisting of 2 batteries and 2 resistors.

How would I find the value of the potential at points $a$ and $b$?

In my initial attempt I assumed that the value of the current was consistent throughout the loop (which is where I think I went wrong) and tried to use Kirchoff's Loop Rule, giving, but seeing as there are no nodes I'm not sure how to go about solving it after.

Consider the following circuit consisting of 2 batteries and 2 resistors.

How would I find the value of the potential at points $a$ and $b$?

In my initial attempt I assumed that the value of the current was consistent throughout the loop (which is where I think I went wrong) and tried to use Kirchoff's Loop Rule, giving, but seeing as there are no nodes I'm not sure how to go about solving it after.

Additional Info Edit: Using Kirchoff's, I thus far found:

V1 - R1I - V2 - R2I = 0

Solving for intensity:

I = (V1 - V2) / (R1 + R2)

And so the potential difference across is V = R1I = R1(V1 - V2) / (R1 + R2).

So the potential at a would be V1 - R1*(V1 - V2) / (R1 + R2).

Consider I have the following circuit consisting of 2 batteries and 2 resistors.

How would I find the value of the potential at points a and b?

In my initial attempt I assumed that the intensity of the current was consistent throughout the loop (which is where I think I went wrong) and tried to use Kirchoff's Loop Rule, giving, but seeing as there are no nodes I'm not sure how to go about solving it after.

Consider the following circuit consisting of 2 batteries and 2 resistors.

How would I find the value of the potential at points $a$ and $b$?

In my initial attempt I assumed that the value of the current was consistent throughout the loop (which is where I think I went wrong) and tried to use Kirchoff's Loop Rule, giving, but seeing as there are no nodes I'm not sure how to go about solving it after.