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## Homework Statement

Task: Find the voltage across the terminals

**a**and

**b**in the circuit (Done).

My question: Why does the solution work?

## Homework Equations

Current division

i

_{x}= I

_{source}* G

_{branch}/G

_{equivalent}

## The Attempt at a Solution

The voltage across (or is it between ?) the terminals is the same (why ?) as the voltage drop at the branch with the 2, 12 and 10 Ohm resistors, which is 45 Volts. This was found by first finding the current flowing through the branch with the current division principle, i = 3.75 A.

As I stated above, why is the voltage across the terminals the same as the voltage drop at the branch with the 2, 12 and 10 Ohm resisotrs?

The circuit is attached below.