The Potential difference between point
between point A&B ( VA - VB)
is :
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I'm presuming that the unknown resistance is R.
Let point A is at a potential V(a)
and, let pot B is at a potential V(b).
Use Kirchhoff Voltage Law on the circuital line AB:
V(a) - 2R -3 -2(1) - V(b) = 0
V(a) - V(b) -5 -2R = 0
V(a) - V(b) = 5 + 2R
V(ab) = 5 + 2R
Hence, the potential difference b/w point A and B is V(ab) = 5 + 2R.
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