this is my question physics .. the current electricity
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At the middle of potentiometer wire, we can divide it into two resistances each of resistance R°/2 since potentiometer wire is uniform.
So, we can write equivalent resistance of left half (as in diagram) as 1/Req=1/R + 1/(R°/2)
Req=R×R°/(R°+2R)
Let current i be flowing through the circuit,
Potential difference across left half=i×Req
Across right half, potential difference is i×R°/2
By Kirchoff's voltage law,
V-i×Req-i×R°/2=0 -(1)
According to the question, we need to find i×Req
From (1),
i×Req=V-i×R°/2 -(2)
i=V/(Req+R°/2)... by ohm's law
Substitute this in (2).
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