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Consider the circuit shown in the figure...

Consider the circuit shown in the figure. Taking the potential to be zero at the negative terminal of the battery :

Text Solution

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`(sumi=0atpointF)`
(V_(F)-V_(c))/(R)+(V_(F)-V_(B))/(R)+(V_(R))/(4R)=0ldots(1)`therefore(V_(A)=V_(B))`(2i = 0 at point F)
Also`(V_(C)-V_(F))/(R)+(V_(C)-V_(B))/(R)+(V_(c))/(2R)=0ldots(2)`
Using (1) & (2)`(V_(F))/(V_(C))=(14)/(13)thereforek=7`
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