A) \[R={{R}_{1}}{{R}_{2}}/({{R}_{1}}+{{R}_{2}})\]
B) \[R={{R}_{1}}{{R}_{2}}/({{R}_{2}}-{{R}_{1}})\]
C) \[R={{R}_{2}}\times ({{R}_{1}}+{{R}_{2}})/({{R}_{2}}-{{R}_{1}})\]
D) \[R={{R}_{2}}-{{R}_{1}}\]
Correct Answer: D
Solution :
\[i=\frac{2E}{R+{{R}_{1}}+{{R}_{2}}}\] From cell (2) \[E=V+i{{R}_{2}}=0+i{{R}_{2}}\] Þ \[E=\frac{2E}{R+{{R}_{1}}+{{R}_{2}}}\times {{R}_{2}}\] Þ \[R={{R}_{2}}-{{R}_{1}}\]You need to login to perform this action.
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