A) \[R=\frac{V}{I}\]
B) \[R=\frac{V}{I-\left( \frac{V}{{{R}_{V}}} \right)}\]
C) \[R={{R}_{v}}-{{R}_{A}}\]
D) \[R=\frac{V\left( R+{{R}_{A}} \right)}{I{{R}_{A}}}\]
Correct Answer: B
Solution :
\[\frac{R{{R}_{V}}}{R+{{R}_{V}}}.I=V\] |
\[\frac{R{{R}_{V}}}{R+{{R}_{V}}}=\frac{V}{I}\Rightarrow \frac{I}{V}=\frac{1}{R}+\frac{1}{{{R}_{V}}}\]\[\Rightarrow \]\[\frac{I}{V}-\frac{1}{{{R}_{V}}}=\frac{1}{R}\]\[\Rightarrow \]\[R=\frac{1}{\frac{1}{V}-\frac{1}{{{R}_{V}}}}=\frac{V}{I-\left( \frac{V}{{{R}_{V}}} \right)}\] |
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