Five resistances are connected as shown in the figure. The effective resistance between the points $A$ and $B$ is
Medium
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The given circuit is a balanced Wheatstone bridge type, hence it can be simplified as follows
$R_{AB}=\frac {10}{3}\,\Omega $
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A potentiometer wire of length $1\,m$ and resistance $10\,\Omega$ is connected in series with a cell of $emf$ $2\,V$ with internal resistance $1 \,\Omega$ and a resistance box including a resistance $R$. If potential difference between the ends of the wire is $1\, mV$, the value of $R$ is ............. $\Omega $
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