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Q. Find the value of $R$ for which no current will flow through $5\, V$ battery.Physics Question Image

Current Electricity

Solution:

If no current flows through $5\, V$ battery, then potential difference across $f$ and e is $5 \,V$. So potential difference across $d$ and $c$ is also $5 \,V$.
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$i=\frac{10}{R+1}$
$i R=5 \Rightarrow \frac{10}{(R+1)} R=5 $
$\Rightarrow R=1 \,\Omega$