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Q. In the circuit shown, calculate the current through $6 \,V$ battery.Physics Question Image

Current Electricity

Solution:

Equivalent circuit:
image
$I=\frac{5-5}{8}=0 \Rightarrow V_{A}-V_{B}=0$
So current will be only in the smaller loop containing $6 \,V$ and $4 \,V$ battery. So current through $6\, V$ battery,
$I^{\prime}=\frac{6-4}{4}=\frac{1}{2} A$