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(C) Apply Kirchhoff's voltage law to the loops.For the left loop $BCFAB$:$4I_1 + 2I_1 = 30 - 6$$6I_1 = 24 \Rightarrow I_1 = 4\,A$Since this equation d

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Both $30\,V$ and $15\,V$ batteries do not produce current in the branch $CF$.

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(C) Apply Kirchhoff's voltage law to the loops.For the left loop $BCFAB$:$4I_1 + 2I_1 = 30 - 6$$6I_1 = 24 \Rightarrow I_1 = 4\,A$Since this equation does not contain the $I_2$ term,the current in the left loop is independent of the right loop.For the right loop $DCFED$:$1I_2 + 2I_2 = 15 - 6$$3I_2 = 9 \Rightarrow I_2 = 3\,A$Since this equation does not contain the $I_1$ term,the current in the right loop is independent of the left loop.The net current flowing through the $6\,V$ battery is $I = I_1 + I_2 = 4 + 3 = 7\,A$. Since the current flows into the positive terminal of the $6\,V$ battery,it is being charged. Thus,both the $30\,V$ and $15\,V$ batteries produce current in the branch $CF$. Therefore,statement $(C)$ is incorrect.

The figure shows a network of four resistances and three batteries. Mark the incorrect statement.

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