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Refer to the figure given below, current between terminals $$A$$ and $$B$$ is _______A.
Look at one horizontal branch (top/middle/bottom):
each branch has
3 cells of 5 V and 3 resistors of 3 Ω in series
so for each branch:
net emf = 5 + 5 + 5 = 15 V
total resistance = 3 + 3 + 3 = 9 Ω
so current in each such branch (if isolated):
I = 15 / 9 = 5/3 A
Now there are 3 identical branches in parallel, all between the same left and right nodes
so total current from these three:
$$I_{total}(top\ part)=3\times(5/3)=5A$$
bottom branch (A to B):
only resistors: 3 + 3 + 3 = 9 Ω
no battery
so it behaves like a resistor connected across the same two nodes
Now the three upper branches together act like a single source supplying 5 A between the nodes
this current must pass through the bottom 9 Ω path
so:
I = 5 A
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