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The total current supplied to the circuit by the battery is [Figure: a circular wire with a centre node O. The circle is broken by a 6 V battery (upper left) and a 3 Ω resistor (right). The upper arc between them, node X, receives the outer ends of a 2 Ω and a 6 Ω radial resistor. The lower arc, node Y, receives the outer end of a 1.5 Ω radial resistor. The inner ends of all three radial resistors meet at O. So the battery and the 3 Ω are both connected between X and Y.]

Asked in JEE Main 2004 · Series and parallel combinations

Figure: Series and parallel combinations
Answer: (3) 4 A

Step-by-step solution

2 Ω and 6 Ω are in parallel between X and O: (2×6)/8=1.5 Ω.

In series with 1.5 Ω from O to Y: 3 Ω.

This 3 Ω path is in parallel with the 3 Ω on the circle: 1.5 Ω.

I=6/(1.5)=4 A.

Why the other options are wrong

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