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In a resistor network, all resistors have resistance 3 ohms and a battery of 48 V is connected across the network. Ammeter 1 is placed in the main branch, ammeter 2 in one parallel branch, and ammeter 3 in another parallel branch. Consider the following statements: Statement-1: Readings of all ammeters are the same. Statement-2: Reading of ammeter 1 is 5 A. Statement-3: Reading of ammeter 2 is 7 A. Statement-4: Reading of ammeter 3 is 7 A. Which of the following is correct?
- All statements are correct.
- Only statement-1 is correct.
- Statement-1 and statement-4 are correct.
- Statement-2 and statement-3 are correct.
Correct answer: Statement-2 and statement-3 are correct.
Solution
The problem references a schematic that is not reproduced here. Statement-1 claims all ammeters read the same, which is false if ammeter 1 is in the main branch (it carries total current) while ammeters 2 and 3 are in sub-branches. The answer choice 'Statement-2 and statement-3 are correct' (main current 5 A, branch current 7 A) is internally inconsistent since a branch cannot carry more than the main, so the original schematic likely has a more complex topology. This question is diagram-dependent and the answer key indicates option D.
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