In the circuit shown in figure the reading of ammeter is the same with both switches open as with both closed. Then find the resistance R. (ammeter is ideal)

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i 1 ​ = 450 1.5 ​ = 3 10 ​ × 1 0 − 3 = 300 1 ​ A + 1.5 − 300 i − 100 × 300 1 ​ = 0 R ( i − 300 1 ​ ) = 100 × 300 1 ​ i = 6 7 ​ × 300 1 ​ = 1800 7 ​ R ( 6 7 ​ − 1 ) = 100 R = 600 Ω

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