On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm . The resistance of their series combination is 1 kΩ . How much was the resistance on the left slot be

Question

On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm . The resistance of their series combination is 1 kΩ . How much was the resistance on the left slot before interchanging the resistances?

TestHub · Accepted Answer

a b = l 100 - l a + b = 1000 b a = l − 10 110 − l 100 − l l = l − 10 110 − l l 2 − 10 l = 11000 + l 2 − 100 l = 110 l 200 l = 11000 l = 110 2 = 55 55 45 = a b ⇒ a = 550 Ω b = 450 Ω

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