In a meter bridge experiment, the balance point is obtained at length ℓ 1 cm from left end when resistances in the left gap and right gap are 5Ω and R Ω respectively. When the resistance R is shunte

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In a meter bridge experiment, the balance point is obtained at length ℓ 1 ​ cm from left end when resistances in the left gap and right gap are 5Ω and R Ω respectively. When the resistance R is shunted with equal resistance, the new balance point is at 1.6 ℓ 1 ​ . The resistance R in ohm is

TestHub · Accepted Answer

R 5 ​ = 100 − ℓ 1 ​ ℓ 1 ​ ​ When R is shunted, ​ R 5 × 2 ​ = 100 − 1.6 ℓ 1 ​ 1.6 ℓ 1 ​ ​ ∴ R 5 ​ = 100 − 1.6 ℓ 1 ​ 0.8 ℓ 1 ​ ​ ​ Equating (1) and (2) and solving we get ℓ 1 ​ = 25 cm Putting this in Eq. (1), we get R = 15Ω

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