In a meter bridge, as shown in the figure, it is given that resistance Y = 12.5Ω and that the balance is obtained at a distance 39.5 cm from end A (by jockey J). After interchanging the resistances X

Question

In a meter bridge, as shown in the figure, it is given that resistance $Y = 12.5Ω$ and that the balance is obtained at a distance $39.5 cm$ from end $A$ (by jockey J). After interchanging the resistances $X$ and $Y$ , a new balance point is found at a distance $l_{2}$ from end $A$ . What are the values of $X$ and $l_{2}$ ?

TestHub · Accepted Answer

For a balanced meter bridge, ​ 39.5 X ​ = ( 100 − 39.5 ) Y ​ ⇒ Y = 39.5 = X × ( 100 − 39.5 ) or … X = 60.5 12.5 × 39.5 ​ = 8.16Ω ​ ​ When X and Y are interchanged l 1 ​ and (100 − l 1 ​ ) will also interchange so, l 2 ​ = 60.5 cm

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