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Ina metre bridge experiment,when the resistances in the gaps are interchanged the balancing point increases by 10cm.the ratio of resistances will be ?

Ina metre bridge experiment,when the resistances in the gaps are interchanged the balancing point increases by 10cm.the ratio of resistances will be ?

Grade:12th pass

1 Answers

Susmita
425 Points
2 years ago
X/R=L/(100-L)
Now L changes to L'=L+10 when X and R are interchanged.Now
R/X=L'/(100-L')=(L+10)/(90-L)
Multiply the two equation.
1=L(L+10)/(100-L)(90-L)
Or,L2+10L=L2-190L+9000
Or,200L=9000
Or,L=45
So X/R=45/55=9/11
If it helps please approve.thank you.
 

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