AIPMT | 2014Current Electricity and Electrical InstrumentHard

Question

The resistances in the two arms of the meter bridge are 5 Ω and R Ω , respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6 I1. The resistance R, is :
     

Options

A.10 Ω
B.15 Ω
C.20 Ω
D.25 Ω

Solution

Initially,         .....(i)
Finally,         .....(ii)
⇒    
⇒     160 - 1.6 l1 = 200 - 3.2 l1
⇒     1.6 l1 = 40
⇒     l1 = 25
From Equation (i),

⇒     R = 15 Ω

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