1.

A cell in secondary circuit gives null deflection for 2.5 m length of potentiometer having 10 m length of wire . If the length of the potentiometer the cell in the primary , the position of the nul point now is

Answer»

3.5m
3m
2.75m
2.0 m

Solution : RESISTANCE ,R and `50kOmega` are CONNECTED in parallel
`R_(eq) = (Rxx50)/(R+50)`
From ohm 's law , `V= iR_eq1`
`(100)/(3) = i((50R)/(R+50))`
`i= (100)/(3) ((R+50)/(50R)`
and `50kOmega` resistance is connected in series as shown in the figure ,
`R(eq) =((50R)/(R+50))+50`
`100 = [(100)/(3)((R+50)/(50R)][ (50R)/(R+50) +50]`
`Rightarrow 100 = (100)/(3) [R+50)/(50R)][(50R)/(R+50)+50]`
`Rightarrow (3xx50R)/(R+50) = (50R)/(R+50)+50`
`Rightarrow (2xx50R)/(R+50)= 50`
`Rightarrow 2R= R+50`
`R = 50kOmega`


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