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Q.

A battery of emf E0= 6 V is connected across a 2 m long uniform wire having resistance 4 Ω/m. The cells of small emf ε1=2V and ε2=3 V having internal resistance 2 Ω & 1 Ω respectively are connected as shown in the figure. The null point will be obtained at

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a

15m

b

0.25 m

c

0.50 m

d

none of these

answer is D.

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Detailed Solution

Effective emf of two cells in parallel

ε=ε2r1-ε1r2r1+r2=3×2-2×12+1=43V

X terminal of the connection is positive. For neutral point, positive terminal of ε0 must be connected to X.

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