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Question:

A 9 V battery with internal resistance of 0.5Ω is connected across an infinite network as shown in the figure. All ammeters A1, A2, A3 and voltmeter V are ideal. Choose the correct statement. Reading of A1 is 2 A. Reading of V is 7 V. Reading of V is 9 V. Reading of A1 is 18 A.

Reading ofA1is 2 A.

Reading of V is 7 V.

Reading of V is 9 V.

Reading ofA1is 18 A.

Solution:

4x4+x+2=x
4x+2(4+x)=n(4+x)
6x+8=4x+x²
x²-2x-8=0
x=2±√4+32/2=2±6/2=4Ω
I=Current through A1=E/r+R=9/0.5+4=2A
Potential=V=E-IR=9-2*0.5=8V