JEE Advanced | 2014Current Electricity and Electrical InstrumentHard

Question

Two ideal batteries of emf V1 and V2 and three resistances R1, R2 and R3 are connected as shown in the figure. The current in resistance R2 would be zero if
       

Options

A.V1 = V2 and R1 = R2 = R3
B.V1 = V2 and R1 = 2R2 = R3
C.V1 = 2V2 and 2R1 = 2R2 = R3
D.2V1 = V2 and 2R1 = R2 = R3

Solution

         
Using KVL, in ABCDEFA, we get
- iR1 + V2 - iR3 + V1 = 0
⇒ i =
Using KVL in ABCDA,
0 + V1 - iR1 = 0 ⇒ i =
⇒  
⇒ V1R1 + V1R3 = V1R1 + V2R1

Now possible answers are A, B, D.

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