Does the current increase or decrease through the resistor ?

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Jahnavi
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Homework Statement


resistance.jpg


Homework Equations

The Attempt at a Solution



This looks to be a simple problem but the answer key has left me wondering whether I am thinking correctly .

I get option 1) whereas answer key states option 3) .

Since the variable resistance R increases , the resistance across the parallel branch (R2+R) increases .This leads to a higher voltage drop across R1 .As a result current increases in R1 .

Since the overall current from the battery decreases and current through R1 increases , current through R2 decreases .

I am getting option 1) . Is that right ?
 

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Just after I had posted this , I realized the mistake . I should have been more careful .

Thanks !