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Two identical cells send the same curren...

Two identical cells send the same current in `2 Omega` resistance, whether connected in series or in parallel with each other. The internal resistance of cell should be

A

`1Omega`

B

`2 Omega`

C

`0.5 Omega`

D

`2.5 Omega`

Text Solution

Verified by Experts

The correct Answer is:
B
Given `i_("series")=l_("parallel")`

`I_(S)=(E+E)/(r+r+R)=(2E)/(2r+R)`
`l_(p)=(E)/((r)/(2)+R)=(2E)/(r+2R)`
Since, `I_(s)=I_(P)`
Since `(2E)/(2r+R)=(2E)/(r+2R)`
`rArr 2r+R=r+2R`
`rArr r=R`
`r=2 Omega`
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