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Two identical cells whether connected in...

Two identical cells whether connected in parallel or in series gives the same current when connected to an external resistance 1.5 `Omega`. Find the value of internal resistance of each cell.

A

`1Omega`

B

`0.5 Omega`

C

zero

D

`1.5Omega`

Text Solution

Verified by Experts

The correct Answer is:
D
Let n cells be in series and m in parallel, then
`" "(nE)/(R+nr)=E/(R+r/m)`
`rArr" "n[R+r/m]=R+nr`
`rArr" "nRm+nr=Rm+mnr`
`rArr" "6+2r=3+4r`
`rArr" "2r=3`
`rArr" "r=1.5Omega`
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