N batteries each of emf E and internal resistance r are first connected in series and then in parallel to an external resistance R. if current through

Question

N batteries each of emf E and internal resistance r are first connected in series and then in parallel to an external resistance R. if current through

N batteries each of emf E and internal resistance r are first connected in series and then in parallel to an external resistance R. if current through R is same in both cases then.
A. `R=r^(2)//N`
B. `R-Nr//2`
C. `R=Nr`
D. `R=r`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 4
In serie s
curren t `=(NE)/(Nr+R)`
In parallel, current `=(E)/((r//N)+R)=(NE)/(r+NR)`
since the currents in the two cases are equal,
`(NE)/(Nr+R)=(NE)/(r+NR)`
or `Nr+R=r+NR`
or `Nr-r=NR-R`
or `r(N-1)=R(N-1)`
or r=R
`therefore R=r`.

5 views Answered 2023-02-05 15:29