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Connections in Parallel

N cells each ...

Question

N cells each of emf E and internal resistance r send the same current through an external resistance R whether the cells are connected in series or in parallel. The R=? A) nr B) r C)n /r

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Solution

Dear Student,

when the cell in series
$n e t e m f = n E n e t i n t e r n a l r e s i s \tan c e = n r c u r r e n t = \frac{n E}{R + n r} f o r p a r a l l e l c o n n e c t i o n n e t E M F = E n e t i n t e r n a l r e s i s \tan c e = \frac{r}{n} c u r r e n t = \frac{E}{R + \frac{r}{n}} b o t h c u r r e n t a r e s a m e . \frac{E}{R + \frac{r}{n}} = \frac{n E}{R + n r} \frac{n E}{n R + r} = \frac{n E}{R + n r} n R + r = R + n r R (n - 1) = r (n - 1) R = r o p t i o n B r e g a r d s$

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