Eels are able to generate current with biological cells called electroplaques. The electroplaques in an eel are arranged in $100$ rows, each row stretching horizontally along the body of the fish containing $5000$ electroplaques. The arrangement is suggestively shown below. Each electroplaques has an emf of $0.15\, V$ and internal resistance of $0.25 \,\Omega$ The water surrounding the eel completes a circuit between the head and its tail. If the water surrounding it has a resistance of $500 \,\Omega$, the current an eel can produce in water is about .............. $A$
AIIMS 2004, Diffcult
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(a) Given problem is the case of mixed grouping of cells
So total current produced $i = \frac{{nE}}{{R + \frac{{nr}}{m}}}$
Here $m = 100,\,\,n = 5000,\,\,R = 500\,\Omega $
$E = 0.15\,V$ and $r = 0.25\,\Omega $
$i = \frac{{5000 \times 0.15}}{{500 + \frac{{5000 \times 0.25}}{{100}}}}$$ = \frac{{750}}{{512.5}}$ $ \approx 1.5\,A$
So total current produced $i = \frac{{nE}}{{R + \frac{{nr}}{m}}}$
Here $m = 100,\,\,n = 5000,\,\,R = 500\,\Omega $
$E = 0.15\,V$ and $r = 0.25\,\Omega $
$i = \frac{{5000 \times 0.15}}{{500 + \frac{{5000 \times 0.25}}{{100}}}}$$ = \frac{{750}}{{512.5}}$ $ \approx 1.5\,A$
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