To get maximum current through a resistance of 2.5 |
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To get maximum current through a resistance of 2.5 |
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a) |
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b) |
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c) |
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d) |
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(a)
If the cells are connected as shown in figure, they are said to be connected in mixed grouping. Let there be cells in series in one row and
rows of cells in parallel. Suppose all the cells are identical. Let each cell be of emf E and internal resistance
.
In each row, there are n cells in series, therefore their total internal resistance= .
Their total .
Since, there are rows of cells in parallel therefore, total internal resistance
of all the cells is given by
Total resistance in their circuit
Effective emf of all the cells
The current in the external resistance is given by
The current I will be maximum, if is minimum.
Mathematically, it can be shown that is minimum, if
Here, (given )….(i)
and
Or ………..(ii)
From Eqs. (i) and (ii), we have
∴ n=15