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Q. The magnitude of $I$ in ampere unit isPhysics Question Image

KCETKCET 2005Current Electricity

Solution:

All the resistances are in paralleI order, so voitage across them will be equal.
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$ \therefore \,60I = (15 + 5)I_1 $
$ \Rightarrow \,60 I = 20\,I_1 $
$ \Rightarrow \,I_1 = 3I \,\,\,\,\,\,\dots(i)$
Again $ (15 + 5)I_1 = 10(1 - I - I_1) $
$ \Rightarrow \,2I_1 = 1 - I - I_1 $
$ \Rightarrow \,2(3I) = 1 - I - 3I $
$ \Rightarrow \,6I + 4I = 1 $
$ \Rightarrow \,10I = 1 $
$ \therefore \,I = \frac{1}{10} = 0.1 \,A $