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Question

Physics Question on Resistance

The magnitude of II in ampere unit is

A

0.1

B

0.3

C

0.6

D

none of these

Answer

0.1

Explanation

Solution

All the resistances are in paralleI order, so voitage across them will be equal.

60I=(15+5)I1\therefore \,60I = (15 + 5)I_1
60I=20I1\Rightarrow \,60 I = 20\,I_1
I1=3I(i)\Rightarrow \,I_1 = 3I \,\,\,\,\,\,\dots(i)
Again (15+5)I1=10(1II1)(15 + 5)I_1 = 10(1 - I - I_1)
2I1=1II1\Rightarrow \,2I_1 = 1 - I - I_1
2(3I)=1I3I\Rightarrow \,2(3I) = 1 - I - 3I
6I+4I=1\Rightarrow \,6I + 4I = 1
10I=1\Rightarrow \,10I = 1
I=110=0.1A\therefore \,I = \frac{1}{10} = 0.1 \,A