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Question

Physics Question on Electric Current

All resistances in figure are 1 Ω each. The value of current ‘I‘ is (a/5) A. The value of a is _______.

Fig.

Answer

The correct answer is 8

Fig.

Let the current is i
Using kirchhoff’s law
iR+i2R+i4R+i8R=3iR+\frac{i}{2}R+\frac{i}{4}R+\frac{i}{8}R=3
i=3×815i=\frac{3×8}{15}
=85A=\frac{8}{5} A
\therefore the value of a is 8