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Question

Physics Question on Resistance

All resistances in figure are 1 Ω each. The value of current ‘I‘ is (a5)(\frac{a}{5}) A. The value of a is _______.
value of current

Answer

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

Since,I=(a5)AI=(\frac{a}{5})A
a=8⇒ a=8
So, value of a is 8