Question 140: Current Electricity

Question

All resistances in figure are 1 $$\Omega$$ each. The value of current 'I' is $${a \over 5}$$ A. The value of a is _________.

Accepted Answer

Let the current is i
Using Kirchhoff's law
$$iR + {i \over 2}R + {i \over 4}R + {i \over 8}R = 3$$
$$i = {{3 	imes 8} \over {15}} = {8 \over 5}A$$
So $$a = 8$$

Current Electricity

All resistances in figure are 1 $\Omega each. The value of current 'I' is {a \over 5}$ A. The value of a is _________.

Integer / Numeric Answer Type