Question 707: Current Electricity

Question

In the following circuit, the current through the resistor R(=2$$\Omega$$) is I amperes. The value of I is :

Accepted Answer

Consider the following figure:
ACGA constitutes a Wheatstone bridge; hence, 8 $$\Omega$$ is redundant and hence can be removed. Therefore,
$${R_{AG}} = {{3 	imes 6} \over 9} = \,2\,\Omega $$
AGDFA again constitutes a Wheatstone bridge 10 $$\Omega$$ which is redundant and hence can be removed.
$${R_{AB}} = {{6 	imes 18} \over {24}} = 4.5\,\,\Omega $$
$$I = {{6.5} \over {6.5}} = 1\,A$$

Current Electricity

In the following circuit, the current through the resistor R(=2$\Omega$) is I amperes. The value of I is :

Integer / Numeric Answer Type