What is the equivalent resistance between A and B in this network of resistance? Find the current through 12 ohm resistor. ​Sorry for the picture quality!​

Dear Student,

Please find below the solution to the asked query:

In this circuit 4 and 12 ohm resistance are in parallel so equivalent resistance is $\frac{4\times 12}{4+12}=3$ ohm.
and 3 and 6 ohm resistance are in parallel so equivalent resistance is $\frac{3\times 6}{3+6}=2$ ohm.
So total resistance between A and B is $2+3=5$ ohm. 

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