Question

The equivalent resistance between A and B



a) 4.5
b) 12
C) 5.4
d) 20
​

Answer 1

Answer:

Answer is A

Explanation:

The 2 rightmost nodes are shorted-circuit due to the conductive wire.

Then 6 Ohm - 4 Ohm set and  7 Ohm - 3 Ohm sets are individually in parallel arrangment.

Therefore, the equivalent of 6 Ohm- 4 Ohm set is  $\Big(\frac{6\times 4}{6+4} \Big)= 2.4 \Omega$

And that of 7 Ohm - 3 Ohm set is $\Big( \frac{7 \times 3}{7+3} \Big) = 2.1 \Omega$

Finally, both these equivalents are in a series arrangement. Therefore, the equivalent resistance between AB is $(2.1+2.4) = 4.5\Omega$