Question

please answer with explanation ​

Answer 1

The total effective resistance of the given group of  resistors can be calculated as follows:

• The total resistance for series can be calculated as:

                            R total = R₁ + R₂ + R₃

• The total resistance for parallel can be calculated as follows:

                           R total = 1/R₁ + 1/R₂ + 1/R₃

• Keeping these two rules in mind we can answer the given question as follows:
• In the given question, the groups of resistances can be grouped into 2 groups.
• The 3 Ω  situated on the opposite arms are present in a parallel along with the two other groups of 3 Ω present on the arms of the triangle present in a series.
• The whole structure can be reduced to R total = (1/2 x 2) = 1 Ω.

Thus the total resistance between A and B will be (Option 1) 1 Ω.