The given figure shows 7 1-ohm resistors connected in a specific pattern. To determine the equivalent resistance of the circuit, we need to analyze the circuit and identify any series or parallel combinations.

The circuit can be divided into three sections: the top section with two resistors in series, the middle section with three resistors in parallel, and the bottom section with two resistors in series.

1. Top Section (Series):

The two resistors in the top section are connected in series. When resistors are connected in series, their resistances simply add up. Therefore, the equivalent resistance of the top section can be calculated as the sum of the two resistors:

R_top = R1 + R2 = 1 ohm + 1 ohm = 2 ohms

2. Middle Section (Parallel):

The three resistors in the middle section are connected in parallel. When resistors are connected in parallel, the reciprocal of their resistances add up, and the equivalent resistance can be calculated using the formula:

1/R_middle = 1/R3 + 1/R4 + 1/R5

Substituting the values:

1/R_middle = 1/1 ohm + 1/1 ohm + 1/1 ohm
1/R_middle = 3/1 ohm
R_middle = 1/3 ohm

3. Bottom Section (Series):

The two resistors in the bottom section are connected in series, similar to the top section. The equivalent resistance can be calculated using the same formula:

R_bottom = R6 + R7 = 1 ohm + 1 ohm = 2 ohms

Overall Equivalent Resistance:

Now that we have calculated the equivalent resistance for each section, we can find the overall equivalent resistance of the circuit by considering the fact that the top and bottom sections are connected in parallel to the middle section.

To find the equivalent resistance when resistors are connected in parallel, we can use the formula:

1/R_total = 1/R_top + 1/R_middle + 1/R_bottom

Substituting the values:

1/R_total = 1/2 ohm + 1/(1/3 ohm) + 1/2 ohm
1/R_total = 1/2 ohm + 3/1 ohm + 1/2 ohm
1/R_total = 4/2 ohm + 3/1 ohm
1/R_total = 2/1 ohm + 3/1 ohm
1/R_total = 5/1 ohm
R_total = 1/(5/1) ohm
R_total = 1/5 ohm
R_total = 0.2 ohms

Therefore, the equivalent resistance of the given circuit is 0.2 ohms.