Four resistors of 4 ohm each are connected in parallel, four such combinations are then connected in series. Their total resistance is

To find the total resistance of the given circuit, we need to follow these steps:

Step 1: Calculate the equivalent resistance of the parallel combination of four resistors.

In a parallel combination, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances.

So, for four resistors of 4 ohm each connected in parallel, the equivalent resistance (Rp) can be calculated as:

1/Rp = 1/4 + 1/4 + 1/4 + 1/4

Simplifying this equation, we get:

1/Rp = 4/4

1/Rp = 1

Therefore, the equivalent resistance of the parallel combination is 1 ohm.

Step 2: Calculate the total resistance of the series combination of four parallel combinations.

In a series combination, the total resistance (Rs) is equal to the sum of the individual resistances.

Since we have four parallel combinations, each with an equivalent resistance of 1 ohm, the total resistance (Rs) can be calculated as:

Rs = 1 + 1 + 1 + 1

Simplifying this equation, we get:

Rs = 4 ohms

Therefore, the total resistance of the circuit is 4 ohms.