Question

Find the equivalent resistance in the circuit between A and B ​

Answer 1

Answer:

6Ω

Explanation:

The 6Ω resistor and the 3Ω resistor are in parallel.

R = 1 / (1/6 + 1/3)

R = 1 / (1/6 + 2/6)

R = 1 / (3/6)

R = 6/3

R = 2

The 8Ω resistor and the other 8Ω resistor are also in parallel.

R = 1 / (1/8 + 1/8)

R = 1 / (2/8)

R = 8/2

R = 4

This 4Ω resistance is in series with the 4Ω resistor.

R = 4 + 4

R = 8

The 2Ω resistor and the 6Ω resistor are also in series.

R = 2 + 6

R = 8

These two 8Ω resistances are in parallel.

R = 1 / (1/8 + 1/8)

R = 1 / (2/8)

R = 8/2

R = 4

Finally, this 4Ω resistance is in series with the 2Ω resistance we found earlier.

R = 4 + 2

R = 6

The total equivalent resistance is 6Ω.