Question

A 18 ohm resistance is cut into three equal parts and connected in parallel. Find the equivalent resistance of the combination.​

Answer 1

Answer: 2Ω

Step-by-step explanation:

Rtotal = 18Ω (ohms is represented by Ω)

Divide 18Ω into three equal parts

18Ω/ 3 = 6Ω

Now, if there are three resistors each with 6Ω connected in parallel, the equivalent resistance of the combination (Rtotal) of the circuit is as follows:

i.e 1/Rtotal = (1/R1 + 1/R2 + 1/R3)

1/Rtotal = (1/6Ω + 1/6Ω + 1/6Ω)

1/Rtotal = (1 + 1 + 1)/6Ω

1/Rtotal = 3/6Ω

1/Rtotal = 1/2Ω

To get the value of Rtotal, cross multiply

Rtotal x 1 = 2Ω x 1

Rtotal = 2Ω

Thus, the equivalent resistance of the combination is 2Ω