# In the combination of 3 Ω resistors shown in the diagram?

a) What is the resistance of each of the two parallel combinations?

b) What is the total equivalent resistance between points A and B?

c) If there is a voltage difference of 15 V between points A and B, what is the

current flowing through the entire combination?

d) What is the current flowing through each of the resistors in the three-resistor

parallel combination? Relevance
• Two parallel resistors

Re = 1 / (1/3 + 1/3) = 1.5 Ω

Three parallel resistors

Re = 1 / (1/3 + 1/3 + 1/3) = 1.0 Ω

Total equivelent resistance

Re = 1.5 + 3 + 1.0 = 5.5 Ω

Ι = 15 / 5.5 = 2.727272... = 2.7 Amps

Through each of the three parallel resisters will be one third of the total

I = 2.727 / 3 = 0.90909... = 0.91 Amps

• Log in to reply to the answers
• Work out each parallel network first, then you have a simple three-value series network.

From A to B:

two 3R in parallel = 1.5R,

then 3R,

then three 3R in parallel = 1R.

1.5 + 3 + 1 = 5.5R

Current at 15V = 15 / 5.5 = 2.727272' Amps.

With three equal resistors in parallel, the current is divided equally in three so that value divided by three.

• Log in to reply to the answers