Question

For the given mixed combination of resistors calculate the total resistance between points A and B.

Choose the correct answer from the options given below.

• A. 9 Ω
• B. 18 Ω
• C. 4 Ω
• D. 14 Ω

Answer 1

Answer: (B)

18 Ω

Answer 2

To find the total resistance, we simplify the circuit step-by-step: - First, combine the two parallel 4 Ω resistors at the top:
$Req=\frac{4\times 4}{4+4}=2 ohm$
Then, combine this result with
the 8 Ω resistor in series: R = 2 + 8 = 10 Ω. - The two 4 Ω resistors in parallel give another
equivalent resistance of 2 Ω, combined with the 12 Ω resistor in series: R = 2 + 12 = 14 Ω. -
The two combinations (10 Ω and 14 Ω) are in parallel:
$Rtotal=\frac{10\times14}{10+14}=5.83ohm$
Finally, combine this with the 6 Ω resistors on both sides in series: 6 + 5.83 + 6 = 17.83 Ω,
which rounds to 18 Ω.. Hence, the correct answer is Option 2.