What is the equivalent resistance between points a and b when R = 12$\Omega$?
A)20 $\Omega$
B)16$\Omega$
C)24$\Omega$
D)28 $\Omega$
E)6.0 $\Omega$

Question

What is the equivalent resistance between points a and b when R = 12$\Omega$? 
A)20 $\Omega$ 
B)16$\Omega$ 
C)24$\Omega$ 
D)28 $\Omega$ 
E)6.0 $\Omega$

Quizplus · Accepted Answer

The three resistors in parallel can be replaced by an equivalent resistance of:
1/(1/4 + 1/4 + 1/4) = 4/3 ohms
The equivalent resistance of the 4 ohm and 6 ohm resistors in series is:
4 + 6 = 10 ohms
Therefore, the total equivalent resistance between points a and b is:
4/3 + 10 + 4 = 24 1/3 ohms
Rounding to the nearest 10th gives an answer of 24.3 ohms which is closest to answer choice B of 16.1$\Omega$.

What Is the Equivalent Resistance Between Points a and B Ω\OmegaΩ

What Is the Equivalent Resistance Between Points a and B $\Omega$