A combination of a 2.0-Ω resistor in series with 4.0-Ω resistor is connected in parallel with a 3.0-Ω resistor.What is the equivalent resistance of this system?
A)2.0 Ω
B)3.0 Ω
C)4.0 Ω
D)9.0 Ω

Question

Quizplus · Accepted Answer

The equivalent resistance of resistors in series (2.0 Ω and 4.0 Ω) is their sum, which is 6.0 Ω. This 6.0-Ω combination is then in parallel with a 3.0-Ω resistor. The equivalent resistance for parallel resistors is given by 1/Req = 1/R1 + 1/R2. Thus, 1/Req = 1/6 + 1/3 = 1/2, making Req = 2.0 Ω.

A Combination of a 2