Resistors of values 6.0Ω,4.0Ω,10.0Ω and 7.0Ω are combined as shown.What is the equivalent resistance for this combination?
A) 2.3 Ω
B) 3.0 Ω
C) 10.7 Ω
D) 27 Ω

Question

Resistors of values 6.0Ω,4.0Ω,10.0Ω and 7.0Ω are combined as shown.What is the equivalent resistance for this combination? 
A) 2.3 Ω 
B) 3.0 Ω 
C) 10.7 Ω 
D) 27 Ω

Quizplus · Accepted Answer

The resistors are connected in a combination of series and parallel circuits. The resistors of 10Ω and 7Ω are in series and can be combined to form a single resistor of 17Ω. The combination of 6Ω and 4Ω resistors are in parallel and can be combined using the formula 1/Req= 1/6 + 1/4 which gives Req= 2.4Ω. The equivalent resistance is then the sum of the two resistors, which gives Req= 17+2.4 = 19.4Ω.

Resistors of Values 6