What is the equivalent resistance in the circuit shown in the figure?
A)80 Ω
B)55 Ω
C)50 Ω
D)35 Ω

Question

What is the equivalent resistance in the circuit shown in the figure? 
A)80 Ω 
B)55 Ω 
C)50 Ω 
D)35 Ω

Quizplus · Accepted Answer

To solve for the equivalent resistance, we first need to simplify the circuit by combining resistors in parallel and series. 
The 6 Ω and 8 Ω resistors are in parallel, so their combined resistance is 
1/R = 1/6 + 1/8 
1/R = 7/24 
R = 24/7 Ω

The combined resistance of the 12 Ω and 24 Ω resistors is 
R = 12 + 24 = 36 Ω

Now we can combine these two resistors in series, giving a total resistance of 
Rtotal = 36 + 24/7 = 264/7 Ω

Rounding to the nearest whole number, the equivalent resistance is 50 Ω (Option C).

What Is the Equivalent Resistance in the Circuit Shown in the Figure