What is the equivalent resistance of the circuit shown in the figure? The battery is ideal and all resistances are accurate to 3 significant figures.
A)950 Ω
B)450 Ω
C)392 Ω
D)257 Ω

Question

What is the equivalent resistance of the circuit shown in the figure? The battery is ideal and all resistances are accurate to 3 significant figures. 
A)950 Ω 
B)450 Ω 
C)392 Ω 
D)257 Ω

Quizplus · Accepted Answer

We can simplify the circuit by combining the two parallel resistors (6 Ω and 8 Ω) to get a total resistance of 3.43 Ω (using the formula R_total = R1 × R2 / (R1 + R2)). Then, we can combine this with the 2 Ω resistor in series to get a total resistance of 5.43 Ω. Finally, we can combine this with the remaining 14 Ω resistor in series to get a total resistance of 19.43 Ω. Therefore, the equivalent resistance of the circuit is 19.43 Ω, which is closest to answer choice C) 392 Ω.

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