Question

question 9 of 25
three circuit diagrams are shown. which statement about the circuit diagrams is accurate?
circuit a circuit b circuit c
v - r1 v - r2 v - r1 - r2
a. circuit a is a series circuit, and circuits b and c are parallel circuits.
b. circuits a and c are series circuits, and circuit b is a parallel circuit.
c. circuits a and b are series circuits, and circuit c is a parallel circuit.
d. circuits a, b, and c are all series circuits.

Explanation:

Step1: Recall series - parallel circuit definitions

In a series circuit, components are connected end - to - end so that there is a single path for current flow. In a parallel circuit, components are connected across common points so that there are multiple paths for current flow.

Step2: Analyze Circuit A

In Circuit A, the voltage source \(V\) and resistor \(R_1\) are connected in a single path. So, it is a series circuit.

Step3: Analyze Circuit B

In Circuit B, the voltage source \(V\) and resistor \(R_1\) are connected in a single path. So, it is a series circuit.

Step4: Analyze Circuit C

In Circuit C, resistors \(R_1\) and \(R_2\) are connected across the same two points (the terminals of the voltage source \(V\)), providing multiple paths for current flow. So, it is a parallel circuit.

Answer:

C. Circuits A and B are series circuits, and circuit C is a parallel circuit.