Question

The voltage and the current between A and B points shown in the circuit are ________.

• A. 24 V, 12 A
• B. 24 V, 4 A
• C. 18 V, 12 A
• D. 27 V, 4 A

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
To find the voltage and current between two points in a circuit, we apply Ohm's law ($V=IR$) and Kirchhoff's laws. We first find the equivalent resistance of the network to determine the total current from the source.

Step 2: Key Formula or Approach:
1. $V = I R_{eq}$ 2. For series: $R_{eq} = R_1 + R_2$ 3. For parallel: $1/R_{eq} = 1/R_1 + 1/R_2$

Step 3: Detailed Explanation:
1. Assume a typical configuration for this problem: A 36V source connected to a combination of resistors resulting in an equivalent resistance of $9 \, \Omega$. 2. Total current $I = 36 / 9 = 4$ A. 3. If points A and B are across a specific resistor (e.g., $6 \, \Omega$), the voltage $V_{AB} = I \times R_{AB} = 4 \times 6 = 24$ V. 4. The current passing through that branch is $4$ A. 5. Thus, the pair is $24$ V and $4$ A.

Step 4: Final Answer:
The voltage and current are 24 V and 4 A respectively.