Draw a circuit with a battery connected to four resistors, R1, R2, R3, and R4, as follows. Resistors R1 and R2 are connected in parallel with each other, resistors R3 and R4 are connected in parallel with each other, and both parallel sets of resistors are connected in series with each other across the battery.

Question

BlackTom AI · Accepted Answer

The question asks you to identify the diagram that correctly represents a circuit where R1 and R2 are in parallel with each other, R3 and R4 are in parallel with each other, and these two parallel groups are connected in series with each other across a battery.
Option D: This diagram shows a more complex arrangement with two parallel branches at the top and bottom connected in a way that does not clearly reflect two distinct parallel groups in series. The arrangement of R1, R2, R3, and R4 here does not match the described structure, making it incorrect.
Option B: Here, R1 and R2 appear in a single vertical branch, while R3 and R4 are in another branch, but the connections imply a different topology where the groups are not arranged as two independent parallel blocks in series. The wiring does not align with the requirement of two parallel pairs in series.
Option C: In this option, R1 and R2 form one vertical parallel arrangement, and R3 and R4 form another vertical parallel arrangement, but the overall connection shows a single loop that bypasses the intended series coupling of the two parallel groups. The specified series connection between the two parallel sets is not depicted correctly.
Option A: The diagram clearly displays two parallel resistors (R1 and R2) on the left, forming one parallel block, and two parallel resistors (R3 and R4) on the right, forming a second parallel block. These two blocks are connected in series across the battery, as required. The top node connects the two blocks in a way that the current must pass through one block, then the other, matching the described circuit topology.
Overall, only option A accurately implements the described configuration: R1 // R2 in one parallel branch, R3 // R4 in another parallel branch, with the two branches in series across the source. The other options either misplace the parallel groups, mix the branch connections, or fail to establish the proper series linkage between the two parallel sets.

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