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Writer's picturekeshprad

PhysicsBowl 2019 Q36


36) For this question, we want to find the resistor that dissipates the most power. If we can simplify this circuit to a series circuit we can make this problem much simpler.


First, we should start by finding the equivalent resistance between R[3] and R[4].

Where R is resistance

Next, using the equivalent series resistance, we can simplify R[3,4] and R[5].

Where R is resistance

By using the parallel equivalent resistance, we can further simplify the circuit.

Where R is resistance

At this point, we have enough to answer this question. Since these two resistors are in series, we know that the same current will go through the R[1] and the equivalent resistor R[2,3,4,5]; however, R[1] has the greater resistance. Thus R[1] uses more power that R[2], R[3], R[4], and R[5] combined.


Answer: A

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