Each of the circuits below consists of identical batteries and resistors. All of
ID: 2033134 • Letter: E
Question
Each of the circuits below consists of identical batteries and resistors. All of the switches are closed at the same time a. Rank the circuits on the basis of the current through the resistor labeled R The ranking can not be determined bused on the information provided. b. Rank the circuits on the basis of the magnitude of the potential difference across the resistor labeled R. Largest 1 2. 4. The ranking can not be determined based on the information provided. Explain the reason for your ranking:Explanation / Answer
a) The current depends on the net equivalent resistance of the circuit. The more the equivalent resistance is, the less will be the current. The equivalent resistance for parallel circuits is the least(meaning the current through parallel circuits will be the most) and the current through the series circuit will be the least. Hence the current flowing through R in circuits E, F, C and A are the same.
Current in B is the second most as there are 2 resistors in series. Current in D is the least as there are 3 resistors in series.
Hence the ranking on the basis of currents through the resistor labeled R is
1) E = F = C = A 5) B 6) D
b) The potential difference is just the current flowing through R multiplied by R. Hence the ranking for potential difference across R is the same as the ranking of current through them
1) E = F = C = A 5) B 6) D
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