College

All the resistors in the circuits are identical, and the batteries produce voltages of 6 V or 12 V. All connecting wires have negligible resistance.

Rank the current passing through the upper-right corner of each circuit starting with the highest value.

Explain using your knowledge of resistance and current why you ranked the 6 circuits the way you did.

Answer :

The current passing through the circuits with identical resistors depends on the voltage of the battery and the arrangement of resistors. For identical resistors, a 12V battery will produce more current than a 6V battery. Additionally, a parallel arrangement of resistors will have more current than a similar circuit with series resistors.

This question is related to Ohm’s law in Physics, which states that the current passing through a conductor between two points is directly proportional to the voltage across the two points. In the context of your question, we'll analyze circuits containing identical resistors and either a 6V or 12V battery.

Since all the resistors are identical and the resistance of the wires is negligible, the current is controlled by the voltage in each circuit. A 12V battery will produce twice as much current as a 6V battery in the same circuit configuration. Therefore, circuits with 12V batteries will have a higher current passing through the upper-right corner than those with 6V batteries.

However, the arrangement of resistors in parallel or series can also affect the ranking. In a series circuit, the total resistance increases with each additional resistor, decreasing the current. In a parallel circuit, the total resistance decreases as resistors are added, increasing the current. So a circuit with parallel resistors will have a higher current than a similar circuit with serial resistors.

Learn more about Ohm's law here

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