Two resistors in parallel

Physics · DC circuits

Problem

A 6 ohm resistor and a 3 ohm resistor are connected in parallel across a 12 V battery. Find the total current drawn from the battery.
Intuitive explanation

When resistors are in parallel, each one experiences the full battery voltage independently, so you can find the current through each resistor separately using Ohm's law (I=V/RI = V/R), then add them together. The key insight is that parallel resistors split the current based on their resistance—smaller resistance draws more current—but the voltage across each is always the same.

Intuitive explanation

When resistors are in parallel, each one experiences the full battery voltage independently, so you can find the current through each resistor separately using Ohm's law (I=V/RI = V/R), then add them together. The key insight is that parallel resistors split the current based on their resistance—smaller resistance draws more current—but the voltage across each is always the same.

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