Since you haven’t made any specifications, I’m getting there.

- Our source will provide 100v DC.
- The current will vary depending on the resistance.
- We will start with 3 resistors of 1000 ohms in parallel.

Once the device is turned off, an ohmmeter will measure approximately 333 ohms across the terminals. Trust me or not. Since I = E / R by Ohm’s law, (E = voltage, I = current, R = resistance), 100/333 = about 0.3 amps in total, 0.1 amps in each branch.

After removing 1 of the resistors, we are left with a measured resistance of 500 ohms across the terminals. 100/500 = approximately 0.2 amps in total. However, we still have 0.1 amp per branch. The voltage is the same across each parallel branch as at the source and 100/1000 = 0.1 amperes, unchanged.

The total resistance has changed but the resistance in each branch remains the same, so the total current changes but remains the same in the branches.