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What combination of resistors can replace a burnt out 215 Ohm resistor?

  1. 100 Ohm, 100 Ohm

  2. 90 Ohm, 75 Ohm, and 50 Ohm

  3. 150 Ohm and 65 Ohm

  4. 200 Ohm

The correct answer is: 90 Ohm, 75 Ohm, and 50 Ohm

To find a combination of resistors that can replace a burnt out 215 Ohm resistor, it’s essential to consider how resistors can be combined in series and parallel configurations. For the combination of resistors to equal 215 Ohms, the total resistance from the selected resistors must add up to that value. When resistors are connected in series, their resistances simply add together. In this case, if you take 90 Ohm, 75 Ohm, and 50 Ohm resistors and add them together: 90 Ohm + 75 Ohm + 50 Ohm = 215 Ohm This shows that the combination of these three resistors does indeed equal the required 215 Ohms. Other combinations provided in the choices do not yield the correct total resistance. For example, two 100 Ohm resistors connected in series would total 200 Ohms, which is lower than required, and a combination of 150 Ohm and 65 Ohm would add up to 215 Ohms, yet not match the specified resistors needed to reach exactly that total based on the options available. Lastly, a single 200 Ohm resistor falls short of the requirement as well. Therefore, the