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Multiple Choice

In a fixed-voltage series circuit, if you double one resistor and leave the other unchanged, what happens to the total resistance?

In a fixed-voltage series circuit, resistances add together to give the total resistance. If you double one resistor, the sum becomes R1' + R2 = 2R1 + R2, which is larger than the original R1 + R2 by exactly R1. So the total resistance increases. For example, if R1 = 4 Ω and R2 = 3 Ω, the original total is 7 Ω; doubling R1 makes the total 11 Ω. This shows why the total resistance must rise.

In a fixed-voltage series circuit, resistances add together to give the total resistance. If you double one resistor, the sum becomes R1' + R2 = 2R1 + R2, which is larger than the original R1 + R2 by exactly R1. So the total resistance increases. For example, if R1 = 4 Ω and R2 = 3 Ω, the original total is 7 Ω; doubling R1 makes the total 11 Ω. This shows why the total resistance must rise.