What are the possible resistance values with only a 30Ω and 60Ω resistor?

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Using a 30Ω and a 60Ω resistor, the possible resistance values include 90Ω when connected in series and 20Ω when connected in parallel. The calculation for series resistance is straightforward, adding the two values together. For parallel resistance, the formula is 1/R_total = 1/R1 + 1/R2, leading to a total of 20Ω. Exploring different configurations, such as series and parallel combinations, is essential for determining all possible resistance values. Understanding these connections is key to solving similar problems effectively.
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1. Given only one 30Ω and one 60Ω, calculate all possible values of resistance that can be obtained.



2.I am not certain of which equation I should be using ... I never had other problems which gave only this information, usually the voltage is given or the current.



3. Here is my attempt but I strongly doubt it is right.
RS = R1 + R2
RS = 30Ω + 60Ω
RS = 90Ω
 
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Hint: Consider how the resistors may be connected.
 
Think about different combinations that you can come up with these two resistors. Try to draw those combinations. That could help.
 
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