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If two resistors in series are equal, say R each, what is the total resistance?
R 2
2R
R
R/2
2R
For resistors in series, the total resistance (RtotalтАЛ) is simply the algebraic sum of the individual resistances. Since both are equal (R), R + R = 2R.
For resistors in series, the total resistance (RtotalтАЛ) is simply the algebraic sum of the individual resistances. Since both are equal (R), R + R = 2R.
Analyze Circuit Setup
When components are connected in series, the same current flows through each. The total resistance is the sum of all individual resistances.
Apply Formula
The formula for resistors in series is RtotalтАЛ = R1 + R2 +... + Rn. Given R1 = R and R2 = R.
Calculate Sum
Substitute the values: RtotalтАЛ = R + R = 2R.
A: R┬▓ is the result for parallel connection calculation (R/2) if it were 1/R+1/R, but this is series addition. C: R implies the resistance remains unchanged, which contradicts series rules. D: R/2 is the formula for two equal resistors connected in parallel.
B is correct because the total resistance of two resistors connected in series is the sum of their individual values (R + R = 2R).
Remember: In series, resistance adds up (R + R); in parallel, it divides (R/2). Confusing these is the most common error in physics-based reasoning.
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