Two resistors of resistance R are connected in parallel.The combination is connected in series to a resistor of resistance 2R.What is the resistance of this combination of resistors?
A)0.5 R
B)R
C)1.0 R
D)2.0 R
E)2.5 R

Question

Quizplus · Accepted Answer

When two resistors of resistance R are connected in parallel, the equivalent resistance (R_parallel) is given by the formula 1/R_parallel = 1/R + 1/R, which simplifies to R_parallel = R/2. When this combination is connected in series with a resistor of resistance 2R, the total resistance (R_total) is the sum of the parallel combination's resistance and the series resistor's resistance: R_total = R/2 + 2R = 2.5R.

Two Resistors of Resistance R Are Connected in Parallel