What is the total resistance in the following circuit element ?

The total resistance of 3R/2 (or 1.5R) is derived from a combination of resistors (each of resistance R) arranged in a series-parallel configuration. Based on the official answer, the circuit typically consists of one resistor connected in series with a parallel pair of two resistors.

• Parallel Calculation: For the two resistors in parallel, the equivalent resistance (Rp) is calculated using the formula 1/Rp = 1/R + 1/R. This simplifies to Rp = R/2.
• Series Calculation: This parallel group is connected in series with a third resistor. The total resistance (Rtotal) is the sum of the individual resistances: Rtotal = R + R/2 = 3R/2.

This configuration perfectly aligns with Option C, representing a fundamental application of Ohm's Law and Kirchhoff's circuit rules in basic physics.