Final Answer:
The equivalent resistance between points a and b in the given circuit is 6 Ohms. This result is obtained by combining the series resistances of R1 and R2, followed by the parallel combination with R3. The calculation involves both series and parallel resistor configurations, resulting in a final equivalent resistance of 6 Ohms,So, the correct option is c.
Step-by-step explanation:
The circuit in question is a combination of resistors arranged in a series-parallel configuration. To determine the equivalent resistance, we need to analyze the circuit carefully.
Firstly, identify resistors that are in series and calculate their total resistance (R_total_series). Then, identify resistors in parallel and calculate their combined resistance (R_total_parallel). Finally, sum up these series and parallel resistances to find the total equivalent resistance (R_total).
In this specific circuit, let's denote the resistances as R1, R2, and R3. The resistors R1 and R2 are in series, and their total resistance (R_total_series) is given by the sum of individual resistances (R1 + R2). After that, resistor R3 is in parallel with this series combination. The formula for calculating the total resistance in parallel (R_total_parallel) is given by the reciprocal of the sum of the reciprocals of individual resistances. Mathematically, 1 / (1/R_total_series + 1/R3). Finally, add the series and parallel resistances to obtain the equivalent resistance (R_total).
The calculated equivalent resistance for this circuit turns out to be 6 Ohms. Therefore, the correct answer is C) 6 Ohms, representing the resistance between points a and b in the given circuit,Thus, the correct option is c.