Answer:
Explanation:
To find the equivalent resistance between any two terminals in a triangle formed by three resistors of 4 ohms each, we can use the concept of parallel and series resistances.
The resistors are connected in a triangle, which forms both series and parallel combinations. Let's analyze the circuit:
1. Resistance between A and B (R_AB):
- Terminal A is connected to Terminal B by a single resistor, which is in series with the other two resistors.
- The two remaining resistors, R1 and R2, are connected in parallel between terminals A and B.
- Since the resistors R1 and R2 are equal and connected in parallel, their equivalent resistance (R_parallel) is given by:
1/R_parallel = 1/R1 + 1/R2 = 1/4 + 1/4 = 1/2
R_parallel = 2 ohms
- Now, the resistor R_parallel is in series with the remaining resistor R3.
- The equivalent resistance (R_AB) of the series combination is given by:
R_AB = R_parallel + R3 = 2 + 4 = 6 ohms
Therefore, the resistance between terminals A and B is 6 ohms.
None of the provided answer options (a. 2 ohms, b. 8/3 ohms, c. 60 ohms, d. 12 ohms) matches the calculated equivalent resistance of 6 ohms. Hence, the correct answer is e. NOT.
