Correct option is A
(a) The equivalent resistance between points A and B is 2 Ω.
To calculate the equivalent resistance between points A and B:
- The resistors form a combination of parallel and series connections.
- The 3 Ω and 3 Ω resistors at the top are in series Rseries=3+3=6Ω
- This combined resistance of 6Ω6 \, \Omega6Ω is in parallel with the other 6Ω6 \, \Omega3Ω resistor.
RTotal= (1/6)+(1/3)
RTotal = 2Ω
- Series Combination: Total resistance increases (Rtotal=R1+R2R_{\text{total}} = R_1 + R_2Rtotal=R1+R2).
- Parallel Combination: Total resistance decreases (Rtotal = 1/R1+1/R2)
- Solving step-by-step is crucial for mixed combinations of resistors.
- Equivalent resistance reduces when combining in parallel.
- Simplify series and parallel resistances sequentially.

