Step 1: Write the formula for equivalent resistance of resistors in parallel.
For n resistors connected in parallel, the equivalent resistance Req is given by:
Req1=R11+R21+⋯+Rn1
Step 2: Substitute the given values into the formula.
We have three resistors, each with a resistance of 2Ω. So, R1=R2=R3=2Ω.
Req1=2Ω1+2Ω1+2Ω1
Step 3: Calculate the sum of the reciprocals.
Req1=2Ω1+1+1=2Ω3
Step 4: Calculate Req.
Req=32Ω
Req≈0.6666...Ω
Rounding to two decimal places, Req≈0.67Ω.
Step 5: Compare with the given options.
The calculated value matches option A.
The final answer is A.0.67Ω.
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