Hey John, good to see you again.
Step 1: Identify the formula for resistors in parallel.
The formula for the equivalent resistance (Req) of resistors connected in parallel is:
Req1=R11+R21+R31+...
Step 2: Substitute the given values into the formula.
We have three resistors, each with a resistance of 4Ω. So, R1=4Ω, R2=4Ω, and R3=4Ω.
Req1=4Ω1+4Ω1+4Ω1
Step 3: Calculate the sum of the fractions.
Since the denominators are the same, we can add the numerators directly.
Req1=4Ω1+1+1=4Ω3
Step 4: Solve for Req.
To find Req, we take the reciprocal of both sides of the equation.
Req=34Ω
Step 5: Express the answer as a decimal or fraction.
Req≈1.33Ω
The equivalent resistance is 34Ω.
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