what is the effective resistance of the parallel of 40 ohm and 60 ohm
1/R = 1/40 + 1/60
To calculate the effective resistance of a parallel combination, you can use the formula:
1/Reff = (1/R1) + (1/R2) + (1/R3) + ...
In this case, we have two resistors in parallel: 40 ohm and 60 ohm. Therefore, we can use the formula above to calculate the effective resistance:
1/Reff = (1/40) + (1/60)
To simplify this equation, we find the common denominator, which is 120:
1/Reff = (3/120) + (2/120)
Combining the fractions:
1/Reff = 5/120
Now, to isolate Reff on one side of the equation, we take the reciprocal of both sides:
Reff = 120/5
Simplifying the fraction:
Reff = 24
Therefore, the effective resistance of the parallel combination of 40 ohm and 60 ohm resistors is 24 ohm.