Two resistors, one 12Ohms and the other 18 Ohms, are connected in parallel. What is the equivalent resistance of the parallel combination?
i know when its paralle 1/Req= 1/R1 + 1/R2...
Ohm my goodness, it's time for some resistance math! When you have resistors in parallel, you can calculate the equivalent resistance using the formula:
1/Req = 1/R1 + 1/R2
Let's plug in the given values:
1/Req = 1/12 + 1/18
Now, let's find a common denominator:
1/Req = 3/36 + 2/36
Adding those fractions up:
1/Req = 5/36
To solve for Req, we just need to take the reciprocal of both sides:
Req = 36/5
And there you have it, the equivalent resistance of the parallel combination is approximately 7.2 Ohms. Keep on shocking your circuits with questions, my friend!
To find the equivalent resistance of two resistors in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2
where "Req" is the equivalent resistance and "R1" and "R2" are the resistances of the individual resistors.
In this case, you have R1 = 12 Ohms and R2 = 18 Ohms.
Plugging these values into the formula, you get:
1/Req = 1/12 + 1/18
To simplify this equation, you need to find a common denominator for 12 and 18. The lowest common denominator is 36.
1/Req = (3/36) + (2/36)
1/Req = 5/36
To solve for Req, you need to take the reciprocal of both sides of the equation:
Req = 36/5
Therefore, the equivalent resistance of the parallel combination is 36/5 Ohms, or approximately 7.2 Ohms.
To find the equivalent resistance of two resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2
Where Req is the equivalent resistance and R1, R2 are the resistances of the individual resistors.
In this case, R1 = 12 Ohms and R2 = 18 Ohms.
Plugging in the values into the formula:
1/Req = 1/12 + 1/18
To add the fractions together, we need a common denominator:
1/Req = (3/36) + (2/36)
Combining the fractions:
1/Req = 5/36
Invert both sides of the equation to isolate Req:
Req/1 = 36/5
Simplifying the fraction:
Req = 36/5
Therefore, the equivalent resistance of the two resistors connected in parallel is 7.2 Ohms.
That is correct.
the other way to think about it is to add conductance
Conductance = 1/resistance
1/12 + 1/18 = 3/36 + 2/36 = 5/36
so resistance = 36/5 Ohms