Two resistors each of 15 Ohm and 10 Ohm are in parallel, find the effective resistance
review your text. I'm sure it says that
1/R = 1/15 + 1/10
To find the effective resistance (Req) of two resistors in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + ...
In this case, we have two resistors:
R1 = 15 Ohm
R2 = 10 Ohm
Plugging these values into the formula, we get:
1/Req = 1/15 + 1/10
To simplify the equation, we need to find a common denominator. The least common multiple of 15 and 10 is 30.
So, we rewrite the equation as:
1/Req = (2/30) + (3/30)
Adding the fractions, we get:
1/Req = 5/30
To find Req, we take the reciprocal of both sides:
Req = 30/5
Simplifying, we get:
Req = 6 Ohm
Therefore, the effective resistance of the two resistors in parallel is 6 Ohm.