Three resistors of resistant 1ohlm,3ohlm and 5ohlm are connected in parrallel in a circuit,calculate the equivalent resistance of the combination

Answer 1

To find the equivalent resistance of resistors connected in parallel, we can use the formula:

1/Req = 1/R1 + 1/R2 + 1/R3

where Req is the equivalent resistance, and R1, R2, and R3 are the individual resistances of the resistors.

Substituting the given values:

1/Req = 1/1 + 1/3 + 1/5

1/Req = 1 + 1/3 + 1/5

To solve this, find a common denominator for the fractions, which is 15, so:

1/Req = (15/15) + (5/15) + (3/15)

1/Req = (15 + 5 + 3)/15

1/Req = 23/15

Now take the inverse of both sides to get the equivalent resistance:

Req = 15/23

Therefore, the equivalent resistance of the combination is 15/23 Ohms, or approximately 0.652 Ohms.