Question

If 3 resistors are connected in parallel(R1 = 5ohm, R2 = 10ohm, R3= 30ohm), what will be the resultant resistance​

Answer 1

Answer:

The total resistance of the 3 resistors will be 3 ohm

Explanation:

The question—> What is the resultant resistance?

Given values are that,

•R1 = 5ohm

•R2 = 10ohm

•R3 = 30ohm

——————————————

Now, According to the law of combined resistance in parallel

We know that if the resistors are connected in parallel then the total resistance of the resistors is equal to the sum of the fraction of total resistors

So,

1/R= 1/R1 + 1/R2 + 1/R3

Putting given values we get,

1/R = 1/5 + 1/10 + 1/30

Taking L.C.M. we get that

1/R = (6 + 3 + 1)/30

1/R = 10/30

=> 1/R=1/3

=> 1/R=1/3

Hence, R= 3 ohm

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