Question

the resistance of a conductor is 27 ohm if it is cut into 3 equal parts and connected in parallel then its total resistance is​

Answer 1

R=27ohm (given)

R/3 (I.E 27/3)

Then each resistor will be of 9ohm resistance (r1=r2=r3=9)..... (1)

So according to the question we have,

1/R(p)=1/r1+1/r2+1/r3

(parallel combination formula)

So from (1) we have,

1/R(p)=1/9+1/9+1/9

1/R(p)=3/9

R(p)=9/3(Reciprocal)

R(p) =3ohm

Thus, the equivalent resistance is 3ohm

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Answer 2

Answer:3 ohm

Explanation:

Resistance (R)=27ohm

When a wire is cut into 3 equal parts it's resistance becomes R÷3

That is 27÷3,

Given that it is connected in in parallel

So,1÷Rp=1÷R1+1÷R2+1÷R3(recipocals of given resistance)

1÷Rp=3÷27+3÷27+3÷27

=9÷27

Rp=27÷9

=3