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

formula to find resistance of conductor, $R=\rho\frac{l}{A}$

hence, resistance of conductor is directly proportional to its length.

so, if a conductor of length L is cut into three pieces then, resistance of each piece of conductor will be 27/3 ohm = 9 ohm

now, all these three resistors are connected in parallel combination.

then, 1/Req = 1/9 + 1/9 + 1/9 = 3/9 = 1/3

so, Req = 3 ohm

hence, equivalent resistance will be 3 ohm

Answer 2

Answer:

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​ 3 Ω

Step-by-step explanation:

the resistance of a conductor is 27 ohm

it is cut into 3 equal parts

so resistance of one part = 27/3 = 9 Ω

These three resistances of 9 Ω connected in parallel

so effective resistance =

1/(1/9 + 1/9 + 1/9)

= 9/(1 + 1 + 1)

= 9/3

= 3 Ω