If five equal pieces of a resistance wire having 5 Omega resistance are connected in parallel, their equivalent resistance will be …………… .

If five equal pieces of a resistance wire having 5 Omega resistance ar

1.	If five equal pieces of a resistance wire having 5 Omega resistance are connected in parallel, their equivalent resistance will be …………… .
Answer» `1/5 Omega` `1 Omega` `5Omega` `25 Omega` Solution :When a resistance WIRE having `5 Omega` resistance is cut into five equal pieces, each piece will have resistance `1 Omega`,i.e., `R_1 = R_2 = R_3 = R_4 =R_5 =1 Omega`. The equivalent resistance (`R_p`) of their PARALLEL combination is given by, `1/R_p = 1/R_1 + 1/R_2 + 1/R_3 + 1/R_4 + 1/R_5` `:. 1/R_p = 1/1+ 1/1 + 1/1 + 1/1 + 1/1` `:. 1/R_p = 5/1` `:. R_p = 1/5 Omega`