n conducting wires of same dimensions bu...

`n` conducting wires of same dimensions but having resistivities 1,2,3,….n are connected is series. The equivalent resistivity of the combination is

A

`(n(n + 1))/(2)`

B

`(n + 1)/(2)`

C

`(n + 1)/(2n)`

D

`(2n)/(n + 1)`

Verified by Experts

The correct Answer is:

B

`R = R_1 + R_2 + ….R_(n)
(?(nl))/A = 1 l/A + 2 l/A +… + n l/A
rhon = 1 + 2 + 3 + …….+n
rho = (n(n+1))/2 = (n + 1)/2`

Similar Questions

Explore conceptually related problems

Two wires of same dimension but resistivities rho_1 and rho_2 are connected in series. The equivalent resistivity of the combination is

Two wires of same dimension but resistivity p_(1) and p_(2) are connected in series. The equivalent resistivity of the combination is

Two wires of the same dimensions but resistivities rho_(1) and rho_(2) are connected in series. The equivalent resistivity of the combination is

The wires is of same dimension but resistivities rho_1 and rho_2 are connected in parallel . The equivalent resistivity of the combination is

The equivalent resistance in series combination is

Two wires of same radius having lengths l_(1)andl_(2) and resistivities rho_(1)andrho_(2) are connected in series. The equivalent resistivity will be