A line having a total resistance of `0.2` `omega` delivers `10 KW` at `220 V` to a small factory . Calculate the efficiency of transmission .

Options

A. 0.65
B. 0.75
C. 0.85
D. 0.95

Answer

D

Explanation

`P_(0) = 10 kW, R = (200)^(2)/(10 xx 10^(3)) = 4 Omega`
`i=200/4 = 50 A`
(Loss of power) (P) `=(50)^(2) xx 0.2 = 0.5 kW`
`eta = (10 xx 10^(3))/(10) xx 10^(3) + (0.5 xx 10^(3)) = 10/10.5 = 95.24% = 95%`