An electrical power line, having a total resistance of 2Ω, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately:

Question

An electrical power line, having a total resistance of 2Ω, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately: (A) 72 % (B) 96 % (C) 91 % (D) 85 %

Tardigrade Admin · Accepted Answer

vi =103 i =(1000/220) loss = i 2 R =((50/11))2 × 2 efficiency =(1000/1000+ i 2 R ) × 100=96 %

Q. An electrical power line, having a total resistance of $2Ω,$ delivers $1 kW$ at $220 V$ . The efficiency of the transmission line is approximately:

$72%$

$96%$

$91%$

$85%$

$v i = 1 0^{3}$
$i = \frac{1000}{220}$
loss $= i^{2} R = (\frac{50}{11})^{2} \times 2$
efficiency $= \frac{1000}{1000 + i ^{2} R} \times 100 = 96%$

Q. An electrical power line, having a total resistance of 2Ω, delivers 1kW at 220V. The efficiency of the transmission line is approximately:

72%

96%

91%

85%