The GATE Grind

GATE 2022 EE – Question 30

Power Systems · Basic concepts of electrical power generation, AC and DC transmission concepts, Models and performance of transmission lines and cables · 1 mark · Numerical answer

If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________. (round off to nearest integer)

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 13

Explanation

The loss in decibels is $10\log_{10}\frac{P_{in}}{P_{out}}=10\log_{10}\frac{1}{0.05}=10\log_{10}20=13.01\approx13$ dB.