Question

A generator supplied power to a factory through cables of total resistance $20\Omega$. The potential difference at the generator is $5kV$ and the power output is $50kW$. The potential difference of the supply mains at the factory is-

• A. $5kV$
• B. $4.4kV$
• C. $4.8kV$
• D. $4.6kV$

Answer 1

Answer: (C)

$4.8kV$

Current through cable $I=\frac{P}{V}=\frac{50kW}{5kV}=10A$

Potential drop across th ecables $=IR=\left(10\right)\left(20\right)=200V$

So potential difference at factory $=5000-200=4800V$