Current Electricity Charging Discharging Of Capacitors Question 534

Question: A wire when connected to 220V mains supply has power dissipation $ P _{1} $ . Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is $ P _{2} $ . Then $ P _{2}:P _{1} $ is

[AIEEE 2002]

Options:

A) 1

B) 4

C) 2

D) 3

Show Answer

Answer:

Correct Answer: B

Solution:

When wire is cut into two equal parts then power dissipated by each part is $ 2P _{1} $ So their parallel combination will dissipate power $ P _{2}=2P _{1}+2P _{1}=4P _{1} $ Which gives $ \frac{P _{2}}{P _{1}}=4 $