Current Electricity Charging Discharging Of Capacitors Question 535

Question: An electric bulb marked 40 W and 200 V, is used in a circuit of supply voltage 100 V. Now its power is

[AIIMS 2002]

Options:

A) 100W

B) 40W

C) 20W

D) 10W

Show Answer

Answer:

Correct Answer: D

Solution:

$ P=\frac{V^{2}}{R} $
$ \Rightarrow \frac{P _{2}}{P _{1}}=\frac{V _{2}^{2}}{V _{1}^{2}} $ ( $ \because R $ is constant)
$ \Rightarrow \frac{P _{2}}{P _{1}}={{( \frac{100}{200} )}^{2}}=\frac{1}{4} $
$ \Rightarrow P _{2}=\frac{P _{1}}{4}=\frac{40}{4}=10,W $