Question

A servo stabilizer restricts voltage output to $220V\pm 1$. If an electric bulb 100 W/ 20 V is connected to it, find the maximum power consumed by it in W.

Answer 1

Given: a servo stabilizer restricting a voltage output to $220V\pm 1$. An electric bulb of $100W/220V$ is connected to it

To find the maximum power consumed by it in $W$

Solution:

We know,

$\frac{\Delta P}{P}=\frac{2\Delta V}{V}$

According to the question, $\Delta V=1,V=100,P=100$

$⟹\Delta P=P\left(\frac{2\times 1}{100}\right)=100\times \frac{2}{100}=2W$

Therefore, maximum power consumed by it = $100+2=102W$