Question

An electric heater and an electric bulb are rated 500 W, 220 V and 100 W, 220 V respectively. Both are connected in series to a 220 V a.c. mains.

Calculate power consumed by :-
(i) heater
(ii) bulb.

[Chapter :- Electricity ]​

Answer 1

REFERS TO ATTACHMENT!!!!!!

Answer 2

Answer:

$\huge\underline\orange{\mathcal Answer}$

Given :-

Electric Heater :-

Power = 500 W

Voltage = 220 V

Electric Bulb :-

Power = 100 W

Voltage = 220 V

$\large{\boxed{\mathcal P={\frac{{V}^{2}}{R}}}}$

Resistance Of Heater :-

$\large{\mathcal Rh ={\frac{220×220}{500}}}$

$\large{\boxed{\mathcal Rh= 96.8Ohm}}$

Resistance Of Bulb :-

$\large{\mathcal RL = {\frac{220×220}{100}}}$

$\large{\boxed{\mathcal RL=484Ohm}}$

Current In The Circuit When Both Are Connected In series :-

$\large{\boxed{\mathcal I ={\frac {V}{RL+Rh}}}}$

$\large{\mathcal I={\frac{220}{484+96.8}}}$

$\large{\boxed{\mathcal I = 0.38}}$

(1) Power Consumed By Heater :-

$\large{\boxed{\mathcal Ph = {I}^{2}Rh}}$

$\large{\mathcal Ph = 0.38×0.38×96.8}$

$\huge{\boxed{\mathcal Ph= 13.98W}}$

(2) Power Consumed By Bulb :-

$\large{\mathcal PL = 0.38×0.38×484}</p><p>$

$\huge{\boxed{\mathcal PL= 69.89W}}$

$\huge\orange{\mathcal Hope\:it\:helps!!!}$