Question

two room heaters are marked 220v,500w and 220v,800w respectively.If the heaters are connected in parallel to 220v main supply, Calculate:

(i)the current drawn by each heater.

(ii)the resistance of each heater.

(iii)total electric energy consumed in commercial units if they operate simultaneously for 2 hours

Answer 1

The solutions of following parts are as follows:

Explanation:

It is given that,

Power of heater 1, $P_1=500\ W$

Power of heater 2, $P_2=800\ W$Vltage, V = 220 V

In parallel combination, potential difference across each resistors remains the same.

1. Power is given by:

$P=V\times I$

Room heater 1,

$I_1=\dfrac{P_1}{V}$

$I_1=\dfrac{500}{220}$

$I_1=2.27\ A$

Room heater 2,

$I_2=\dfrac{P_2}{V}$

$I_2=\dfrac{800}{220}$

$I_2=3.63\ A$

2. Ohm's law,

$V=IR$

For heater 1,

$R_1=\dfrac{V}{I_1}$

$R_1=\dfrac{220}{2.27}$

$R_1=96.91\ \Omega$

For heater 2,

$R_2=\dfrac{V}{I_2}$

$R_2=\dfrac{220}{3.63}$

$R_2=60.6\ \Omega$

3. Total electric energy consumed in commercial units if they operate simultaneously for 2 hours is,

$E=(500+800)\times 2$

E = 2600 Wh

or

E = 2.6 kWh

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Answer 2

Explanation:

thxx. I hope it's help you