Question

An electric heater is rated at 1400 W, a toaster is rated at 1150 W, and an electric grill is rated at 1560 W. The three appliances are connected in parallel across a 112 V emf source. Find the current in the heater.

Answer 1

Answer:

The current in the heater is 12.5 A

Explanation:

It is given that,

Power of electric heater, P₁ = 1400 W

Power of toaster, P₂ = 1150 W

Power of electric grill, P₃ = 1560 W

All three appliances are connected in parallel across a 112 V emf source. We need to find the current in the heater. We know that in parallel combination of resistors the current flowing in every branch of resistor divides while the voltage is same.

Electric power, $P_1=V\times I_1$

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

$I_1=\dfrac{1400\ W}{112\ V}$

$I_1=12.5\ A$

So, the current in the heater is 12.5 A. Hence, this is the required solution.