Question

A toaster oven has a resistive heating element. The average rate at which it dissipates energy as thermal energy is 1.00 kW. In the United States, emf amplitude in household circuits is Emax = 170 V and the AC oscillation rate is 60 Hz.
What is the root-mean-square current through the heating element?

Answer 1

Answer:

I = 8.31 A

Explanation:

given,

Thermal Energy = 1 kW

Emf amplitude = 170 V

AC oscillation = 60 Hz

$E_{rms} = \dfrac{E_{max}}{\sqrt{2}}$

$E_{rms} = \dfrac{170}{\sqrt{2}}$

$E_{rms} =120.21\ V$

Rms current is calculated as

P = VI

$I =\dfrac{P}{V}$

$I =\dfrac{1000}{120.21}$  

I = 8.31 A

the root-mean-square current through the heating element is equal to I = 8.31 A