The final temperature of the heating element is 462.5 Celsius 462.5 Celsius.
<h3>What is power?</h3>
Power can be described as the ability to do work, however, it can be found through the resistance and the current by using the formular, P=VI.
Voltage V1= 120V
initial current I= 1.80 A
The power can be calculated using the formula as :
P=VI
where
I= current is 1.53
Voltage V1= 120V
Power= (120 * 1.53)
= 183.6 Watts
Therefore, power delivered to the toaster when it is at its operating temperature is 183.6 Watts
then , when the wire is at a temperature of 20.0°C, we have,
Resistance,
=120/1.80
=66.6 ohm
Then at the operating temperature,
=120/53
=78.43 ohm
To calculate the final temperature of the heating element, we can calculate it using the formula,
R= R0[ (1+α)H]
Then we can substitute the values as :
78.43 =[66.6(1+0.0004(t-20)]
note that α for Nichrome is 0.0004.
Then, 1.177=1+0.0004(t-20)
Then, (t-20)= 1.177/ 1+0.0004
t-20 =422.5
t=462.5 Celsius
Therefore, final temperature of the heating element is 462.5 Celsius 462.5 Celsius.
Learn more about Temperature on:
brainly.com/question/25677592
#SPJ4