Answer:
[tex]9.67\times 10^4 J[/tex]
Explanation:
We are given that
Current=I=1.75 A
Resistance =R=55.4 ohm
Time=t=9.5 min=[tex]9.5\times 60=570 s[/tex]
1 min=60 s
We have to find the heat generated by the resistor.
We know that
Heat=E=[tex]I^2Rt[/tex]
Using the formula
Heat,[tex]E=(1.75)^2\times 55.4\times 570=9.67\times 10^{4} J[/tex]
Hence, the heat generated by the resistor =[tex]9.67\times 10^4 J[/tex]
The heat generated in resistor is 1611.8 Joules.
To understand more, check below explanation.
The heat generated in resistor is computed by using formula,
[tex]H=i^{2} *R*t[/tex]
Where,
H is heat generated.
i is current.
t is time.
R is resistance of wire.
it is given that, i = 1.75A, R = 55.4 Ω and t = 9.5 min
Substitute all values in above formula.
[tex]H=(1.75)^{2} *55.4*9.5\\\\H=3.0625*55.4*9.5\\\\H=1611.8 J[/tex]
Hence, the heat generated in resistor is 1611.8 Joules.
Learn more about the resistor here:
https://brainly.com/question/24858512
