Answer:
The electrical energy and time required for it to consume the same energy are [tex]3.24\times10^{5}\ J[/tex] and 18 min.
Explanation:
Given that,
Power = 90 W
Voltage V = 120 V
Current = 2.5
(a). We need to calculate the amount of energy
Using formula of energy
[tex]Q=pt[/tex]
Where, p = power
t = time
Put the value into the formula
[tex]Q=90\times1[/tex]
[tex]Q=90\times3600[/tex]
[tex]Q=3.24\times10^{5}\ J[/tex]
(b). We need to calculate the power
Using formula of power
[tex]P=V\times I[/tex]
Where, I = current
V = voltage
Put the value into the formula
[tex]P=120\times2.5[/tex]
[tex]P=300\ W[/tex]
We need to calculate the time
Using formula of time
[tex] t= \dfrac{Q}{P}[/tex]
Put the value into the formula
[tex]t=\dfrac{3.24\times10^{5}}{300}[/tex]
[tex]t=1080\s[/tex]
[tex]t=\dfrac{1080}{60}=18\ min[/tex]
Hence, The electrical energy and time required for it to consume the same energy are [tex]3.24\times10^{5}\ J[/tex] and 18 min.