The power supplied to a typical black-and-white television set is 90 W when the set is connected to 120 V. (a) How much electrical energy does this set consume in 1 hour? (b) A color television set draws about 2.5 A when connected to 120 V. How much time is required for it to consume the same energy as the black-andwhite model consumes in 1 hour?

Respuesta :

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.

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