A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 14 A, while that of the vacu

Question

A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 14 A, while that of the vacuum cleaner is 4.2 A. Determine the power consumed by (a) the blow-dryer and (b) the vacuum cleaner. (c) Determine the ratio of the energy used by the blow-dryer in 16 minutes to the energy used by the vacuum cleaner in 43 minutes.

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Mộc Miên 2 months 2021-08-01T02:50:13+00:00 1 Answers 3 views 0

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    2021-08-01T02:51:52+00:00

    Answer:

    The correct solution is:

    (a) 1680 W

    (b) 504 W

    (c) 1.240

    Explanation:

    The given values are:

    Voltage,

    V = 120 V

    Current of blow dryer,

    I₁ = 14 A

    Current of vacuum cleaner,

    I₂ = 4.2 A

    Time,

    t₁ = 16 min

    t₂ = 43 min

    As we know,

    Power (P) = VI

    (a)

    For blow dryer:

    P_1=V\times I_1

            =120\times 14

            =1680 \ W

    (b)

    For Vacuum cleaner:

    P_2=V\times I_2

            =120\times 4.2

            =504 \ W

    (c)

    The ratio will be:

    = \frac{Blow \ dryer \ energy}{Vacuum \ cleaner \ energy}

    = \frac{P_1\times t_1}{P_1\times t_2}

    = \frac{1680\times 16}{504\times 43}

    = \frac{26880}{21672}

    = 1.240

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