The battery for a certain cell phone is rated at 3.70 V. According to the manufacturer it can produce math]3.15 \times 10^{4} J[/math] of el

Question

The battery for a certain cell phone is rated at 3.70 V. According to the manufacturer it can produce math]3.15 \times 10^{4} J[/math] of electrical energy, enough for 5.25 h of operation, before needing to be recharged. Find the average current that this cell phone draws when turned on.

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Hưng Khoa 5 months 2021-08-22T14:28:50+00:00 1 Answers 5 views 0

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    2021-08-22T14:30:28+00:00

    Answer:

    The average current that this cell phone draws when turned on is 0.451 A.

    Explanation:

    Given;

    voltage of the phone, V = 3.7 V

    electrical energy of the phone battery, E = 3.15 x 10⁴ J

    duration of battery energy, t = 5.25 h

    The power the cell phone draws when turned on, is the rate of energy consumption, and this is calculated as follows;

    P = \frac{E}{t}

    where;

    P is power in watts

    E is energy in Joules

    t is time in seconds

    P = \frac{3.15*10^4}{5.25*3600s} = 1.667 \ W

    The average current that this cell phone draws when turned on:

    P = IV

    I = \frac{P}{V} =\frac{1.667}{3.7} = 0.451 \ A

    Therefore, the average current that this cell phone draws when turned on is 0.451 A.

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