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5 May, 06:56

An electric car is being designed to have an average power output of 4,600 W for 2 h before needing to be recharged. (Assume there is no wasted energy.)

How much energy would be stored in the charged batteries? = J

The batteries operate on 80 V. What would the current be when they are operating at 4,600 W? = A

To be able to recharge the batteries in 1 h, how much power would have to be supplied to them? = W

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  1. 5 May, 07:43
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    a) 3312 x 10⁴ J

    b) I = 57.5 A

    c) 9200 W

    Explanation:

    Given that

    P = 4600 W

    Time t = 2 h = 2 x 3600 s = 7200 s

    We know that

    1 W = 1 J/s

    a)

    Energy stored in the battery = P. t

    =4600 x 7200 J

    =3312 x 10⁴ J

    b)

    We know that power P given as

    P = V. I

    V=Voltage, I = Current

    4600 = 80 x I

    I = 57.5 A

    c)

    The energy supplied = 4600 x 2 = 9200 W
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