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8 November, 14:19

An operating television set draws 0.71 ampere of current when connected to a 120-volt outlet. Calculate the time it takes the television to consume 3.0 x 10^5 joules of electronic energy. [Show all work, including an equation and substitution with units]. * * Round to the nearest whole number

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Answers (2)
  1. 8 November, 14:34
    0
    3521 seconds

    Explanation:

    The power that the television uses is calculated multiplying the current by the voltage:

    P = I * V

    with I = 0.71 A and V = 120 Volts, we have:

    P = 0.71 * 120 = 85.2 W

    To find the time it takes to consume 3*10^5 Joules, we need to know that the total energy consumed is equal to the power times the amount of time, so:

    E = P * t

    with E = 300000 and P = 85.2, we have:

    300000 = 85.2 * t

    t = 300000/85.2 = 3521.13 seconds = 3521 seconds
  2. 8 November, 14:47
    0
    3521 s

    Explanation:

    Using

    E = VIt ... Equation 1

    Where E = Energy consumed by the television, V = Voltage connected to the television, I = current drawn by the television, t = time.

    Make t the subject of the equation

    t = E/VI ... Equation 2

    Given: E = 3.0*10⁵ J, V = 120 V, I = 0.71 A

    Substitute into equation 2

    t = 3.0*10⁵ / (120*0.71)

    t = 3.0*10⁵/85.2

    t = 3.52*10³ s = 3521 s

    Hence the time taken for the television to consume 3.0*10⁵ J of electronics energy = 3521 s
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