A 70-Ω electrical appliance and a 100-Ω electrical appliance are plugged into the outlets of a house. By what factor will the power used cha

Question

A 70-Ω electrical appliance and a 100-Ω electrical appliance are plugged into the outlets of a house. By what factor will the power used change if an additional 130-Ω electrical device is plugged in?

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Nho 5 years 2021-08-28T21:20:28+00:00 1 Answers 11 views 0

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  1. RobertKer
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    2021-08-28T21:21:31+00:00
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    Answer:

    For an additional 130-Ω electrical device, the power used will change by a factor of 0.77.

    Explanation:

    Power is given as;

    P = I²R

    Where;

    P is the power used due to resistance of the electrical appliance

    I is the current passing through the appliance

    R is the resistance offered by the appliance

    For 70-Ω electrical appliance and  100-Ω electrical appliance, the total power used is;

    P = 70I² + 100 I² =  (170I²) W

    for an additional 130-Ω electrical device, the new the total power used is;

    P = 130I² +  (170I²)  = (300 I²)W

    Change \ in \ power \ used = \frac{I^2(300-170)}{I^2(170)} =0.77

    Therefore, for an additional 130-Ω electrical device, the power used will change by a factor of 0.77.

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