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5 December, 20:59

Circuit A in a house has a voltage of 218 V and is limited by a 45-A circuit breaker. Circuit B is at 120.0 V and has a 25-A circuit breaker.

What is the ratio of the maximum power delivered by circuit A to that delivered by circuit B?

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  1. 5 December, 21:16
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    3.27

    Explanation:

    Electric Power: This can be defined as the rate at which electric energy is consumed. The unit of power is Watt (W).

    Mathematically, electric power is represented as

    P = VI ... Equation 1.

    Where P = power, V = voltage, I = Current.

    For Circuit A,

    P₁ = V₁I₁ ... Equation 2

    Where P₁ = maximum power delivered by circuit A, V₁ = Voltage of circuit A, I₁ = circuit breaker rating of circuit A.

    Given: V₁ = 218 V, I₁ = 45 A.

    Substituting into equation 2

    P₁ = 218*45

    P₁ = 9810 W.

    For Circuit B,

    P₂ = V₂I₂ ... Equation 3

    Where P₂ = maximum power delivered by the circuit B, V₂ = voltage of circuit B, I₂ = circuit breaker rating of circuit B

    Given: V₂ = 120 V, I₂ = 25 A.

    Substitute into equation 3

    P₂ = 120 (25)

    P₂ = 3000 W.

    Ratio of maximum power delivered by circuit A to that delivered by circuit B = 9810/3000

    = 3.27.

    Thus the ratio of maximum power delivered by circuit A to circuit B = 3.27
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