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16 July, 14:39

Q2: The RMS potential difference of an AC household outlet is 117 v.

a) What is the maximum potential difference across a lamp connected to the outlet?

b) If the RMS current through the lamp is 5.5 A, what is the lamp's maximum current?

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  1. 16 July, 15:45
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    (a) 165.46 V

    (b) 7.78 A

    Explanation:

    (a) From the question,

    Vrms = V₀/√2 ... Equation 1

    Where V₀ = maximum potential difference across a lamp connected to the outlet.

    make V₀ the subject of the equation.

    V₀ = √2 (Vrms) ... Equation 2

    Given: Vrms = 117 V.

    Substitute into equation 2

    V₀ = (√2) (117)

    V₀ = 165.46 V.

    (b) Similarly,

    I₀ = √2 (Irms) ... Equation 3

    Given: Irms = 5.5 A

    Substitute into equation 3

    I₀ = (√2) (5.5)

    I₀ = 7.78 A.
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