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?

Respuesta :

Answer:

(a) 165.46 V

(b) 7.78 A

Explanation:

(a) From the question,

Vrms = Vβ‚€/√2...................... Equation 1

Where Vβ‚€ = maximum potential difference across a lamp connected to the outlet.

make Vβ‚€ the subject of the equation.

Vβ‚€ = √2(Vrms)............... Equation 2

Given: Vrms = 117 V.

Substitute into equation 2

Vβ‚€ = (√2)(117)

Vβ‚€ = 165.46 V.

(b) Similarly,

Iβ‚€ = √2(Irms)....................... Equation 3

Given: Irms = 5.5 A

Substitute into equation 3

Iβ‚€ = (√2)(5.5)

Iβ‚€ = 7.78 A.