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?

(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.