A current i = 4 + 3√2 sinωt A flows through a 2 Ω resistor. Select all correct statements regarding the current and power dissipation.
Select all that apply

Question

A current i = 4 + 3√2 sinωt A flows through a 2 Ω resistor. Select all correct statements regarding the current and power dissipation.

G1 Physics · Accepted Answer

The DC component is 4 A and the RMS value of the sinusoidal component is 3 A. Thus Iᵣₘₛ² = 4² + 3² = 25, so Iᵣₘₛ = 5 A. Total power = Iᵣₘₛ²R = 25 × 2 = 50 W. The AC component alone dissipates 3² × 2 = 18 W.