Represent the voltage in phasor notation and time domain -

Question

Question 1
Represent the following current in polar notation.
i(t)= 20 sin (ωt+60°)

Question 2
Calculate the AC steady state current when v(t)=100 sin(200t+60) for the element L=5mH. Represent the current in polar notation and in time domain

Question 3
If the current i(t)=20 sin (314t) amperes passes through a pure capacitor C=12μF, calculate the voltage across the element.

Represent the voltage in phasor notation and time domain

Question 4
Determine the impedance value for the applied voltage v(t) = 30 sin (1000t+75°) and i(t) =6 sin (1000t+95°) and also draw the phasor impedance diagram.

Question 5
Voltage source V_m = 20∠0° is connected in series with the two impedances Z₁ = 80∠0Ω and Z₂ = 6∠60Ω.

Calculate the voltage across each impedance.

Question 6
Convert the complex number into polar form 6-j9.